Homogeneous Polynomially Nonquadratic Stabilization of Discrete-Time Takagi-Sugeno Systems via Nonparallel Distributed Compensation Law

被引：127

作者：

Ding, Baocang ^{[1
]}

机构：

[1] Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2010年 / 18卷 / 05期

关键词：

Fuzzy control; homogeneous polynomial; nonquadratic Lyapunov function; Polya's theorem; stability; FUZZY CONTROL-SYSTEMS; PIECEWISE LYAPUNOV FUNCTIONS; PARAMETER-DEPENDENT LMIS; NONLINEAR-SYSTEMS; QUADRATIC STABILITY; MATRIX INEQUALITIES; FORM; RELAXATIONS; OBSERVERS; EXISTENCE;

D O I：

10.1109/TFUZZ.2010.2053210

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper considers stability of discrete-time nonlinear systems in Takagi-Sugeno (T-S) form. This problem has been studied for more than 20 years with many sufficient conditions, and the asymptotically necessary and sufficient (ANS) conditions with respect to the common-quadratic Lyapunov, function, having being obtained. This paper considers general forms of homogeneous polynomially nonquadratic Lyapunov (HPNQL) function and homogeneous polynomially parameterized nonparallel distributed compensation (HPP-non-PDC) law. By generalization of the procedure based on Polya's theorem and techniques used for parameter-dependent linear matrix inequality (PD-LMI) which have been studied previously in different contexts, ANS stability conditions with respect to the general HPNQL function are obtained.

引用

页码：994 / 1000

页数：7

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