Reliable stabilization of stochastic time-delay systems with nonlinear disturbances - Details

author：

Wang, Zidong (Wang, Zidong.) ^[1] | Shu, Huisheng (Shu, Huisheng.) ^[2] | Liu, Xiaohui (Liu, Xiaohui.) ^[3]

Indexed by：

EI Scopus

Abstract：

This　paper　is　concerned　with　the　stabilization　problem　for　a　class　of　continuous　stochastic　time-delay　systems　with　nonlinear　disturbances,　parameter　uncertainties　and　possible　actuator　failures.　Both　the　stability　analysis　and　synthesis　problems　are　considered.　The　purpose　of　the　stability　analysis　problem　is　to　derive　easy-to-test　conditions　for　the　uncertain　nonlinear　time-delay　systems　to　be　stochastically,　exponentially　stable.　The　synthesis　problem,　on　the　other　hand,　aims　to　design　state　feedback　controllers　such　that　the　closed-loop　system　is　exponentially　stable　in　the　mean　square　for　all　admissible　uncertainties,　nonlinearities,　time-delays　and　possible　actuator　failures.　It　is　shown　that　the　addressed　problem　can　be　solved　in　terms　of　the　positive　definite　solutions　to　certain　algebraic　matrix　inequalities.　Numerical　examples　are　provided　to　demonstrate　the　effectiveness　of　the　proposed　design　method.　©　2005　Taylor　&　Francis.

Keyword：

Actuators Closed loop control systems Delay circuits Feedback control Lyapunov methods Matrix algebra Nonlinear systems Parameter estimation Problem solving Stochastic control systems Uncertain systems

Community：

[ 1 ] [Wang, Zidong]School of Information Sciences and Technology, Donghua University, Shanghai 200051, China
[ 2 ] [Wang, Zidong]Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex, UB8 3PH, United Kingdom
[ 3 ] [Wang, Zidong]Department of Information Systems and Computing, Brunel University, United Kingdom
[ 4 ] [Wang, Zidong]Fuzhou University, Fuzhou, China
[ 5 ] [Wang, Zidong]IEEE
[ 6 ] [Shu, Huisheng]School of Sciences, Donghua University, Shanghai 200051, China
[ 7 ] [Shu, Huisheng]Donghua University
[ 8 ] [Liu, Xiaohui]Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex, UB8 3PH, United Kingdom
[ 9 ] [Liu, Xiaohui]Department of Information Systems and Computing, Brunel University, Uxbridge, United Kingdom
[ 10 ] [Liu, Xiaohui]Department of Computing
[ 11 ] [Liu, Xiaohui]Intelligent Data Analysis Group