A new approach to non-fragile H∞ fuzzy controller for uncertain fuzzy dynamical systems with multiple time-scales

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Author list: Assawinchaichote W.

Publication year: 2010

Journal: International Journal of Systems Signal Control and Engineering Application (1997-5422)

Volume number: 3

Issue number: 3

Start page: 49

End page: 64

Number of pages: 16

ISSN: 1997-5422

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-79951987101&doi=10.3923%2fijssceapp.2010.49.64&partnerID=40&md5=06baa43e223f0e46fe96678c5e5a3838

Languages: English-Great Britain (EN-GB)

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Abstract

This study examines the problem of designing a new approach to non-fragile H∞ controllers for a class of nonlinear uncertain dynamical systems with multiple time-scales described by a Takagi-Sugeno (TS) fuzzy model. Based on a Linear Matrix Inequality (LMI) approach, we develop a non-fragile H∞ controller which guarantees the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value for this class of uncertain fuzzy dynamical systems with multiple time-scales. A numerical example is provided to illustrate the design developed in this study. © Medwell Journals, 2010.

Keywords

Dynamical system, Exogenous, Non-fragile H∞ control