Piecewise quadratic stability of fuzzy systems

被引：607

作者：

Johansson, M ^{[1
]}

Rantzer, A ^{[1
]}

Årzén, KE ^{[1
]}

机构：

[1] Lund Inst Technol, Dept Automat Control, S-22100 Lund, Sweden

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 1999年 / 7卷 / 06期

关键词：

fuzzy systems; linear matrix inequalities; Lyapunov stability;

D O I：

10.1109/91.811241

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This letter presents a novel approach to stability analysis of fuzzy systems. The analysis is based on Lyapunov functions that are continuous and piecewise quadratic. The approach exploits the gain-scheduling nature of fuzzy systems and results in stability conditions that can be verified via convex optimization over linear matrix inequalities. Examples demonstrate the many improvements over analysis based on a single quadratic Lyapunov function. Special attention is given to the computational aspects of the approach and several methods to improve the compuational efficiency are described.

引用

页码：713 / 722

页数：10

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