Stochastic fault tolerant control of networked control systems

Abstract A problem of stabilization about uncertain networked control systems (NCSs) with random but bounded delays is discussed in this paper. By using augmented state-space method, this class of problems can be modeled as discrete-time jump linear systems governed by finite-state Markov chains. A new switched model based on probability is proposed to research problems of reliable control when actuators become ageing or partially disabled. Using improved V–K iteration algorithm, a class of reliable controllers are designed to make systems asymptotically mean square stable under several stochastic disturbances such as random time-delay and stochastic actuator failure and the maximal redundancy degree is given through this method.

[1]  K. Loparo,et al.  Stochastic stability properties of jump linear systems , 1992 .

[2]  Biao Huang,et al.  A new method for stabilization of networked control systems with random delays , 2005, Proceedings of the 2005, American Control Conference, 2005..

[3]  Linda Bushnell,et al.  Stability analysis of networked control systems , 2002, IEEE Trans. Control. Syst. Technol..

[4]  Björn Wittenmark,et al.  Stochastic Analysis and Control of Real-time Systems with Random Time Delays , 1999 .

[5]  Zidong Wang,et al.  Stochastic reliable control of a class of uncertain time-delay systems with unknown nonlinearities , 2001 .

[6]  Linda Bushnell,et al.  Networks and control [Guest Editorial] , 2001 .

[7]  Shengyuan Xu,et al.  Robust H∞ filtering for uncertain Markovian jump systems with mode-dependent time delays , 2003, IEEE Trans. Autom. Control..

[8]  Hu Shousong,et al.  Brief Stochastic optimal control and analysis of stability of networked control systems with long delay , 2003 .

[9]  Koichi Suyama Systematization of reliable control , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[10]  Jin-Hoon Kim,et al.  Delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty , 2001, IEEE Trans. Autom. Control..

[11]  Shengyuan Xu,et al.  Robust H∞ control for uncertain stochastic systems with state delay , 2002, IEEE Trans. Autom. Control..

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

[13]  Shengyuan Xu,et al.  Robust H∞ control for uncertain discrete stochastic time-delay systems , 2004, Syst. Control. Lett..

[14]  Yan Shi,et al.  Resilient observer-based control of uncertain time-delay systems , 2007 .

[15]  M. Fragoso,et al.  Stability Results for Discrete-Time Linear Systems with Markovian Jumping Parameters , 1993 .

[16]  E. Sánchez,et al.  OPTIMAL LINEAR FILTERING FOR SYSTEMS WITH MULTIPLE STATE AND OBSERVATION DELAYS , 2007 .

[17]  A. Hassibi,et al.  Control with random communication delays via a discrete-time jump system approach , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[18]  Guanghong Yang,et al.  Reliable control using redundant controllers , 1998, IEEE Trans. Autom. Control..

[19]  Yuguang Fang,et al.  Stochastic stability of jump linear systems , 2002, IEEE Trans. Autom. Control..

[20]  Jing Bai,et al.  Reliable Control for Uncertain Switched Systems with Time Delay , 2006, 2006 6th World Congress on Intelligent Control and Automation.

[21]  Y. Cao,et al.  Delay-dependent robust stabilization of uncertain systems with multiple state delays , 1998, IEEE Trans. Autom. Control..

[22]  Linda Bushnell,et al.  Asymptotic behavior of nonlinear networked control systems , 2001, IEEE Trans. Autom. Control..