H∞ output feedback control design for uncertain fuzzy singularly perturbed systems: an LMI approach

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Assawinchaichote, Wudhichai ORCID: 0000-0003-1333-5646, Nguang, S and Shi, Peng ORCID: 0000-0001-8218-586X (2004) H∞ output feedback control design for uncertain fuzzy singularly perturbed systems: an LMI approach. Automatica, 40 (12). pp. 2147-2152. ISSN 0005-1098

Abstract

This paper examines the problem of designing a robust H∞ output feedback controller for a class of singularly perturbed systems described by a Takagi–Sugeno fuzzy model. Based on a linear matrix inequality (LMI) approach, LMI-based sufficient conditions for the uncertain singularly perturbed nonlinear systems to have an H∞ performance are derived. To eliminate the ill-conditioning caused by the interaction of slow and fast dynamic modes, solutions to the problem are presented in terms of LMIs which are independent of the singular perturbation . The proposed approach does not involve the separation of states into slow and fast ones and it can be applied not only to standard, but also to nonstandard singularly perturbed nonlinear systems. A numerical example is provided to illustrate the design developed in this paper.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/2527
DOI	10.1016/j.automatica.2004.07.006
Official URL	http://dx.doi.org/10.1016/j.automatica.2004.07.006
Subjects	Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM) Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Keywords	ResPubID18894, Takagi–Sugeno fuzzy control, Linear matrix inequalities (LMIs), Robust H-infinity control, Nonlinear H-infinity control, ingularly perturbed system
Citations in Scopus	113 - View on Scopus
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