Piecewise Lyapunov Function Based Stability Analysis of Fuzzy Parameter Varying Systems

被引：0

作者：

Zhang, Hongyang ^{[1
]}

Ban, Xiaojun ^{[1
]}

Wu, Fen ^{[2
]}

Huang, Xianlin ^{[1
]}

机构：

[1] Harbin Inst Technol, Harbin 150001, Heilongjiang, Peoples R China

[2] North Carolina State Univ, Mech & Aerosp Engn Dept, Raleigh, NC 27695 USA

来源：

PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017) | 2017年

关键词：

Fuzzy Parameter Varying System; T-S Fuzzy System; Stability; Piecewise Lyapunov Function; Linear Matrix Inequality; OUTPUT-FEEDBACK CONTROL; TYPICAL TAKAGI-SUGENO; UNIVERSAL APPROXIMATORS; STABILIZATION;

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：

The fuzzy parameter varying (FPV) system is a novel kind of nonlinear time-varying model with advantages in handing nonlinear time-varying systems than the general T-S fuzzy model. Few researches have been conducted on the stability analysis of FPV systems, except for some results derived based on the quadratic Lyapunov function. In this study, stability analysis of the FPV system is conducted on the basis of a piecewise Lyapunov function and some stability conditions are derived and formulated in terms of Linear matrix inequalities (LMIs), which can be efficiently solved by some numerical algorithms. Numerical simulations demonstrate the effectiveness of our results and also indicate that our conditions are less conservative comparing to the results derived from the quadratic Lyapunov function.

引用

页码：4245 / 4250

页数：6

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