Robust H 2 control of continuous-time Markov jump linear systems

This paper is concerned with the problem of designing robust H 2 state-feedback controllers for continuous-time Markov jump linear systems subject to polytopic-type parameter uncertainty. Based on the parameter-dependent Lyapunov function approach, a new method for designing robust H 2 controllers i...

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Bibliographic Details
Published inAutomatica (Oxford) Vol. 44; no. 5; pp. 1431 - 1436
Main Authors Dong, Jiuxiang, Yang, Guang-Hong
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.05.2008
Subjects
Linear matrix inequalities (LMIs)
Linear systems
Markov parameters
Parameter uncertainty
Parameter-dependent Lyapunov function
Robust control
Linear systems
Robust control
Markov parameters
Linear matrix inequalities (LMIs)
Parameter uncertainty
Parameter-dependent Lyapunov function
Online AccessGet full text
ISSN0005-1098
1873-2836
DOI10.1016/j.automatica.2007.09.015

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Summary:This paper is concerned with the problem of designing robust H 2 state-feedback controllers for continuous-time Markov jump linear systems subject to polytopic-type parameter uncertainty. Based on the parameter-dependent Lyapunov function approach, a new method for designing robust H 2 controllers is presented in terms of solutions to a set of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the proposed design method.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2007.09.015