Synthesis of a robust H∞ fuzzy controller for uncertain nonlinear dynamical systems

Conference proceedings article

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Publication Details

Author list: Assawinchaichote W., Nguang S.K.

Publisher: Hindawi

Publication year: 2009

Start page: 207

End page: 212

Number of pages: 6

ISBN: 9780889867949

eISSN: 1745-4557

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-74549226220&partnerID=40&md5=3546143f324fd34647c9d35f2849dca8

Languages: English-Great Britain (EN-GB)

Abstract

This paper investigates the problem of designing a robust controller for a class of uncertain nonlinear dynamical systems that guarantees the L 2-gain from an exogenous input to a regulated output is less than or equal to a prescribed value. First, we approximate this class of uncertain nonlinear systems by a class of uncertain Takagi-Sugeno fuzzy models. Then, based on an LMI approach, LMI-based sufficient conditions for the uncertain fuzzy systems to have an H∞ performance are derived.

Keywords

Linear matrix inequality (LMI)