Stability analysis and control of a class of differential-algebraic nonlinear systems

被引：46
|
作者：
Coutinho, DF
Bazanella, AS
Trofino, A
Silva, ASE
机构：
[1] Pontificia Univ Catolica Rio Grande do Sul, Dept Elect Engn, BR-90619900 Porto Alegre, RS, Brazil
[2] Univ Fed Rio Grande do Sul, Dept Elect Engn, BR-90035190 Porto Alegre, RS, Brazil
[3] Univ Fed Santa Catarina, Dept Automat & Syst, BR-88040900 Florianopolis, SC, Brazil
[4] Univ Fed Santa Catarina, Dept Elect Engn, BR-88040900 Florianopolis, SC, Brazil
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2004年 / 14卷 / 16期
关键词：
differential-algebraic systems; domain of attraction; nonlinear damping control; convex optimization;
D O I：
10.1002/rnc.950
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A new methodology based on the linear matrix inequality (LMI) framework is presented for the computation of polynomial Lyapunov functions for differential-algebraic nonlinear systems. The method is applied for estimating the domain of attraction of equilibria and also as a control design tool to increase the damping of the system. Numerical examples are used to demonstrate the approach. The results show the potential of the proposed approach as a tool for analysis and control design. Copyright (C) 2004 John Wiley Sons, Ltd.
引用
收藏
页码：1301 / 1326
页数：26
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