Guaranteed Cost Control for Several Delays Stochastic Systems with Uncertain Nonlinear Perturbations
This paper deals with the problem of guaranteed cost control for a class of uncertain nonlinear stochastic time-delay systems. In this paper, the parametric uncertainties are assumed to be norm bounded. The aim of the paper is to design a state feedback control law such that the closed-loop system is asymptotically stable in the mean square and the cost function value is not more than a specified upper bound. In terms of Lyapunov stability theory and LIM methods, a sufficient condition for the systems is derived, and the state feedback control law is designed. Finally, a numerical example is given to illustrate the effectiveness of the technique.
Stochastic systems Time-delay Guaranteed cost control Linear matrix inequalities Uncertain nonlinear perturbations
GUO Shaocong ZHAO Long SU Lianqing LI Yi XING Zirui QIU Jiqing
Hebei University of Science and Technology, Shijiazhuang, 050018, China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
1569-1573
2012-07-01(万方平台首次上网日期,不代表论文的发表时间)