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Simultaneous Linear and Anti‐Windup Controller Synthesis: Delayed Activation Case
Author(s) -
Ran Maopeng,
Wang Qing,
Ni Maolin,
Dong Chaoyang
Publication year - 2015
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.948
Subject(s) - control theory (sociology) , linear matrix inequality , controller (irrigation) , computer science , mathematics , mathematical optimization , control (management) , artificial intelligence , agronomy , biology
In this paper, we present a method for the synthesis of a delayed anti‐windup scheme in which the anti‐windup compensator is activated only when the degree of saturation reaches a certain level. Unlike the traditional two‐step anti‐windup design procedure, our method synthesizes entire parameters of the nominal controller and the delayed anti‐windup compensator simultaneously. In this simultaneous design, the trade‐offs between the linear and the constrained closed‐loop response are carried out, for the anti‐windup compensator retrofits to the “existing” nominal controller. Sufficient conditions for guaranteeing global stability and minimizing the inducedL 2gain performance for exogenous input are formulated and solved as some linear matrix inequality (LMI) optimization problems. Effectiveness of the proposed method is illustrated with a well‐known example.