Output feedback control for uncertain linear systems with faulty actuators based on a switching method

This paper investigates the problem of output feedback stabilization for a class of uncertain linear systems with faulty actuators via the synergy with a switching strategy. When actuators suffer a ‘destabilizing failure’ and the never-faulty actuators cannot stabilize the given system, the closed-loop exponential stability can still be achieved via the average dwell-time scheme employing an arbitrary switching signal. The prerequisite condition found requires the ratio between the two lapse times, when the system is devoid of faulty actuators and when it is not so, to be less than a certain specified constant. Then the stabilizing output feedback controls are designed via the technique of linear matrix inequalities. The illustrative example and the respective simulation results demonstrate the feasibility and effectiveness of the proposed design synthesis. Copyright © 2008 John Wiley & Sons, Ltd.

[1]  Shengyuan Xu,et al.  H∞H∞ output feedback control for uncertain stochastic systems with time-varying delays☆ , 2004 .

[2]  Bo Hu,et al.  Disturbance attenuation properties of time-controlled switched systems , 2001, J. Frankl. Inst..

[3]  Yuanqing Xia,et al.  Design and Stability Criteria of Networked Predictive Control Systems With Random Network Delay in the Feedback Channel , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[4]  Dong Yue,et al.  STATE FEEDBACK CONTROLLER DESIGN OF NETWORKED CONTROL SYSTEMS WITH PARAMETER UNCERTAINTY AND STATE‐DELAY , 2006 .

[5]  Heinz Unbehauen,et al.  Robust reliable control for a class of uncertain nonlinear state-delayed systems , 1999, Autom..

[6]  Marcel Staroswiecki,et al.  Fault Accommodation for Nonlinear Dynamic Systems , 2006, IEEE Transactions on Automatic Control.

[7]  Jianliang Wang,et al.  Reliable Hinfinity controller design for linear systems , 2001, Autom..

[8]  Yan Shi,et al.  Robust output Feedback Control for discrete Time-delay uncertain Systems , 2006, Control. Intell. Syst..

[9]  J. Jiang,et al.  Reliable State Feedback Control System Design Against Actuator Failures , 1998, Autom..

[10]  Byung Kook Kim,et al.  Robust and reliable H∞ control for linear systems with parameter uncertainty and actuator failure , 1996, Autom..

[11]  Lihua Xie,et al.  Robust Kalman filtering for uncertain systems , 1994 .

[12]  Huijun Gao,et al.  New Results on Stability of Discrete-Time Systems With Time-Varying State Delay , 2007, IEEE Transactions on Automatic Control.

[13]  Wei Zhang,et al.  Stability of networked control systems , 2001 .

[14]  Ximing Sun,et al.  Exponential stability for switched delay systems based on average dwell time technique and Lyapunov function method , 2006, 2006 American Control Conference.

[15]  Lei Zhang,et al.  Communication and control co-design for networked control systems , 2006, Autom..

[16]  Robert J. Veillette,et al.  Reliable linear-quadratic state-feedback control , 1995, Autom..

[17]  Jun Zhao,et al.  Stability and L2-gain analysis for switched delay systems: A delay-dependent method , 2006, Autom..

[18]  Yuanqing Xia,et al.  Networked Predictive Control of Systems With Random Network Delays in Both Forward and Feedback Channels , 2007, IEEE Transactions on Industrial Electronics.

[19]  Shengyuan Xu,et al.  Hinfinity output feedback control for uncertain stochastic systems with time-varying delays , 2004, Autom..