Robust H-infinity fuzzy filter design for uncertain nonlinear singularly perturbed systems with Markovian jumps: an LMI approach

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Assawinchaichote, Wudhichai ORCID: 0000-0003-1333-5646, Nguang, Sing Kiong, Shi, Peng ORCID: 0000-0001-8218-586X and Argawal, Ramesh K (2004) Robust H-infinity fuzzy filter design for uncertain nonlinear singularly perturbed systems with Markovian jumps: an LMI approach. In: 43rd IEEE Conference on Decision and Control (CDC), 2004. IEEE, Nassau, Bahamas, pp. 1773-1777.

Abstract

This paper examines the problem of designing a robust H∞ fuzzy filter for a singularly perturbed Takagi-Sugeno (TS) fuzzy system with Markovian jumps. Based on a linear matrix inequality (LMI) approach, sufficient conditions for the existence of a robust H∞ fuzzy filter are derived in terms of a family of LMIs. To alleviate the numerical stiffness resulting from the interaction of slow and fast dynamic modes, solutions to the problem are given in terms of linear matrix inequalities which are independent of the singular perturbation e. The proposed approach does not involve the separation of states into slow and fast ones and it can be applied to both standard and nonstandard nonlinear singularly perturbed systems.

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Item type	Book Section
URI	https://vuir.vu.edu.au/id/eprint/6374
DOI	10.1109/CDC.2004.1430302
Official URL	http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arn...
ISBN	0780386825
Subjects	Historical > FOR Classification > 0906 Electrical and Electronic Engineering Historical > FOR Classification > 0103 Numerical and Computational Mathematics Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Keywords	ResPubID19085, Markov processes, fuzzy systems, linear matrix inequalities, nonlinear systems, H∞ control
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