Decentralized weighted H∞ control for a class of large‐scale systems with multi‐modes. (13th August 2013)

• Record Type: Journal Article
• Authors: Xiang, Weiming; Xiao, Jian; Han, Lu
• Is Part Of: International journal of robust and nonlinear control. Volume 24:Number 18(2014)
• Page Start: 3387
• Page End: 3408
• Publication Date: 2013-08-13
• Subjects: Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.3062
• Languages: English
• ISSNs: 1049-8923

Abstract

<abstract abstract-type="main" id="rnc3062-abs-0001"> <title>SUMMARY</title> <p id="rnc3062-para-0001">In this paper, the <inline-formula><alternatives><inline-graphic mimetype="image" xlink:href="ark:/27927/pgh2cqt7pwp" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math display="block" altimg="urn:x-wiley:10498923:media:rnc3062:rnc3062-math-0001" overflow="scroll" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mrow><mml:mi mathvariant="script">H</mml:mi></mml:mrow><mml:mrow><mml:mo class="MathClass-rel">∞</mml:mo></mml:mrow></mml:msub></mml:math></alternatives></inline-formula> 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 <italic>ℓ</italic><sub>2</sub> 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 weighted <inline-formula><alternatives><inline-graphic mimetype="image" xlink:href="ark:/27927/pgh2cqt7q0v" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math display="block" altimg="urn:x-wiley:10498923:media:rnc3062:rnc3062-math-0002" overflow="scroll" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mrow><mml:mi mathvariant="script">H</mml:mi></mml:mrow><mml:mrow><mml:mo class="MathClass-rel">∞</mml:mo></mml:mrow></mml:msub></mml:math></alternatives></inline-formula> 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.</p> </abstract>