A. Saberi, Z. Lin, and A. R. Teel, "Control of linear systems with saturating actuators," IEEE Trans. Automat. Contr., vol. 41, no. 3, pp. 368--378, 1996.  Home/Search   Document Details and Download   Summary   Related Articles   Check

....criterion for the control of a plant with input nonlinearities. Their method also addresses the absolute stabilization problem. Unfortunately, the obtained conditions are not convex. Non convex process design was also proposed in [25] where the methodology is based on the Popov Criteria. In [28], the process design is proposed in order to obtain control laws ensuring (semiglobal) stability and the rejection of input disturbance. It requires the solution of a parameterized Algebraic Riccati Equation, an infinite dimensional problem which is numerically difficult to handle. A related ....

A. Saberi, Z. Lin, and A.R. Teel. Control of linear systems with saturating actuators. IEEE Trans. Aut. Control, 41(3):368--378, 1996.

....of system (5) remain bounded ) f y 8 96 0 , y 4 t 0 , and ) w 43 0 . In the disturbance free case (i.e. w 0) given a stabilizing state feedback gain K, the resulting nonlinear closed loop system (5) possesses a basin of attraction of the equilibrium point x e 0 [19], 23] When w : 0 it is not possible to strictly define one equilibrium point for the closed loop system with the time varying disturbance w t . At a given instant t with w t w e , however, a corresponding equilibrium point x t x e , x t 0, could be ....

A. Saberi, Z. Lin, and A. R. Teel. Control of linear systems with saturating actuators. IEEE Transactions on Automatic Control, 41(3):368--378, 1996.

.... constraints region and by applying the tech niques suggested in [5] 8] 22] We finally remind that for systems with no state constraints and with no eigenvalues outside the closed unit disk a completely di#erent approach can be used for global stabilization [25] or semi global stabilization [26], 27] In this case those approaches can be successfully applied to the solution of the tracking problem with an arbitrarily large initial condition set. ....

Saberi A., Lin Z., and Teel A.R. Control of linear systems with saturating actuators. IEEE Trans. Automat. Contr., Vol.41, No.3, pp.368--378, 1996.

....exhibits prescribed certain performance. Second, construct a switching manifold, according to which the actuator control v is switched, such that the actual control to the system u tracks the linear feedback control. Before we proceed further, the following assumption is given on the system (1) [2,3] Assumption 1. All the eigenvalues of A are distributed on left hand side complex plane. 2. The pair (A,B) is stabilizable. 3 Let us first design the ideal linear feedback control for the system (1) without actuators . Many approaches such as LQR design and H design can be used for the ....

Saberi, A., and Lin, Z., Control of Linear Systems with Saturating Actuators, IEEE Trans. Automat. Contr., Vol. 41, pp. 368-378, 1996.

....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 ....

....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 this paper is therefore to fill a need for ....

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A. Saberi, Z. Lin and A. R. Teel "Control of Linear Systems with Saturating Actuators ", IEEE Transactions on Automatic Control, Vol. 41, No. 3, pp. 368--378, 1996.

....was shown in [5] that continuous time linear null controllable systems can be semi globally stabilized by linear control laws, i.e. there exists a bounded control law stabilizing the system for any arbitrary large and bounded set of initial conditions. This result was later elaborated on in e.g. [6] and [11] The above mentioned results are all based on the assumption that the open loop system is nullcontrollable, and gives only local results for exponentially unstable systems. Hence, a set of initial conditions is valid for stabilization with bounded control only if it is contained in a ....

....P (fl)BB T P (fl) GammaQ(fl) 17) where Q(fl) is positive definite for all fl 2 (0; 1] and satisfy lim fl 0 Q(fl) 0: 18) The solution of (17) has the important property that it approaches the zero matrix as fl 0 if the system is null controllable. This was first pointed out in [6] and is, for completeness, given in the following lemma. Lemma 2 Consider the system (1) with A 2 M n Thetan n , and let P (fl) be the solution of (17) Then, lim fl 0 P (fl) 0; 19) and P (fl) is positive definite 8fl 2 (0; 1] Proof: By Assumption 1, the system is nullcontrollable and a ....

[Article contains additional citation context not shown here]

A. Saberi, Z. Lin, and A. R. Teel. Control of Linear Systems with Saturating Actuators. IEEE Transaction on Automatic Control, 41(3):368--378, 1996.

....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 ....

....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 this paper is therefore to fill a need for ....

[Article contains additional citation context not shown here]

A. Saberi, Z. Lin and A. R. Teel "Control of Linear Systems with Saturating Actuators ", IEEE Transactions on Automatic Control, Vol. 41, No. 3, pp. 368--378, 1996.

No context found.

A. Saberi, Z. Lin and A.R. Teel, "Control of linear systems with saturating actuators, " to appear in IEEE Transactions on Automatic Control.

....problem of semi global output regulation for linear systems subject to input saturation was first solved in [8] by regulators which are based on low gain feedback. In this paper, we show that new regulators based on the low and high gain design methodology as developed in [6] see also [5] and [9] also solve the same problem. These new regulators, inheriting the attributes of the low and high gain design methodology, fully utilize the available control capacity to achieve better closed loop performance. 1 1. Introduction In the last few years there has been a surge of interest in the ....

....full capacity. To avoid such a situation from happening, in this paper, we construct new feedback laws, which also solve the semi global output regulation problem. These new feedback laws are constructed based on the low and high gain design methodology recently developed in [6] see also [5] and [9] for the solution of semi global stabilization problem. These new feedback laws, inheriting the attributes of the low and high gain design methodology, fully utilize the available control capacity to achieve better performance. Besides the improvement on the closed loop performance, we also ....

[Article contains additional citation context not shown here]

A. Saberi, Z. Lin and A.R. Teel, "Control of linear systems with saturating actuators, " IEEE Transactions on Automatic Control, to appear. (also in Proceedings of the 1995 ACC.)

....problem of semi global output regulation for linear systems subject to input saturation was first solved in [8] by regulators which are based on low gain feedback. In this paper, we show that new regulators based on the low and high gain design methodology as developed in [6] see also [5] and [9] also solve the same problem. These new regulators, inheriting the attributes of the low and high gain design methodology, fully utilize the available control capacity to achieve better closed loop performance. Submitted to Control Theory and Advanced Technology 1 1. Introduction In the last ....

....full capacity. To avoid such a situation from happening, in this paper, we construct new feedback laws, which also solve the semi global output regulation problem. These new feedback laws are constructed based on the low and high gain design methodology recently developed in [6] see also [5] and [9] for the solution of semi global stabilization problem. These new feedback laws, inheriting the attributes of the low and high gain design methodology, fully utilize the available control capacity to achieve better performance. Besides the improvement on the closed loop performance, we also ....

[Article contains additional citation context not shown here]

A. Saberi, Z. Lin and A.R. Teel, "Control of linear systems with saturating actuators, " submitted to IEEE Transactions on Automatic Control, 1994.

.... and Statistics and Computer Science State University of New York at Stony Brook Washington State University Stony Brook, NY 11794 3600 Pullman, WA 99164 2752 November 23, 1994 Abstract The low and high gain design technique, which was initiated in [10] for a chain of integrators and completed in [13] for general linear asymptotically null controllable with bounded controls systems, was conceived for semi global control problems beyond stabilization and was related to the performance issues such as semi global stabilization with enhanced utilization of the available control capacity and ....

....the performance issues such as semi global stabilization with enhanced utilization of the available control capacity and semi global disturbance rejection. Although the low and high gain design technique as initiated in [10] is based on explicit eigenstructure assignment, its full development in [13] is based on the solution of an algebraic Riccati equation (ARE) which is parameterized in an arbitrarily small scalar, called low gain parameter. In this paper, we develop a new complete lowand high gain design procedure which is based on explicit eigenstructure assignment. The new design ....

[Article contains additional citation context not shown here]

A. Saberi, Z. Lin and A.T. Teel, "Control of linear systems with saturating actuators, " submitted to IEEE Transactions on Automatic Control, 1994.

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A. Saberi, Z. Lin, and A. R. Teel, "Control of linear systems with saturating actuators," IEEE Trans. Automat. Contr., vol. 41, no. 3, pp. 368--378, 1996.

No context found.

A. Saberi, Z. Lin and A. R. Teel (1999). "Control of Linear Systems with Saturating Actuators," IEEE Trans. Auto. Contr., vol. 41, no. 3, pp. 368-378.

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A. Saberi, Z. Lin, and A. R. Teel, "Control of linear systems with saturating actuators," IEEE Trans. Automat. Contr., vol. 41, no. 3, pp. 368--378, 1996.

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A. Saberi, Z. Lin and A. R. Teel, "Control of linear systems with saturating actuators", IEEE Trans. Automat. Contr. AC-41, pp. 368-378, 1996.

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A. Saberi, Z. Lin and A.R. Teel, \Control of linear systems with saturating actuators," #### ###### ######## ###### Vol. 41, pp. 368-378, 1996.

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Saberi, A., Lin, Z., and Teel, A.R., "Control of Linear Systems with Saturating Actuators," IEEE Transactions on Automatic Control, Vol. 41, No. 3, 1996, pp. 368-378.

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