Robust guaranteed cost control for Markovian jump systems with time delay
This paper studies the problem of robust guaranteed cost control for the Markovian jump systems with time delay. The problem is to design a state feedback controller such that the closed-loop system is robustly stochastically stable and the closed-loop stochastic guaranteed cost function is not more than a specified upper bound for all admissible uncertainty and time delay. A criterion for the existence of such controller is derived based on the Lyapunov function combined with linear matrix inequalities (LMI). A parameterized characterization of the robust guaranteed cost controller is given in terms of the feasible solutions to the certain linear matrix inequalities. An example is presented to show that the result is efficient.
Jump linear system Time delays Robustly stochastic stability LMI
Yuesheng Luo Mingye Zhou Xingyan Zhang Xu Qi Xiuping Wen Ruijuan Chen
National Defence Key Laboratory of Autonomous Underwater Vehicle Technology,Harbin Engineering University,Harbin 150001,China College of Science,Harbin Engineering University,Harbin 150001,China
国际会议
2010 IEEE信息与自动化国际会议(ICIA 2010)
哈尔滨
英文
1-6
2010-06-20(万方平台首次上网日期,不代表论文的发表时间)