Delay-dependent guaranteed cost control for uncertain discrete-time Markovian jump linear systems with mode-dependent time-delays  

作　　者：王常虹 姚秀明 

机构地区：[1]Space Control and Inertia Technology Research Center,Harbin Institute of Technology [2]Dept. of Automation,North China Electric Power University

出　　处：《Journal of Harbin Institute of Technology(New Series)》2010年第3期357-362,共6页哈尔滨工业大学学报（英文版）

基　　金：Sponsored by the National Defense Basic Research Foundation of China (Grant No. 9140A17030207HT01)

摘　　要：In this paper,the problem of guaranteed cost control for a class of uncertain discrete-time Markovian jump linear systems with mode-dependent time-delays and a given quadratic cost function are investigated. Attention is focused on designing a memoryless state feedback control law such that the closed-loop system is robust stochastically stable and the closed-loop cost function value is not more than a specified upper bound,for all admissible uncertainties. The key features of the approach include the introduction of a new type of suitable stochastic Lyapunov functional and free weighting matrices techniques. Sufficient conditions for the existence of such controller are obtained in terms of a set of linear matrix inequalities. A numerical example is given to illustrate the less conservatism of the proposed techniques.In this paper, the problem of guaranteed cost control for a class of uncertain discrete-time Markovian jump linear systems with mode-dependent time-delays and a given quadratic cost function are investigated. Attention is focused on designing a memoryless state feedback control law such that the closed-loop system is robust stochastically stable and the closed-loop cost function value is not more than a specified upper bound, for all admissible uncertainties. The key features of the approach include the introduction of a new type of suitable stochastic Lyapunov functional and free weighting matrices techniques. Sufficient conditions for the existence of such controller are obtained in terms of a set of linear matrix inequalities. A numerical example is given to illustrate the less conservatism of the proposed techniques.

关 键 词：guaranteed cost control Markovian jump linear systems TIME-DELAY linear matrix inqualities(LMIs). 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]