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Robust stability and stabilization of uncertain linear positive systems via integral linear constraints: L-1-gain and L-infinity-gain characterization
KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
2013 (English)In: International Journal of Robust and Nonlinear Control, ISSN 1049-8923, E-ISSN 1099-1239, Vol. 23, no 17, 1932-1954 p.Article in journal (Refereed) Published
Abstract [en]

Copositive 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 L-1-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.

Place, publisher, year, edition, pages
2013. Vol. 23, no 17, 1932-1954 p.
Keyword [en]
positive linear systems, robustness, integral linear constraints, robust control, robust linear programming, relaxation
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-134556DOI: 10.1002/rnc.2859ISI: 000326286000002OAI: diva2:667074

QC 20131125

Available from: 2013-11-25 Created: 2013-11-25 Last updated: 2013-11-25Bibliographically approved

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Briat, Corentin
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