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Modified static anti‐windup for saturated systems with sector‐bounded and slope‐restricted nonlinearities
Author(s) -
Wang Naizhou,
Pei Hailong,
Tang Yong
Publication year - 2016
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.3511
Subject(s) - bounded function , control theory (sociology) , lyapunov function , actuator , saturation (graph theory) , mathematics , quadratic equation , controller (irrigation) , function (biology) , computer science , control (management) , nonlinear system , mathematical analysis , physics , geometry , quantum mechanics , artificial intelligence , combinatorics , agronomy , biology , evolutionary biology
Summary This paper proposes modified static anti‐windup techniques for saturated systems with sector‐bounded and slope‐restricted nonlinearities by augmenting the pre‐designed controller with the so‐called differential compensator to process the slope restriction. By using a purely quadratic Lyapunov function and with a modified sector condition dealing with actuator saturation, LMI‐based synthesis conditions are presented to address the problems of the estimates of the region of attraction andL 2performance analysis of the closed‐loop system. Numerical examples illustrate the effectiveness of the proposed approaches. Copyright © 2016 John Wiley & Sons, Ltd.