A new approach to non-fragile H∞ fuzzy filter of uncertain markovian jump nonlinear systems

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Publication Details

Author list: Assawinchaichote W.

Publication year: 2010

Journal: International Journal of Mathematics and Computers in Simulation (1998-0159)

Volume number: 4

Issue number: 2

Start page: 21

End page: 33

Number of pages: 13

ISSN: 1998-0159

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-78649431817&partnerID=40&md5=4891b5a501f089bb602c921ead7ff770

Languages: English-Great Britain (EN-GB)

Abstract

This paper considers the problem of designing a nonfragile H∞ fuzzy filter for uncertain Markovian jump nonlinear systems that the guarantees the L2-gain from an exogenous input to an estimate error output being less than or equal to a prescribed value. Sufficient conditions for the existence of the H∞ fuzzy filter are given in terms of a set of LMIs. In this paper, the premise variables of the H∞ fuzzy filter are allowed to be different from the premise variables of the TS fuzzy model of the plant such that the results are shown into two cases which are the premise variable of the fuzzy model be measurable and the premise variable assumed to be unmeasurable.

Keywords

Filtering, Fuzzy filtering, Fuzzy systems, LMIs, Lyapunov function, Non-fragile H∞