Guaranteed cost control for discrete-time uncertain systems with saturating actuators

This paper considers the robust guaranteed cost control problem for uncertain linear discrete-time systems subject to actuator saturation. By using the linear matrix inequality (LMI) approach, we obtain sufficient conditions for the existence of a state feedback control law, and the problem of designing the optimal guaranteed cost controller is converted to a convex optimization problem with LMI constraints. Numerical examples are given to illustrate the effectiveness of the proposed results.

[1]  D. Bernstein,et al.  A chronological bibliography on saturating actuators , 1995 .

[2]  Tingshu Hu,et al.  Control Systems with Actuator Saturation: Analysis and Design , 2001 .

[3]  P. Khargonekar,et al.  Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory , 1990 .

[4]  Ian R. Petersen,et al.  Optimal guaranteed cost control of discrete‐time uncertain linear systems , 1998 .

[5]  Lihua Xie,et al.  Control of uncertain discrete-time systems with guaranteed cost , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[6]  D. McFarlane,et al.  Optimal guaranteed cost control and filtering for uncertain linear systems , 1994, IEEE Trans. Autom. Control..

[7]  Li Yu,et al.  An LMI approach to guaranteed cost control of linear uncertain time-delay systems , 1999, Autom..

[8]  Yu Li Optimal Guaranteed Cost Control of Linear Uncertain System: an LMI Approach , 2000 .

[9]  Tingshu Hu,et al.  Analysis and design for discrete-time linear systems subject to actuator saturation , 2002, Syst. Control. Lett..

[10]  T. K. C. Peng,et al.  Adaptive Guaranteed Cost of Control of Systems with Uncertain Parameters , 1970 .

[11]  E. Yaz Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[12]  Tingshu Hu,et al.  An analysis and design method for linear systems subject to actuator saturation and disturbance , 2002, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[13]  B. Barmish Stabilization of uncertain systems via linear control , 1983 .

[14]  Xu Jian-ming Optimal guaranteed cost control for uncertain discrete-timelinear systems with input constraints , 2004 .

[15]  Zongli Lin,et al.  Global practical stabilization of planar linear systems in the presence of actuator saturation and input additive disturbance , 2006, IEEE Transactions on Automatic Control.

[16]  Li Yu,et al.  Optimal guaranteed cost control of linear uncertain systems: LMI approach , 1999 .

[17]  Tingshu Hu,et al.  Control Systems with Actuator Saturation: Analysis and Design , 2001 .

[18]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .