Finite gain stabilization of discrete-time linear systems subject to actuator saturation

It is shown that, for neutrally stable discrete-time linear systems subject to actuator saturation, finite gain l"p stabilization can be achieved by linear output feedback, for all p@?(1,~]. An explicit construction of the corresponding feedback laws is given. The feedback laws constructed also result in a closed-loop system that is globally asymptotically stable, and in an input-to-state estimate.

[1]  Ali Saberi,et al.  On simultaneous global external and global internal stabilization of critically unstable linear systems with saturating actuators , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[2]  Faryar Jabbari,et al.  Output feedback controllers for disturbance attenuation with bounded control , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[3]  Eduardo Sontag Comments on integral variants of ISS , 1998 .

[4]  Eduardo D. Sontag,et al.  Remarks on finite gain stabilizability of linear systems subject to input saturation , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[5]  Z. Lin,et al.  On l/sub p/-stabilization of strictly unstable discrete-time linear systems with saturating actuators , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[6]  Jinhoon Choi,et al.  On the stabilization of linear discrete time systems subject to input saturation 1 1 This research w , 1999 .

[7]  Eduardo Sontag,et al.  On Finite-Gain Stabilizability of Linear Systems Subject to Input Saturation , 1996 .

[8]  Ping Hou,et al.  On lp-stabilization of strictly unstable discrete-time linear systems with saturating actuators , 1998 .

[9]  Mario Sznaier,et al.  L2-disturbance attenuation for linear systems with bounded controls: An ARE-based approach , 1997 .

[10]  J. Aplevich,et al.  Lecture Notes in Control and Information Sciences , 1979 .

[11]  Andrew R. Teel,et al.  Simultaneous L p -stabilization and internal stabilization of linear systems subject to input saturation—state feedback case , 1995 .

[12]  Eduardo Sontag,et al.  Global stabilization of linear discrete-time systems with bounded feedback , 1997 .

[13]  Sophie Tarbouriech,et al.  Control of Uncertain Systems with Bounded Inputs , 1997 .

[14]  Zongli Lin H∞-almost disturbance decoupling with internal stability for linear systems subject to input saturation , 1997, IEEE Trans. Autom. Control..

[15]  Ping Hou,et al.  Simultaneous External and Internal Stabilization for Continuous and Discrete-Time Critically Unstable Linear Systems with Saturating Actuators , 1998, Autom..

[16]  Eduardo D. Sontag,et al.  On the continuity and incremental-gain properties of certain saturated linear feedback loops , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.