Title :
Delay-dependent control of nonlinear stochastic delayed systems
Author :
Yun, Chen ; Anke, Xue ; Xiaodong, Zhao ; Junhong, Wang
Author_Institution :
Inst. of Inf. & Control, Hangzhou Dianzi Univ., Hangzhou
Abstract :
This paper considers the problem of delay-dependent control for a class of Ito stochastic time-delay systems with nonlinear perturbations. A stochastic integral inequality, which reduces to a deterministic one if there is no stochastic perturbation, is developed. Based on this integral inequality, a delay-dependent sufficient condition for the existence of the desired controller is presented in terms of an LMI (linear matrix inequality). For all admissible nonlinear perturbations, the designed controller guarantees that the closed-loop is asymptotically mean-square stable. An illustrative example is provided to show the effectiveness of the proposed method.
Keywords :
asymptotic stability; closed loop systems; delays; linear matrix inequalities; nonlinear control systems; perturbation techniques; stochastic systems; LMI; asymptotic mean-square stability; closed-loop; delay-dependent control; linear matrix inequality; nonlinear perturbations; nonlinear stochastic delayed systems; stochastic integral inequality; Asymptotic stability; Control systems; Delay systems; Integral equations; Linear matrix inequalities; Nonlinear control systems; Stochastic processes; Stochastic systems; Sufficient conditions; Asymptotic meansquare stability; Delay-dependent; Integral inequality; Nonlinear perturbations; Stochastic delayed systems;
Conference_Titel :
Control Conference, 2008. CCC 2008. 27th Chinese
Conference_Location :
Kunming
Print_ISBN :
978-7-900719-70-6
Electronic_ISBN :
978-7-900719-70-6
DOI :
10.1109/CHICC.2008.4605628