Stability Analysis of Lur'e-Type Switched Systems

被引：15
作者：
Geromel, Jose C. [1 ]
Deaecto, Grace S. [2 ]
机构：
[1] Univ Estadual Campinas, Sch Elect & Comp Engn, BR-13083970 Campinas, SP, Brazil
[2] Univ Estadual Campinas, Sch Mech Engn, BR-13083970 Campinas, SP, Brazil
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2014年 / 59卷 / 11期
基金：
巴西圣保罗研究基金会;
关键词：
Popov criterion; switched systems; H-INFINITY CONTROL; LINEAR-SYSTEMS; STABILIZATION; STABILIZABILITY;
D O I：
10.1109/TAC.2014.2317631
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This technical note aims to introduce stability analysis of Lur'e-type switched systems in frequency domain. A new state-input dependent switching function is proposed and it is the key issue to obtain a stability condition that generalizes the celebrated Popov criterion to deal with this class of switched nonlinear systems. Likewise the case of time invariant systems, we propose a frequency domain stability test that is expressed through a convex combination of the subsystems state space matrices. This task is not trivial due to the time-varying nature of the nonlinear systems under consideration. The theory is illustrated by a simple example.
引用
收藏
页码：3046 / 3050
页数：5
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