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

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Assawinchaichote, W, Nguang, Sing Kiong, Shi, Peng 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 https://doi.org/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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