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Master‐slave synchronization for delayed Lur'e systems using time‐delay feedback control
Author(s) -
Li Tao,
Song Aiguo,
Fei Shumin
Publication year - 2011
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.198
Subject(s) - control theory (sociology) , synchronization (alternating current) , controller (irrigation) , regular polygon , convex combination , mathematics , feedback control , computer science , convex optimization , control (management) , control engineering , engineering , topology (electrical circuits) , artificial intelligence , geometry , combinatorics , agronomy , biology
AbstractThis paper deals with the problem of designing delayed feedback controllers of master‐slave synchronization for Lur'e systems with time‐variant delay (0≤τ 0 ≤τ( t )≤τ m ). Through partitioning the intervals [0, τ 0 ] and [τ 0 , τ m ], respectively, and choosing two augmented Lyapunov‐Krasovskii functionals(LKFs), two delay‐dependent synchronization criteria are formulated in the form of linear matrix inequalities (LMIs), in which the conservatism can be greatly reduced by thinning the partitioning of delay intervals and employing convex combination. Thus the sufficient conditions can be derived for the existence of delayed feedback controllers, and the controller gain matrices can be achieved by solving the established LMIs. Finally, three numerical examples are given to illustrate the presented synchronization schemes. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society