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Decentralized weighted H ∞ control for a class of large‐scale systems with multi‐modes
Author(s) -
Xiang Weiming,
Xiao Jian,
Han Lu
Publication year - 2014
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.3062
Subject(s) - decentralised system , control theory (sociology) , dwell time , class (philosophy) , exponential stability , computer science , controller (irrigation) , scale (ratio) , state (computer science) , signal (programming language) , stability (learning theory) , scheme (mathematics) , control (management) , mathematics , algorithm , nonlinear system , artificial intelligence , medicine , clinical psychology , physics , quantum mechanics , machine learning , agronomy , biology , programming language , mathematical analysis
SUMMARY In this paper, theH ∞control synthesis problem for a class of large‐scale systems with multi‐modes that are called large‐scale switched systems is addressed. By introducing the concept of decentralized switching signal and the relevant decentralized average dwell time, the asymptotic stability and weighted ℓ 2 gain performance are investigated. It should be noted that the decentralized switching covers general switching cases for large‐scale switched systems, namely, it admits both time‐dependent switching signal and arbitrary switching signal blended in the decentralized switching. Then, on the basis of the analysis results, the decentralized weightedH ∞control scheme including state feedback controller gains and switching signals is studied. Several design algorithms are proposed to meet different controller design problems. Finally, numerical examples are provided to illustrate theoretical findings within this paper. Copyright © 2013 John Wiley & Sons, Ltd.