Output feedback control for discrete-time systems with faulty actuators based on average dwell-time method

The problem of output feedback stabilization for uncertain discrete-time systems with actuator failures is studied. A class of switching laws are designed by using the average dwell-time scheme, under the condition that activation time ratio between the stable subsystem and the unstable subsystem is not less than a specified constant. Then, the exponentially stable condition of the system is obtained in terms of linear matrix inequalities (LMIs) and the dynamic output feedback is developed. Finally, a simulation example is given to illustrate the effectiveness of the proposed result in this paper.

[1]  Guisheng Zhai,et al.  Controller failure time analysis for symmetric control systems , 2004 .

[2]  Hai Lin,et al.  Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results , 2009, IEEE Transactions on Automatic Control.

[3]  Jing Yuan-wei.  Robust and Reliable Adaptive Control of a Class of Uncertain Switched Fuzzy Systems , 2008 .

[4]  Jun Zhao,et al.  Guaranteed Cost Control for a Class of Uncertain Delay Systems with Actuator Failures Based on Switching Method , 2007 .

[5]  Qingwei Chen,et al.  Robust reliable control of switched uncertain systems with time-varying delay , 2006, Int. J. Syst. Sci..

[6]  A. Morse,et al.  Stability of switched systems with average dwell-time , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[7]  Georgi M. Dimirovski,et al.  Switching based robust exponential stabilization of linear delay systems with faulty actuators , 2007 .

[8]  Zhengrong Xiang,et al.  Robust L∞ reliable control for uncertain nonlinear switched systems with time delay , 2009, Appl. Math. Comput..

[9]  Michael A. Demetriou,et al.  Adaptive reorganization of switched systems with faulty actuators , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[10]  Jun Zhao,et al.  Output feedback control for uncertain linear systems with faulty actuators: an average dwell-time method , 2006, 2006 American Control Conference.

[11]  Wei Wang,et al.  State feedback control for discrete delay systems with controller failures based on average dwell-time method , 2008 .