Semi-global stabilization of linear systems with position and rate-limited actuators

Abstract It is shown that, if a linear system is asymptotically null-controllable with bounded controls, then, when subject to both actuator position and rate saturation, it is semi-globally stabilizable by linear state feedback. If, in addition, the system is also detectable, then it is semi-global stabilizable via linear output feedback.

[1]  Zongli Lin Semi-global stabilization of linear systems with position and rate limited actuators , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[2]  Eduardo Sontag,et al.  A general result on the stabilization of linear systems using bounded controls , 1994, IEEE Trans. Autom. Control..

[3]  H. Sussmann,et al.  On the stabilizability of multiple integrators by means of bounded feedback controls , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[4]  A. Teel Global stabilization and restricted tracking for multiple integrators with bounded controls , 1992 .

[5]  Eduardo Sontag An algebraic approach to bounded controllability of linear systems , 1984 .

[6]  A. Fuller In-the-large stability of relay and saturating control systems with linear controllers , 1969 .

[7]  H. Khalil,et al.  Output feedback stabilization of fully linearizable systems , 1992 .

[8]  Andrew R. Teel,et al.  Control of linear systems with saturating actuators , 1996 .

[9]  Ali Saberi,et al.  Output regulation for linear systems subject to input saturation , 1996, Autom..

[10]  Eduardo Sontag,et al.  Nonlinear output feedback design for linear systems with saturating controls , 1990, 29th IEEE Conference on Decision and Control.

[11]  Zongli Lin,et al.  Semi-global Exponential Stabilization of Linear Systems Subject to \input Saturation" via Linear Feedbacks , 1993 .

[12]  Jordan M. Berg,et al.  An analysis of the destabilizing effect of daisy chained rate-limited actuators , 1996, IEEE Trans. Control. Syst. Technol..