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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| Published in: | International journal of robust and nonlinear control Vol. 23; no. 17; pp. 1932 - 1954 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
Bognor Regis
Blackwell Publishing Ltd
25.11.2013
Wiley Subscription Services, Inc |
| Subjects: | |
| ISSN: | 1049-8923, 1099-1239 |
| Online Access: | Get full text |
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| Summary: | 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. |
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| Bibliography: | 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 ObjectType-Feature-2 content type line 14 |
| ISSN: | 1049-8923 1099-1239 |
| DOI: | 10.1002/rnc.2859 |