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Static anti‐windup design for a class of nonlinear systems
Author(s) -
Silva J.M.Gomes,
Oliveira M.Z.,
Coutinho D.,
Tarbouriech S.
Publication year - 2012
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.2917
Subject(s) - control theory (sociology) , nonlinear system , algebraic number , multivariable calculus , actuator , class (philosophy) , representation (politics) , stability (learning theory) , controller (irrigation) , mathematics , computer science , control (management) , control engineering , engineering , mathematical analysis , agronomy , physics , quantum mechanics , artificial intelligence , machine learning , politics , law , political science , biology
SUMMARY 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.