Delay-dependent model reduction for continuous-time switched state-delayed systems

This paper studies the problem of exponential H∞ model reduction for continuous‐time switched delay system under average dwell time (ADT) switching signals. Time delay under consideration is interval time varying. Our attention is focused on the construction of the desired reduced order models, whic...

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Veröffentlicht in:International journal of adaptive control and signal processing Jg. 25; H. 9; S. 843 - 854
Hauptverfasser: Wang, Dong, Wang, Wei, Shi, Peng
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Chichester, UK John Wiley & Sons, Ltd 01.09.2011
Schlagworte:
ADT
Blocking
Construction
Delay
Model reduction
Norms
Reduced order models
switched linear systems
Switching
Time delay
time-varying delay
ISSN:0890-6327, 1099-1115, 1099-1115
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Zusammenfassung:This paper studies the problem of exponential H∞ model reduction for continuous‐time switched delay system under average dwell time (ADT) switching signals. Time delay under consideration is interval time varying. Our attention is focused on the construction of the desired reduced order models, which guarantee that the resulting error systems under ADT switching signals are exponentially stable with an H∞ norm bound. By introducing a block matrix and making use of the ADT approach, delay‐dependent sufficient conditions for the existence of reduced order models are derived and formulated in terms of strict linear matrix inequalities (LMIs). Owing to the absence of non‐convex constraints, it is tractable to construct an admissible reduced order model. The effectiveness of the proposed methods is illustrated via two numerical examples. Copyright © 2011 John Wiley & Sons, Ltd.
Bibliographie:ark:/67375/WNG-V4HK5KLV-X
ArticleID:ACS1246
istex:62DA4CFFD2A7DA46FD7AECD32C4DAA96F716C221
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0890-6327
1099-1115
1099-1115
DOI:10.1002/acs.1246