A non-fragile H∞ output feedback controller for uncertain fuzzy dynamical systems with multiple time-scales

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Author list: Assawinchaichote W.

Publisher: Agora University of Oradea

Publication year: 2012

Journal: International Journal of Computers Communications and Control (1841-9836)

Volume number: 7

Issue number: 1

Start page: 8

End page: 19

Number of pages: 12

ISSN: 1841-9836

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84855719264&doi=10.15837%2fijccc.2012.1.1419&partnerID=40&md5=f50f1bcc63fd42c5e60633d5606cc275

Languages: English-Great Britain (EN-GB)

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Abstract

This paper determines the designing of a non-fragile H∞ output feedback controller for a class of nonlinear uncertain dynamical systems with multiple timescales described by a Takagi-Sugeno (TS) fuzzy model. Based on a linear matrix inequality (LMI) approach, we develop a non-fragile H∞output feedback 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 paper. © 2006-2012 by CCC Publications.

Keywords

Fuzzy control, Linear matrix inequality (LMI), Multiple time-scale systems