Exponential stability analysis and L2-gain control synthesis for positive switched T-S fuzzy systems

被引：34
|
作者：
Li, Shuo [1 ]
Xiang, Zhengrong [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2018年 / 27卷
基金：
中国国家自然科学基金;
关键词：
Positive switched systems; T-S fuzzy modeling; Weighted L-2-gain performance; Stabilization; Piecewise quadratic copositive Lyapunov function; LINEAR-SYSTEMS; LYAPUNOV FUNCTIONS; CONGESTION CONTROL; STABILIZATION; DESIGN; MODEL;
D O I：
10.1016/j.nahs.2017.08.006
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the problems of exponential stability analysis and weighted L-2-gain control synthesis for positive switched T-S fuzzy systems are addressed. Firstly, by proposing a piecewise quadratic copositive Lyapunov function, a less conservative stability condition for positive switched T-S fuzzy systems is derived for the first time. Then, sufficient conditions for the positive switched T-S fuzzy system to be exponentially stable with a weighted L-2-gain performance are obtained. Based on the obtained results, a state-feedback controller by the parallel distributed compensation scheme is designed to stabilize the positive switched T-S fuzzy system, while guaranteeing the prescribed weighted L-2-gain performance and positivity in closed-loop. Finally, two numerical examples are presented to demonstrate the effectiveness of the obtained theoretical results. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：77 / 91
页数：15
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