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Article: On robust stabilization of Markovian jump systems with uncertain switching probabilities
Title | On robust stabilization of Markovian jump systems with uncertain switching probabilities |
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Authors | |
Keywords | Linear Matrix Inequalities Markovian Parameters Robust Stability Uncertain Systems |
Issue Date | 2005 |
Publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/automatica |
Citation | Automatica, 2005, v. 41 n. 5, p. 897-903 How to Cite? |
Abstract | This brief paper is concerned with the robust stabilization problem for a class of Markovian jump linear systems with uncertain switching probabilities. The uncertain Markovian jump system under consideration involves parameter uncertainties both in the system matrices and in the mode transition rate matrix. First, a new criterion for testing the robust stability of such systems is established in terms of linear matrix inequalities. Then, a sufficient condition is proposed for the design of robust state-feedback controllers. A globally convergent algorithm involving convex optimization is also presented to help construct such controllers effectively. Finally, a numerical simulation is used to illustrate the developed theory. © 2005 Elsevier Ltd. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/156746 |
ISSN | 2023 Impact Factor: 4.8 2023 SCImago Journal Rankings: 3.502 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Xiong, J | en_US |
dc.contributor.author | Lam, J | en_US |
dc.contributor.author | Gao, H | en_US |
dc.contributor.author | Ho, DWC | en_US |
dc.date.accessioned | 2012-08-08T08:43:48Z | - |
dc.date.available | 2012-08-08T08:43:48Z | - |
dc.date.issued | 2005 | en_US |
dc.identifier.citation | Automatica, 2005, v. 41 n. 5, p. 897-903 | en_US |
dc.identifier.issn | 0005-1098 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156746 | - |
dc.description.abstract | This brief paper is concerned with the robust stabilization problem for a class of Markovian jump linear systems with uncertain switching probabilities. The uncertain Markovian jump system under consideration involves parameter uncertainties both in the system matrices and in the mode transition rate matrix. First, a new criterion for testing the robust stability of such systems is established in terms of linear matrix inequalities. Then, a sufficient condition is proposed for the design of robust state-feedback controllers. A globally convergent algorithm involving convex optimization is also presented to help construct such controllers effectively. Finally, a numerical simulation is used to illustrate the developed theory. © 2005 Elsevier Ltd. All rights reserved. | en_US |
dc.language | eng | en_US |
dc.publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/automatica | en_US |
dc.relation.ispartof | Automatica | en_US |
dc.subject | Linear Matrix Inequalities | en_US |
dc.subject | Markovian Parameters | en_US |
dc.subject | Robust Stability | en_US |
dc.subject | Uncertain Systems | en_US |
dc.title | On robust stabilization of Markovian jump systems with uncertain switching probabilities | en_US |
dc.type | Article | en_US |
dc.identifier.email | Lam, J:james.lam@hku.hk | en_US |
dc.identifier.authority | Lam, J=rp00133 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1016/j.automatica.2004.12.001 | en_US |
dc.identifier.scopus | eid_2-s2.0-14844347294 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-14844347294&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 41 | en_US |
dc.identifier.issue | 5 | en_US |
dc.identifier.spage | 897 | en_US |
dc.identifier.epage | 903 | en_US |
dc.identifier.isi | WOS:000228302200017 | - |
dc.publisher.place | United Kingdom | en_US |
dc.identifier.scopusauthorid | Xiong, J=8546678700 | en_US |
dc.identifier.scopusauthorid | Lam, J=7201973414 | en_US |
dc.identifier.scopusauthorid | Gao, H=7402971422 | en_US |
dc.identifier.scopusauthorid | Ho, DWC=7402971938 | en_US |
dc.identifier.issnl | 0005-1098 | - |