Static anti-windup design for a class of nonlinear systems

被引：46

作者：

Gomes da Silva, J. M., Jr. ^{[1
]}

Oliveira, M. Z. ^{[1
,2
]}

Coutinho, D. ^{[3
]}

Tarbouriech, S. ^{[4
,5
]}

机构：

[1] Univ Fed Rio Grande do Sul, Dept Elect Engn, BR-90035190 Porto Alegre, RS, Brazil

[2] Univ Caxias do Sul UCS, BR-95050560 Caxias Do Sul, RS, Brazil

[3] Univ Fed Santa Catarina, Dept Automat & Syst, BR-88040900 Florianopolis, SC, Brazil

[4] CNRS, LAAS, F-31400 Toulouse, France

[5] Univ Toulouse, LAAS, F-31400 Toulouse, France

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2014年 / 24卷 / 05期

关键词：

LYAPUNOV FUNCTIONS; STABILITY ANALYSIS; SATURATING ACTUATORS; RATIONAL SYSTEMS; CONTROL SCHEMES; LINEAR-SYSTEMS; ATTRACTION; DOMAIN;

D O I：

10.1002/rnc.2917

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 paper focuses on the problem of static anti-windup design for a class of multivariable nonlinear systems subject to actuator saturation. The considered class regards all systems that are rational on the states or that can be conveniently represented by a rational system with algebraic constraints considering some variable changes. More precisely, a method is proposed to compute a static anti-windup gain which ensures regional stability for the closed-loop system assuming that a dynamic output feedback controller is previously designed to stabilize the nonlinear system. The results are based on a differential algebraic representation of rational systems. The control saturation effects are taken into account by the application of a generalized sector bound condition. From these elements, LMI-based conditions are devised to compute an anti-windup gain with the aim of enlarging the closed-loop region of attraction. Several numerical examples are provided to illustrate the application of the proposed method. Copyright © 2012 John Wiley & Sons, Ltd. Copyright © 2012 John Wiley & Sons, Ltd.

引用

页码：793 / 810

页数：18

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