Robust stability and stabilization of uncertain linear positive systems via integral linear constraints: L1-gain and L∞-gain characterization

SUMMARYCopositive linear Lyapunov functions are used along with dissipativity theory for stability analysis and control of uncertain linear positive systems. Unlike usual results on linear systems, linear supply rates are employed here for robustness and performance analysis using L1‐gain and L∞‐gai...

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Vydáno v:International journal of robust and nonlinear control Ročník 23; číslo 17; s. 1932 - 1954
Hlavní autor: Briat, Corentin
Médium: Journal Article
Jazyk:angličtina
Vydáno: Bognor Regis Blackwell Publishing Ltd 25.11.2013
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Témata:
integral linear constraints
positive linear systems
relaxation
robust control
robust linear programming
robustness
ISSN:1049-8923, 1099-1239
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Shrnutí:SUMMARYCopositive linear Lyapunov functions are used along with dissipativity theory for stability analysis and control of uncertain linear positive systems. Unlike usual results on linear systems, linear supply rates are employed here for robustness and performance analysis using L1‐gain and L∞‐gain. Robust stability analysis is performed using integral linear constraints for which several classes of uncertainties are discussed. The approach is then extended to robust stabilization and performance optimization. The obtained results are expressed in terms of robust linear programming problems that are equivalently turned into finite dimensional ones using Handelman's theorem. Several examples are provided for illustration. Copyright © 2012 John Wiley & Sons, Ltd.
Bibliografie:ark:/67375/WNG-3TW06DC7-3
istex:61287C44D531861D9729A8212980BE5CBC205B19
ArticleID:RNC2859
The author was previously with the ACCESS Linnaeus Centre, KTH, Stockholm, Sweden.
ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.2859