Lin Z. and Saberi A. Semi-global exponential stabilization of linear discrete-time systems subject to input saturation via linear feedbacks. Systems & Control Letters, 24:125--132, 1995. 23  Home/Search   Document Details and Download   Summary   Related Articles   Check

.... grant DAAH 04 95 1 0588 1 closed left half plane, under the additional assumption of null controllability, one can obtain either global results using nonlinear control laws ( 5, 6] or semi global results using linear feedback ( 7] Similar results for discrete time systems can be found in [8, 9]. Semi global output regulation for linear, null controllable systems can be found in [10] and is also considered in [6] Most of the previous results hold for linear systems. Stabilization results for a certain class of nonlinear systems (called feed forward systems) can be found in [6] while in ....

Lin Z. and Saberi A. Semi-global exponential stabilization of linear discrete-time systems subject to input saturation via linear feedbacks. Systems & Control Letters, 24:125--132, 1995. 23

.... poles on the Research supported by the Army Research Office under grant DAAH 04 95 1 0588 1 closed left half plane, under the additional assumption of null controllability, one can obtain either global results using nonlinear control laws ( 5, 6] or semi global results using linear feedback ([7]) Similar results for discrete time systems can be found in [8, 9] Semi global output regulation for linear, null controllable systems can be found in [10] and is also considered in [6] Most of the previous results hold for linear systems. Stabilization results for a certain class of nonlinear ....

Lin Z. and Saberi A. Semi-global exponential stabilization of linear systems subject to input saturation via linear feedbacks. Systems & Control Letters, 21(3):225--239, 1993.

.... For systems with poles on the closed left half plane, under the additional assumption of null controllability, one can obtain either global results using nonlinear control laws ( 10, 11] or semi global results using linear feedback ( 12] Similar results for discrete time systems can be found in [13, 14]. In our opinion, the problem of output tracking in the presence of control constraints has not been heavily addressed in sufficient detail. Semi global output regulation for linear, null controllable systems can be found in [15] and is also considered in [11] Most of the previous results hold ....

....problem of stabilization under input saturation without necessarily using linear feedback laws after we have feedback linearized the open loop system. The problem of stabilizing linear systems with saturation has received great deal of attention in recent years. Solutions involving linear feedback [14, 12] as well as nonlinear feedback [11, 10, 13] have been developed. We illustrate some of the issues involved in this endeavor. Consider the following system, x = Gammax 3 u (31) juj M The above system is globally asymptotically stable with u = 0. But, the methodology of the last section ....

Lin Z. and Saberi A. Semi-global exponential stabilization of linear discrete-time systems subject to input saturation via linear feedbacks. Systems & Control Letters, 24:125--132, 1995.

....use nonlinear feedback in order to obtain global stabilization. For systems with poles on the closed left half plane, under the additional assumption of null controllability, one can obtain either global results using nonlinear control laws ( 10, 11] or semi global results using linear feedback ([12]) Similar results for discrete time systems can be found in [13, 14] In our opinion, the problem of output tracking in the presence of control constraints has not been heavily addressed in sufficient detail. Semi global output regulation for linear, null controllable systems can be found in [15] ....

....problem of stabilization under input saturation without necessarily using linear feedback laws after we have feedback linearized the open loop system. The problem of stabilizing linear systems with saturation has received great deal of attention in recent years. Solutions involving linear feedback [14, 12] as well as nonlinear feedback [11, 10, 13] have been developed. We illustrate some of the issues involved in this endeavor. Consider the following system, x = Gammax 3 u (31) juj M The above system is globally asymptotically stable with u = 0. But, the methodology of the last section ....

[Article contains additional citation context not shown here]

Lin Z. and Saberi A. Semi-global exponential stabilization of linear systems subject to input saturation via linear feedbacks. Systems & Control Letters, 21(3):225--239, 1993.

.... plants, an LQR controller can provide semi global stability (i.e. stability for arbitrarily large but bounded sets of initial states) ANCBI plants have been considered in receding horizon literature [5, 27] and schemes for semi global stabilization with linear control laws have been proposed in [11, 12, 23, 2]. LMIs. LMIs are a flexible tool for the computation of feedback control laws, even for constrained systems. In [10] LMIs are solved on line to compute an infinite horizon state feedback that can satisfy magnitude and two norm constraints on both the inputs and outputs. An alternate LMI ....

Z. Lin and A. Saberi. Semi-global exponential stabilization of linear discrete-time systems subject to input saturation via linear feedbacks. Systems and Control Letters, 24:125--132, 1995.

.... plants, an LQR controller can provide semi global stability (i.e. stability for arbitrarily large but bounded sets of initial states) ANCBI plants have been considered in receding horizon literature [5, 28] and schemes for semi global stabilization with linear control laws have been proposed in [13, 14, 27, 1]. LMIs. LMIs are a flexible tool for the computation of feedback control laws, even for constrained systems. In [11] LMIs are solved on line to compute an infinite horizon state feedback that can satisfy magnitude and two norm constraints on both the inputs and outputs. An alternate LMI ....

Z. Lin and A. Saberi. Semi-global exponential stabilization of linear discrete-time systems subject to input saturation via linear feedbacks. Systems and Control Letters, 24:125--132, 1995.

....the closed unit disk. They encompass stable systems with integrator chains of arbitrary complexity and are representative of a great deal of industrial processes. From a different side, linear control structures were shown to only provide semi global stabilization of input saturated ANCBI systems (Lin, 1995). Non linear state feedback schemes for input saturated ANCBI plants were discussed in (Susmmann and Yang, 1991) and (Sussmann et al. 1994) All of such schemes amount to low gain control strategies which feature conservative behaviour and poor regulation performance. In an attempt to provide ....

Z. Lin, "Semi-global exponential stabilization of linear discrete-time systems subject to input saturation via linear feedbacks.", System & Control Letters, Vol. 24, pp. 125-132, 1995.

....requirements. They have always been a common feature in practical control problems. This justifies the recently renewed interest in the study of linear systems subject to input saturations [3, 15] Significant results have lately emerged in the scope of global [14] and semi global stabilization [1, 13]. They inherently require stability assumptions on the open loop system. This paper aims at studying linear systems that are not only uncertain but also subject to input saturation. Relaxing open loop stability assumptions, we focus on a robust local stabilization approach. That is to say, we ....

....to determine analytically the region of attraction of the origin [15] Hence the set D 0 appears as an interesting approximation of this region. When D 0 is an a priori given arbitrary large bounded set, to find a stabilizing feedback control is referred to as the semi global stabilization [1, 13]. When D 0 is the whole state space, the approach is called the global stabilization [14] Both methods require stability assumptions on the open loop system. In the sequel, no particular assumption is made about open loop stability and no a priori information is available regarding D 0 . We aim ....

Z. Lin and A. Saberi "Semi-global Exponential Stabilization of Linear Systems subject to `Input Saturation' via Linear Feedbacks", Systems and Control Letters, Vol. 21, pp. 225--239, 1993.

....using state space arguments [30] ffl Saturation allowance methods They consist in letting the saturation occur. The closed loop system is therefore non linear. In this sense, significant results have lately emerged in the scope of global stabilization [28, 27] and semi global stabilization [24]. They inherently require stability of the open loop system. Relaxing this stability assumption, results addressing the local stabilization problem have also been obtained [31, 17, 16, 12, 13] In this paper, we focus on a saturation avoidance method mixing some of the above mentioned techniques. ....

Z. Lin, A. Saberi "Semi-global Exponential Stabilization of Linear Systems subject to Input Saturation via Linear Feedback", Systems and Control Letters, Vol. 21, pp. 225--239, 1993.

....may rely upon positive invariance [2] or convex programming [3] Saturation allowance methods consist in letting the saturation occur. The closed loop system is therefore non linear. Significant results have lately emerged in the scope of global stabilization [20, 19] and semi global stabilization [16]. They inherently require stability of the open loop system. Relaxing this stability assumption, results addressing the local stabilization problem have also been obtained [21, 8, 7, 6] In this paper, we focus on a saturation avoidance method mixing some of the above mentioned techniques. On the ....

Z. Lin, A. Saberi "Semi-global Exponential Stabilization of Linear Systems subject to Input Saturation via Linear Feedback", Systems and Control Letters, Vol. 21, pp. 225--239, 1993.

....In [4] it is shown that for chains of integrators with more than two states, one must use nonlinear feedback in order to obtain global stabilization. For null controllable systems one can obtain either global results using nonlinear control laws ( 5] or semi global results using linear feedback ([6]) Semi global output regulation for linear, null controllable systems can be found in [7, 5] For nonlinear systems, stabilization results for feed forward systems can be found in [5] where the concept of nested saturation feedback is utilized. In this paper, we analyze the effect of input ....

Lin Z. and Saberi A. Semi-global exponential stabilization of linear systems subject to input saturation via linear feedbacks. Systems & Control Letters, 21(3):225--239, 1993.

....has been a surge of interest concerning stabilization of systems with saturating controls. This phenomenon is indeed a common feature of every physical realizable control system [2, 18] Several significant results have lately emerged that pertain to the problem of global [16, 17] semi global [1, 8, 12] or local stabilization [5, 6, 19] These techniques differ in the following points. In global stabilization, the set of stabilizable initial conditions is the whole state space, whereas it is an a priori given arbitrary large bounded set in the semi global framework. However, both approaches ....

....of the actuators range is not used, this often results in a serious performance sacrifice. Moreover, in practical problems uncertainty usually affects both dynamic and input matrices. However, a very few publications deal simultaneously with saturation and this type of uncertainty. In references [1, 8, 16, 19], uncertainties are not considered, 12] only tackles matched uncertainties entering the saturation function, in [5] uncertain elements only appear in the dynamic matrix, and up to the authors knowledge, only [6] handles unmatched uncertainty directly entering the input matrix. The objective of ....

Z. Lin and A. Saberi "Semi-global Exponential Stabilization of Linear Systems subject to `Input Saturation' via Linear Feedbacks", Systems and Control Letters, Vol. 21, pp. 225--239, 1993.

....proposed in [16] was modified, to remedy the problem of large control inputs. In this paper we generalize this idea to general nonholonomic systems in chained form. The construction of the proposed controller was inspired in part by the recent developments on input saturation for linear systems [6, 5]. These results (either in terms of global or semi global stability) cannot be used directly, however, since the transformed linear system is not asymptotically null controllable. The paper is organized as follows. In Section 2, we introduce a nonlinear coordinate transformation (called the oe ....

....bounded by u, then the trajectories of the system in Eq. 1) will converge to the origin and the control will also be bounded by u. Recently, numerous results have appeared in the literature dealing with the problem of global or semi global stabilization of linear systems with bounded inputs [5, 6]. Unfortunately, the open loop system in Eq. 4) has positive eigenvalues, so it is not asymptotically null controllable [5] Thus, we cannot use directly these results to derive bounded controllers for (4) However, the eigenvalues of the uncontrolled linear system in Eq. 4) can be moved ....

[Article contains additional citation context not shown here]

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear systems subject to `input saturation' via linear feedbacks," Systems and Control Letters, vol. 21, pp. 225--239, 1993.

....since they are also necessary. The controller consists of an observer followed by a smooth static nonlinearity. For more recent work, see [20] which showed based upon techniques introduced in [16] for a particular case how to simplify the controller that had been proposed in [14] See also [8] for closely related work showing that such systems can be semiglobally (that is, on compacts) stabilized by means of linear feedback. In this paper, we are interested in studying not merely closed loop state space stability, but also stability with respect to measurement and actuator noise. This ....

Lin, Z., and A. Saberi, "Semiglobal exponential stabilization of linear systems subject to `input saturation' via linear feedbacks," preprint, Wash. State U., 1993.

....using state space arguments [23] ffl Saturation allowance methods They consist in letting the saturation occur. The closed loop system is therefore non linear. In this sense, significant results have lately emerged in the scope of global stabilization [21, 20] and semi global stabilization [18]. They inherently require stability of the open loop system. Relaxing this stability assumption, results addressing the local stabilization problem have also been obtained [24, 13, 12, 8, 9] In this paper, we focus on a saturation avoidance method mixing some of the above mentioned techniques. On ....

Z. Lin, A. Saberi "Semi-global Exponential Stabilization of Linear Systems subject to Input Saturation via Linear Feedback", Systems and Control Letters, Vol. 21, pp. 225--239, 1993.

....has been a surge of interest concerning stabilization of systems with saturating controls. This phenomenon is indeed a common feature of every physical realizable control system [2, 20] Several significant results have lately emerged that pertain to the problem of global [18, 19] semi global [1, 9, 13] or local stabilization [6, 7, 17, 22] These techniques differ in the following points. In global stabilization, the set of stabilizable initial conditions is the whole state space, whereas it is an a priori given arbitrary large A preliminary version of this paper was presented in June 1998 ....

....of the actuators range is not used, this often results in a serious performance sacrifice. Moreover, in practical problems uncertainty usually affects both dynamic and input matrices. However, a very few publications deal simultaneously with saturation and this type of uncertainty. In references [1, 9, 17, 18, 22], uncertainties are not considered, 13] only tackles matched uncertainties entering the saturation function, in [6] uncertain elements only appear in the dynamic matrix, and up to the authors knowledge, only [7] handles unmatched uncertainty directly entering the input matrix. The objective of ....

Z. Lin and A. Saberi "Semi-global Exponential Stabilization of Linear Systems subject to `Input Saturation' via Linear Feedbacks", Systems and Control Letters, Vol. 21, pp. 225--239, 1993.

No context found.

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear discrete-time systems subject to `input saturation' via linear feedbacks", Systems & Control Letters, vol 24, pp. 125-132, 1995.

No context found.

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear systems subject to `input saturation' via linear feedbacks", Systems & Control Letters, vol. 21, no. 3, pp. 225-239, 1993.

....this purpose. A nested feedback design technique for designing nonlinear globally asymptotically stabilizing feedback laws was proposed in [13] and completed in [10] and [12] The notion of semi global stabilization of linear systems subject to input saturation was first introduced in [2] and in [3] for the discrete time counterpart) The semi global framework for stabilization requires feedback laws that yield a closed loop system which has an asymptotically stable equilibrium whose domain of attraction includes an a priori given (arbitrarily large) bounded set. In [2] and [3] it was shown ....

....in [2] and in [3] for the discrete time counterpart) The semi global framework for stabilization requires feedback laws that yield a closed loop system which has an asymptotically stable equilibrium whose domain of attraction includes an a priori given (arbitrarily large) bounded set. In [2] and [3], it was shown that, both for discretetime and continuous time, one can achieve semi global stabilization of linear asymptotically null controllable systems subject to input saturation using linear feedback laws. A low gain design technique based on the eigenstructure assignment was also proposed ....

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear discrete-time systems subject to `input saturation' via linear feedbacks", to appear in Systems & Control Letters.

....be used for this purpose. A nested feedback design technique for designing nonlinear globally asymptotically stabilizing feedback laws was proposed in [13] and completed in [10] and [12] The notion of semi global stabilization of linear systems subject to input saturation was first introduced in [2] (and in [3] for the discrete time counterpart) The semi global framework for stabilization requires feedback laws that yield a closed loop system which has an asymptotically stable equilibrium whose domain of attraction includes an a priori given (arbitrarily large) bounded set. In [2] and [3] ....

....in [2] and in [3] for the discrete time counterpart) The semi global framework for stabilization requires feedback laws that yield a closed loop system which has an asymptotically stable equilibrium whose domain of attraction includes an a priori given (arbitrarily large) bounded set. In [2] and [3] it was shown that, both for discretetime and continuous time, one can achieve semi global stabilization of linear asymptotically null controllable systems subject to input saturation using linear feedback laws. A low gain design technique based on the eigenstructure assignment was also ....

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear systems subject to `input saturation' via linear feedbacks", Systems & Control Letters, vol. 21, no. 3, pp. 225-239, 1993. 9

No context found.

Z. Lin and A. Saberi, Semi-global exponential stabilization of linear discrete-time systems subject to input saturation via linear feedbacks, Systems & Control Letters, vol 24, pp. 125-132, 1995.

....subject to input saturation due to a wide recognition of the inherent constraints on the control input. Although most of the results in this study pertain to the problem of global stabilization (see, for example, 2] 10] 11] 13] 12] and semi global stabilization (see, for example, 3] [4], 5] 6] 15] 7] some attempts have also been made in the solution of output regulation problems. Roughly speaking, this problem is one of controlling a linear system subject to input saturation in order to have its output track (or reject) a family of reference (or disturbance) signals ....

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear discrete-time systems subject to `input saturation' via linear feedbacks", to appear in Systems & Control Letters, vol 24, pp. 125-132, 1995.

....systems subject to input saturation due to a wide recognition of the inherent constraints on the control input. Although most of the results in this study pertain to the problem of global stabilization (see, for example, 2] 10] 11] 13] 12] and semi global stabilization (see, for example, [3], 4] 5] 6] 15] 7] some attempts have also been made in the solution of output regulation problems. Roughly speaking, this problem is one of controlling a linear system subject to input saturation in order to have its output track (or reject) a family of reference (or disturbance) ....

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear systems subject to `input saturation' via linear feedbacks", Systems & Control Letters, vol. 21, no. 3, pp. 225-239, 1993.

....subject to input saturation due to a wide recognition of the inherent constraints on the control actuator. Although most of the results in this study pertain to the problem of global stabilization (see, for example, 2] 12] 14] 16] 15] and semi global stabilization (see, for example, 6] [7], 8] 9] 18] 11] some attempts have also been made in the solution of output regulation problems for continuous time systems. Roughly speaking, this problem is one of controlling a linear system subject to input saturation in order to have its output track (or reject) a family of reference ....

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear discrete-time systems subject to `input saturation' via linear feedbacks", to appear in Systems & Control Letters.

....subject to input saturation due to a wide recognition of the inherent constraints on the control actuator. Although most of the results in this study pertain to the problem of global stabilization (see, for example, 2] 12] 14] 16] 15] and semi global stabilization (see, for example, [6], 7] 8] 9] 18] 11] some attempts have also been made in the solution of output regulation problems for continuous time systems. Roughly speaking, this problem is one of controlling a linear system subject to input saturation in order to have its output track (or reject) a family of ....

....and reference signals, we formulate and solve the generalized semi global linear feedback regulator problem, for which an external driving signal to the exosystem is included. A crucial component in the design of the regulators in this paper is the low gain design techniques developed in [4] [6] and [11] For this reason, we briefly recall the ARE based low gain design algorithm from [11] For the sake of completeness and to facilitate comparison, the regulator theory for linear systems in the absence 1 A linear discrete time system is said to be asymptotically null controllable with ....

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear systems subject to `input saturation' via linear feedbacks", Systems & Control Letters, vol. 21, no. 3, pp. 225-239, 1993.

....subject to input saturation due to a wide recognition of the inherent constraints on the control input. Although most of the results in this study pertain to the problem of global stabilization (see, for example, 2] 10] 11] 13] 12] and semi global stabilization (see, for example, 3] [4], 5] 6] 15] 7] some attempts have also been made in the solution of output regulation problems. Roughly speaking, this problem is one of controlling a linear system subject to input saturation in order to have its output track (or reject) a family of reference (or disturbance) signals ....

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear discrete-time systems subject to `input saturation' via linear feedbacks", to appear in Systems & Control Letters.

....systems subject to input saturation due to a wide recognition of the inherent constraints on the control input. Although most of the results in this study pertain to the problem of global stabilization (see, for example, 2] 10] 11] 13] 12] and semi global stabilization (see, for example, [3], 4] 5] 6] 15] 7] some attempts have also been made in the solution of output regulation problems. Roughly speaking, this problem is one of controlling a linear system subject to input saturation in order to have its output track (or reject) a family of reference (or disturbance) ....

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear systems subject to `input saturation' via linear feedbacks", Systems & Control Letters, vol. 21, no. 3, pp. 225-239, 1993.

....sense and having open loop poles in the closed left half plane. A nested feedback design technology for designing nonlinear globally asymptotically stabilizing feedback laws was proposed in [19] for a chain of integrators of length n and was fully generalized in [18] In the recent work [6] and [7], the notion of semi global stabilization of linear systems subject to input saturation was introduced. The semi global framework for stabilization requires feedback laws that yield a closed loop system which has an asymptotically stable equilibrium whose domain of attraction includes an a priori ....

....systems subject to input saturation was introduced. The semi global framework for stabilization requires feedback laws that yield a closed loop system which has an asymptotically stable equilibrium whose domain of attraction includes an a priori given (arbitrarily large) bounded set. In [6] and [7], it was shown that, under the appropriate conditions, both for discretetime and continuous time one can achieve semi global stabilization of linear systems subject to input saturation using linear feedback laws. In [6] and [7] a low gain design technology was proposed to construct semi global ....

[Article contains additional citation context not shown here]

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear discrete-time systems subject to `input saturation' via linear feedbacks", to appear in Systems & Control Letters.

....linear sense and having open loop poles in the closed left half plane. A nested feedback design technology for designing nonlinear globally asymptotically stabilizing feedback laws was proposed in [19] for a chain of integrators of length n and was fully generalized in [18] In the recent work [6] and [7] the notion of semi global stabilization of linear systems subject to input saturation was introduced. The semi global framework for stabilization requires feedback laws that yield a closed loop system which has an asymptotically stable equilibrium whose domain of attraction includes an a ....

....of linear systems subject to input saturation was introduced. The semi global framework for stabilization requires feedback laws that yield a closed loop system which has an asymptotically stable equilibrium whose domain of attraction includes an a priori given (arbitrarily large) bounded set. In [6] and [7] it was shown that, under the appropriate conditions, both for discretetime and continuous time one can achieve semi global stabilization of linear systems subject to input saturation using linear feedback laws. In [6] and [7] a low gain design technology was proposed to construct ....

[Article contains additional citation context not shown here]

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear systems subject to `input saturation' via linear feedbacks", Systems & Control Letters, vol. 21, no. 3, pp. 225-239, 1993.

No context found.

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear systems subject to `input saturation' via linear feedbacks", Systems & Control Letters, vol. 21, no.3, pp. 225-239, 1993.

....sense and having open loop poles in the closed left half plane. A nested feedback design technology for designing nonlinear globally asymptotically stabilizing feedback laws was proposed in [21] for a chain of integrators of length n and was fully generalized in [20] In the recent work [7] and [8], the notion of semi global stabilization of linear systems subject to input saturation was introduced. The semi global framework for stabilization requires feedback laws that yield a closed loop system which has an asymptotically stable equilibrium whose basin of attraction includes an a priori ....

....systems subject to input saturation was introduced. The semi global framework for stabilization requires feedback laws that yield a closed loop system which has an asymptotically stable equilibrium whose basin of attraction includes an a priori given (arbitrarily large) bounded set. In [7] and [8], it was shown that, under the appropriate conditions, both for discretetime and continuous time one can achieve semi global stabilization of linear systems subject to input saturation using linear feedback laws. In [7] and [8] a low gain design technology was proposed to construct semi global ....

[Article contains additional citation context not shown here]

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear discrete-time systems subject to `input saturation' via linear feedbacks", Systems & Control Letters, to appear.

....linear sense and having open loop poles in the closed left half plane. A nested feedback design technology for designing nonlinear globally asymptotically stabilizing feedback laws was proposed in [21] for a chain of integrators of length n and was fully generalized in [20] In the recent work [7] and [8] the notion of semi global stabilization of linear systems subject to input saturation was introduced. The semi global framework for stabilization requires feedback laws that yield a closed loop system which has an asymptotically stable equilibrium whose basin of attraction includes an a ....

....of linear systems subject to input saturation was introduced. The semi global framework for stabilization requires feedback laws that yield a closed loop system which has an asymptotically stable equilibrium whose basin of attraction includes an a priori given (arbitrarily large) bounded set. In [7] and [8] it was shown that, under the appropriate conditions, both for discretetime and continuous time one can achieve semi global stabilization of linear systems subject to input saturation using linear feedback laws. In [7] and [8] a low gain design technology was proposed to construct ....

[Article contains additional citation context not shown here]

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear systems subject to `input saturation' via linear feedbacks", Systems & Control Letters, vol. 21, no. 3, pp. 225-239, 1993.

....University P.O. Box 513, 5600 MB Eindhoven Pullman, WA 99164 2752 The Netherlands U.S.A. Tel: 31 40 465995 Tel: 1 (509) 335 9500 Email: wscoas win.tue.nl Email: rmantri eecs.wsu.edu Abstract A low gain design for linear discrete time systems subject to input saturation was recently developed in [7,11,12] to solve both semi global stabilization and semi global output regulation problems. This paper proposes an improvement to the low gain design and determines controllers with the new design that achieve semi global output regulation. The improvement is reflected in better utilization of available ....

....linear systems subject to input saturation due to a wide recognition of the inherent constraints on the control actuator. Although most of the results in this study pertain to the problem of global stabilization (see, for example, 2,14,15,17,16] and semi global stabilization (see, for example, [4,6,7,9,8,13,19,11]) some attempts have also been made in the solution of output regulation problems for continuous time systems. Roughly speaking, this problem is one of controlling a linear system subject to input saturation in order to have its output track (or reject) a family of reference (or disturbance) ....

[Article contains additional citation context not shown here]

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear discrete-time systems subject to `input saturation' via linear feedbacks", Systems & Control Letters, vol 24, pp. 125-132, 1995.

....linear systems subject to input saturation due to a wide recognition of the inherent constraints on the control actuator. Although most of the results in this study pertain to the problem of global stabilization (see, for example, 2,14,15,17,16] and semi global stabilization (see, for example, [4,6,7,9,8,13,19,11]) some attempts have also been made in the solution of output regulation problems for continuous time systems. Roughly speaking, this problem is one of controlling a linear system subject to input saturation in order to have its output track (or reject) a family of reference (or disturbance) ....

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear systems subject to `input saturation' via linear feedbacks", Systems & Control Letters, vol. 21, no. 3, pp. 225-239, 1993.

.... functions for the global asymptotic stabilization of such systems was initiated in [16] and completed in [15] In response to this negative result , the semi global view point for stabilization of asymptotically null controllable systems with input saturation was proposed in [7] 9] 10] and [8]. In [7] it was shown that one can semi globally exponentially stabilize a linear asymptotically null controllable system subject to input saturation using linear feedback laws. In other words, the basin of attraction of a linear asymptotically null controllable system subject to input saturation ....

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear discrete-time systems subject to `input saturation' via linear feedbacks", to appear in Systems & Control Letters.

.... multiple saturation functions for the global asymptotic stabilization of such systems was initiated in [16] and completed in [15] In response to this negative result , the semi global view point for stabilization of asymptotically null controllable systems with input saturation was proposed in [7], 9] 10] and [8] In [7] it was shown that one can semi globally exponentially stabilize a linear asymptotically null controllable system subject to input saturation using linear feedback laws. In other words, the basin of attraction of a linear asymptotically null controllable system subject ....

.... for the global asymptotic stabilization of such systems was initiated in [16] and completed in [15] In response to this negative result , the semi global view point for stabilization of asymptotically null controllable systems with input saturation was proposed in [7] 9] 10] and [8] In [7], it was shown that one can semi globally exponentially stabilize a linear asymptotically null controllable system subject to input saturation using linear feedback laws. In other words, the basin of attraction of a linear asymptotically null controllable system subject to input saturation can be ....

[Article contains additional citation context not shown here]

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear systems subject to `input saturation' via linear feedbacks", Systems & Control Letters, vol. 21, no. 3, pp. 225-239, 1993.

....saturation, there does not exist a linear control law that globally asymptotically stabilizes it. Being aware of this negative result, we proposed to consider the semi global stabilization of the asymptotically null controllable with bounded controls linear systems subject to input saturation in [6] and showed that any asymptotically null controllable with bounded controls linear system subject to input saturation can be semi globally stabilized by linear state feedback, and any detectable and asymptotic null controllable with bounded controls linear system subject to input saturation can be ....

....of practical stabilization is in fact a problem formulation capturing the idea of disturbance rejection. The problem of semi global stabilization of the system Sigma 0 can be solved via linear static state feedback laws and or linear dynamic output feedback laws as proposed by us earlier in [6]. The problem posed in this paper is to establish the semi global stabilization of the system Sigma 0 via more efficient linear low and high feedback laws and to establish the semiglobal practical stabilization of the system Sigma by utilizing the proposed efficient low and high design ....

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear systems subject to `input saturation' via linear feedbacks", Systems & Control Letters, vol. 21, no.3, pp. 225-239, 1993.

No context found.

Lin Z. and Saberi A. Semi-global exponential stabilization of linear discrete-time systems subject to input saturation via linear feedbacks. Systems & Control Letters, 24:125--132, 1995. 23

No context found.

Lin Z. and Saberi A. Semi-global exponential stabilization of linear systems subject to input saturation via linear feedbacks. Systems & Control Letters, 21(3):225--239, 1993.

No context found.

Lin Z. and Saberi A. Semi-global exponential stabilization of linear discrete-time systems subject to input saturation via linear feedbacks. Systems & Control Letters, 24:125--132, 1995.

No context found.

Lin Z. and Saberi A. Semi-global exponential stabilization of linear systems subject to input saturation via linear feedbacks. Systems & Control Letters, 21(3):225--239, 1993.

No context found.

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear discrete-time systems subject to input saturation via linear feedbacks", Systems and Control Letters, 24, pp. 125--132, 1995.

No context found.

Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear systems subject to `input saturation ' via linear feedbacks", Systems and Control Letters, 21, pp. 225--239, 1993.

No context found.

Z. Lin, "Semi-global exponential stabilization of linear discrete-time systems subject to input saturation via linear feedbacks.", System & Control Letters, Vol. 24, pp. 125-132, 1995.

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