Delay-Range-Dependent H∞ Control for Stochastic Systems with Time Delay
This paper deals with the problem of robust H∞ control for a class of uncertain stochastic systems with time varying delay.By applying an appropriate Lpapunov Krasovskii functional and combining an improved linearization approach of the nonlinear matrix inequality with the free-weighting matrix method,some new delaydependent and delay-range-dependent stabilization criteria for the stochastic systems are derived in terms of linear matrix inequalities(LMIS).When these LMIS are feasible,an explicit expression of a desired H∞ controller is given. Designed state feedback controller,based on the obtained criteria, ensure asymptotically stable in the mean square sense and a prescribed H∞ performance level of the resulting closed-loop system for all admissible uncertainties.
stochastic systems time delay H∞ control robust linear matrix inequalities
Yizhong Wang
Department of Basic Courses,Shandong University of Science and Technology Taian 271021, China
国际会议
长沙
英文
766-769
2009-10-10(万方平台首次上网日期,不代表论文的发表时间)