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Finite frequency H∞ filter design for T-S fuzzy continuous systems

Finite frequency H∞ filter design for T-S fuzzy continuous systems This paper addresses the problem of finite frequency (FF) H∞ filter design for nonlinear continuous-time systems described by Takagi-Sugeno (T-S) fuzzy models. The objective is to provide a new design sufficient condition via linear matrix inequality (LMI) formulation, ensuring both the stability of the filtering error system and H∞ performance when frequency ranges of noises are known beforehand. Less conservative results are obtained by using the generalised Kalman-Yakubovich-Popov (gKYP) lemma, Finsler's lemma and some independent matrices. Finally, three examples are given to show that the developed FF distributed filter design method has less conservation than the method for the entire frequency region. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of System of Systems Engineering Inderscience Publishers

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Publisher
Inderscience Publishers
Copyright
Copyright © Inderscience Enterprises Ltd
ISSN
1748-0671
eISSN
1748-068X
DOI
10.1504/IJSSE.2020.112309
Publisher site
See Article on Publisher Site

Abstract

This paper addresses the problem of finite frequency (FF) H∞ filter design for nonlinear continuous-time systems described by Takagi-Sugeno (T-S) fuzzy models. The objective is to provide a new design sufficient condition via linear matrix inequality (LMI) formulation, ensuring both the stability of the filtering error system and H∞ performance when frequency ranges of noises are known beforehand. Less conservative results are obtained by using the generalised Kalman-Yakubovich-Popov (gKYP) lemma, Finsler's lemma and some independent matrices. Finally, three examples are given to show that the developed FF distributed filter design method has less conservation than the method for the entire frequency region.

Journal

International Journal of System of Systems EngineeringInderscience Publishers

Published: Jan 1, 2020

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