T-S Fuzzy Stochastic Bilinear Model and Fuzzy Controller Design Based on Switching Piecewise Lyapunov Functions

被引：0

作者：

Li Jiangrong ^{[1
]}

Li Junmin ^{[1
]}

Xia Zhile ^{[1
]}

机构：

[1] Xidian Univ, Sch Sci, Xian 710071, Peoples R China

来源：

2011 30TH CHINESE CONTROL CONFERENCE (CCC) | 2011年

关键词：

T-S fuzzy system; Stochastic bilinear system; Piecewise Lyapunov function; Bilinear matrix inequality; STABILITY ANALYSIS; SYSTEMS; DELAYS;

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：

Based on a piecewise quadratic Lyapunov function (PQLF), this paper presents stochastic stability analysis and synthesis methods for the discrete time T-S fuzzy bilinear stochastic systems. Two improved stochastic stability conditions have been established. It is shown that the stability in the mean square for T-S fuzzy bilinear stochastic systems can be established if a PQLF can be constructed. Considering the established stability criterion, the controller can be designed, and the closed loop system is asymptotically stable in the mean square sense. An illustrative example is provided to demonstrate the effectiveness of the results proposed in this paper.

引用

页码：2825 / 2829

页数：5