Anti-windup Design for a Class of Multivariable Nonlinear Control Systems: an LMI-based Approach

被引：0

作者：

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

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

Coutinho, D. ^{[3
]}

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

机构：

[1] Univ Fed Rio Grande do Sul, Dept Elect Engn, Av Osvaldo Aranha 103, BR-90035190 Porto Alegre, RS, Brazil

[2] UCS, BR-95050560 Caxias Sul Rs, Brazil

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

[4] CNRS, LAAS, F-31077 Toulouse, France

[5] Univ Toulouse, UPS INSA INP ISAE, F-31077 Toulouse, France

来源：

2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC) | 2011年

关键词：

LINEAR-SYSTEMS; STABILITY; SCHEME; ATTRACTION;

D O I：

暂无

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. More precisely, a convex approach is proposed to compute a static anti-windup gain which ensures regional stability for the closed-loop system assuming that a nonlinear dynamic output feedback controller is previously designed to stabilize the nonlinear system. The results are based on the differential-algebraic representation of rational systems and a modified sector bound condition is applied to model the saturation effects. From these elements, LMI based conditions are devised to compute an anti-windup gain for enlarging the closed-loop region of attraction. A numerical example is given to illustrate the proposed method.

引用

页码：4797 / 4802

页数：6

共 50 条

[1] Nonlinear L2 anti-windup design:: An LMI-based approach
Zaccarian, L
Teel, AR
NONLINEAR CONTROL SYSTEMS 2001, VOLS 1-3, 2002, : 1217 - 1222
[2] Anti-windup design with guaranteed regions of stability: an LMI-based approach
da Silva, JMG
Tarbouriech, S
42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, : 4451 - 4456
[3] Results on linear LMI-based external anti-windup design
Grimm, G
Teel, AR
Zaccarian, L
PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 299 - 304
[4] Anti-windup design for time-delay systems subject to input saturation - An LMI-based approach
Gomes da Silva, Joao Manoel, Jr.
Tarbouriech, Sophie
Garcia, Germain
EUROPEAN JOURNAL OF CONTROL, 2006, 12 (06) : 622 - 634
[5] LMI-Based Anti-Windup Control Design for Discrete-Time Switched Systems With Actuator Saturation
Houti, Smail
Berdjag, Denis
Defoort, Michael
Lauber, Jimmy
IFAC PAPERSONLINE, 2022, 55 (15): : 81 - 86
[6] Anti-windup compensator design using LMI-based dynamic feedback
Dai, D
Wang, JC
2003 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS, VOLS 1-5, CONFERENCE PROCEEDINGS, 2003, : 2261 - 2265
[7] An anti-windup scheme for multivariable nonlinear systems
Kendi, TA
Doyle, FJ
JOURNAL OF PROCESS CONTROL, 1997, 7 (05) : 329 - 343
[8] Static anti-windup design for a class of nonlinear systems
Gomes da Silva, J. M., Jr.
Oliveira, M. Z.
Coutinho, D.
Tarbouriech, S.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2014, 24 (05) : 793 - 810
[9] Linear LMI-based external anti-windup augmentation for stable linear systems
Grimm, G
Teel, AR
Zaccarian, L
AUTOMATICA, 2004, 40 (11) : 1987 - 1996
[10] Dynamic anti-windup design for a class of nonlinear systems
Gomes da Silva, J. M., Jr.
Longhi, M. B.
Oliveira, M. Z.
INTERNATIONAL JOURNAL OF CONTROL, 2016, 89 (12) : 2406 - 2419

← 1 2 3 4 5 →