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

被引：47

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

页码：1301 / 1326

页数：26

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