Reliable H2 Control for Discrete-Time T-S Fuzzy Bilinear Systems

被引：0
|
作者：
Li Jiangrong [1 ]
Li Junmin [2 ]
Li Yu [1 ]
机构：
[1] Yanan Univ, Coll Math & Comp Sci, Yanan 716000, Peoples R China
[2] Xidian Univ, Sch Sci, Xian 710071, Peoples R China
来源：
2013 32ND CHINESE CONTROL CONFERENCE (CCC) | 2013年
基金：
中国国家自然科学基金;
关键词：
T-s fuzzy system; stochastic bilinear system; H-2; control; reliable control; fuzzy Lyapunov function; H-INFINITY CONTROL; STOCHASTIC-SYSTEMS; STABILITY ANALYSIS; MODEL;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the problem of reliable H-2 control for discrete-time T-S fuzzy bilinear systems with actuator faults. A discrete-time homogeneous Markov chain is used to represent the stochastic behavior of actuator faults. Based on a stochastic fuzzy Lyapunov function, two improved stability conditions are proposed to ensure that the resultant closed-loop system is exponentially stable in the mean-square sense with an H-2 performance index. It is shown the controller can be obtained by solving a set of nonlinear minimization problem involving linear matrix inequalities(LMIs) constraints. An iterative algorithm making use of sequential linear programming matrix method (SLPMM) is proposed to solve the nonlinear minimization problem. Finally, an illustrative example is provided to demonstrate the effectiveness of the results proposed in this paper.
引用
收藏
页码：3487 / 3491
页数：5
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