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 ....

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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.

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.

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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