Robust stability of uncertain piecewise-linear systems: LMI approach

被引：13
|
作者：
BenAbdallah, Abdallah [2 ]
Hammami, Mohamed Ali [1 ]
Kallel, Jalel [3 ]
机构：
[1] Fac Sci Sfax, Dept Math, Sfax 3000, Tunisia
[2] Inst Super Informat & Multimedia Sfax, Dept Math, Sfax, Tunisia
[3] Inst Preparatoire Etud Ingenieurs Sfax, Dept Math, Sfax, Tunisia
来源：
NONLINEAR DYNAMICS | 2011年 / 63卷 / 1-2期
关键词：
Robust stability; Piecewise uncertain linear systems; Lyapunov function; Linear matrix inequalities; LYAPUNOV FUNCTIONS; STABILIZATION;
D O I：
10.1007/s11071-010-9795-2
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper we propose sufficient conditions for the robust stability of time-invariant uncertain piecewise-linear systems using homogeneous polynomial Lyapunov functions. The proposed conditions are expressed in terms of linear matrix inequalities, which can be numerically determined. We solve the stabilization of piecewise uncertain linear control systems by using state piecewise-linear feedback. We propose an illustrative example to show the efficiency of the proposed approach.
引用
收藏
页码：183 / 192
页数：10
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