H2 detector-based state feedback control of continuous-time MJLS subject to uncertain transition rate matrices

This paper uses detector-based mode information to address the H2 state-feedback control problem for continuous-time Markov Jump Linear Systems (MJLS). The focus is on designing robust controllers capable of handling uncertainties affecting both the Markov process and its detector, a less explored s...

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Bibliographic Details
Published inJournal of the Franklin Institute Vol. 361; no. 15
Main Authors da Silva, Lucas P.M., Oliveira, Ricardo C.L.F.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.10.2024
Subjects
Hidden Markov chain
Linear matrix inequalities
Markov jump systems
Polytopic uncertainty
ℚ2 state-feedback control
ℚ2 state-feedback control
Hidden Markov chain
Linear matrix inequalities
Markov jump systems
Polytopic uncertainty
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Summary:This paper uses detector-based mode information to address the H2 state-feedback control problem for continuous-time Markov Jump Linear Systems (MJLS). The focus is on designing robust controllers capable of handling uncertainties affecting both the Markov process and its detector, a less explored scenario in the literature. The main contribution lies in presenting a new LMI-based algorithm within a suitable synthesis framework to deal with uncertain parameters. A key advantage is the absence of constraints on the optimization variables, even in cases involving structured controllers like decentralized control. To illustrate the effectiveness of the proposed technique, a numerical example based on a linearized model of an unmanned aircraft is provided, showcasing its superiority over existing approaches.
ISSN:0016-0032
DOI:10.1016/j.jfranklin.2024.107123