Reliable passivity and passification for singular Markovian systems

This paper investigates the problems of reliable passivity and passification for a singular Markovian system with actuator failure. Using the Lyapunov approach, two sufficient conditions are given in terms of linear matrix inequalities (LMIs) such that a singular Markovian system is stochastically admissible and passive. Moreover, the existence of the established state-feedback controller is given in terms of strict LMIs. Finally, a numerical example is used to demonstrate the effectiveness of the given theoretical results.

[1]  Zheng-Guang Wu,et al.  Improved Results on Delay-dependent H∞ Control for Singular Time-delay Systems , 2009 .

[2]  Huijun Gao,et al.  Passivity and Passification for Networked Control Systems , 2007, SIAM J. Control. Optim..

[3]  Qixun Lan,et al.  Robust reliable guaranteed cost control for uncertain singular systems with time-delay , 2010 .

[4]  T. Kailath,et al.  A generalized state-space for singular systems , 1981 .

[5]  E. Fridman,et al.  H∞-control of linear state-delay descriptor systems: an LMI approach , 2002 .

[6]  Qingwei Chen,et al.  ROBUST H ∞ RELIABLE CONTROL FOR A CLASS OF SWITCHED NONLINEAR SYSTEMS WITH TIME DELAY , 2010 .

[7]  Wei Xing Zheng,et al.  Passivity-based sliding mode control of uncertain singular time-delay systems , 2009, Autom..

[8]  L. Xie,et al.  Robust H^∞ Control for Linear Systems with Norm-Bounded Time-Varying Uncertainty , 1990 .

[9]  Yuanqing Xia,et al.  Stability and stabilization of continuous-time singular hybrid systems , 2009, Autom..

[10]  H. Su,et al.  H∞ filtering for singular Markovian jump systems with time delay , 2010 .

[11]  Jun Zhao,et al.  Passivity and stability of switched systems: A multiple storage function method , 2008, Syst. Control. Lett..

[12]  H. Su,et al.  Robust stabilization for uncertain discrete singular systems with state delay , 2008 .

[13]  Shuwen Pan,et al.  LMI approach to reliable guaranteed cost control with multiple criteria constraints: The actuator faults case , 2009 .

[14]  Huijun Gao,et al.  I filtering for 2D Markovian jump systems , 2008, Autom..

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

[16]  J. Lam,et al.  Reliable H control of uncertain descriptor systems with multiple time delays , 2003 .

[17]  Zheng-Guang Wu,et al.  Reliable $H_\infty$ Control for Discrete-Time Fuzzy Systems With Infinite-Distributed Delay , 2009, IEEE Transactions on Fuzzy Systems.

[18]  Rogelio Lozano,et al.  On the passivity of linear delay systems , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[19]  Zidong Wang,et al.  H∞ Reliable Control of Uncertain Linear State Delayed Systems , 2004 .

[20]  Robert Sheldon.  Control of Singular Systems with Random Abrupt Changes , 2000 .

[21]  James Lam,et al.  On robust stabilization of Markovian jump systems with uncertain switching probabilities , 2005, Autom..

[22]  Bernhard Maschke,et al.  Dissipative Systems Analysis and Control , 2000 .

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

[24]  Guanghong Yang,et al.  Adaptive reliable H/sub /spl infin// control for linear time-delay systems via memory state feedback , 2007 .

[25]  Qin Li,et al.  Robust Passive Control for Uncertain Time-Delay Singular Systems , 2009, IEEE Transactions on Circuits and Systems I: Regular Papers.

[26]  H. Su,et al.  H∞ filtering for singular systems with time‐varying delay , 2010 .

[27]  Wei Xing Zheng,et al.  Robust passivity analysis of delayed singular systems subject to parametric uncertainties , 2009, 2009 IEEE International Symposium on Circuits and Systems.

[28]  Shengyuan Xu,et al.  Robust Control and Filtering of Singular Systems , 2006 .

[29]  C. Desoer,et al.  Feedback Systems: Input-Output Properties , 1975 .