A novel robust H∞ fuzzy state-feedback control design on nonlinear Markovian jump systems with time-varying delay

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Publication Details

Author list: Assawinchaichote W.

Publisher: Polish Academy of Sciences

Publication year: 2014

Journal: Control and Cybernetics (0324-8570)

Volume number: 43

Issue number: 2

Start page: 227

End page: 248

Number of pages: 22

ISSN: 0324-8569

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85018215537&partnerID=40&md5=8f86ac5be65e904756edc0c261417e0c

Languages: English-Great Britain (EN-GB)

Abstract

This paper considers the problem of designing a robust H∞ fuzzy state-feedback controller for a class of nonlinear Markovian jump systems with time-varying delay. A novel design methodology has been proposed for designing a controller that guarantees the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value. Solutions to the problem are provided in terms of linear matrix inequalities. To illustrate the effectiveness of the design developed in this paper, a numerical example is also provided.

Keywords

H∞ fuzzy control, Markovian jump parameters, Time-varying delay