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H ∞ control for linear switched systems with time‐varying delay and dead‐zone inputs via an adaptive memory controller
Author(s) -
Zhai Ding,
Lu AnYang,
Dong Jiuxiang,
Zhang QingLing
Publication year - 2016
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2261
Subject(s) - control theory (sociology) , controller (irrigation) , linear matrix inequality , state (computer science) , dead zone , computer science , dead time , control (management) , mathematics , mathematical optimization , algorithm , statistics , oceanography , artificial intelligence , agronomy , biology , geology
Summary This paper deals with the problem of robust H ∞ control for linear switched systems with time‐varying delay and dead‐zone inputs. First, a new state‐dependent switching law is proposed for the switched system with stable and unstable subsystems. Based on the proposed switching law and using the scaled small gain theorem, a more general stability criterion for the switched delay systems is established. Second, an adaptive memory controller is proposed for the switched system with dead‐zone inputs. With the help of a two‐term approximation of the time‐varying delay, the proposed memory controller only depends on the bounds of the time‐varying delay. Sufficient conditions on the existence of the desired controller are formulated in terms of linear matrix inequalities. Three examples are provided to illustrate the effectiveness of the proposed methods. Copyright © 2016 John Wiley & Sons, Ltd.