Robust Filtering for Nonlinear Nonhomogeneous Markov Jump Systems by Fuzzy Approximation Approach

This paper addresses the problem of robust fuzzy L2 - L∞ filtering for a class of uncertain nonlinear discretetime Markov jump systems (MJSs) with nonhomogeneous jump processes. The Takagi–Sugeno fuzzy model is employed to represent such nonlinear nonhomogeneous MJS with norm-bounded parameter uncer...

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Main Authors:	Yin, Y., Shi, Peng, Liu, F., Teo, Kok Lay, Lim, C.
Format:	Journal Article
Published:	Institute of Electrical and Electronics Engineers 2015
Subjects:	uncertain nonlinear system nonhomogeneous processes Markov jump system (MJS) Fuzzy L2 - L∞ filtering
Online Access:	http://hdl.handle.net/20.500.11937/42887

id	curtin-20.500.11937-42887
recordtype	eprints
spelling	curtin-20.500.11937-428872017-09-13T14:30:07Z Robust Filtering for Nonlinear Nonhomogeneous Markov Jump Systems by Fuzzy Approximation Approach Yin, Y. Shi, Peng Liu, F. Teo, Kok Lay Lim, C. uncertain nonlinear system nonhomogeneous processes Markov jump system (MJS) Fuzzy L2 - L∞ filtering This paper addresses the problem of robust fuzzy L2 - L∞ filtering for a class of uncertain nonlinear discretetime Markov jump systems (MJSs) with nonhomogeneous jump processes. The Takagi–Sugeno fuzzy model is employed to represent such nonlinear nonhomogeneous MJS with norm-bounded parameter uncertainties. In order to decrease conservation, a polytope Lyapunov function which evolves as a convex function is employed, and then, under the designed mode-dependent and variation-dependent fuzzy filter which includes the membership functions, a sufficient condition is presented to ensure that the filtering error dynamic system is stochastically stable and that it has a prescribed L2 - L∞ performance index. Two simulated examples are given to demonstrate the effectiveness and advantages of the proposed techniques. 2015 Journal Article http://hdl.handle.net/20.500.11937/42887 10.1109/TCYB.2014.2358680 Institute of Electrical and Electronics Engineers restricted
repository_type	Digital Repository
institution_category	Local University
institution	Curtin University Malaysia
building	Curtin Institutional Repository
collection	Online Access
topic	uncertain nonlinear system nonhomogeneous processes Markov jump system (MJS) Fuzzy L2 - L∞ filtering
spellingShingle	uncertain nonlinear system nonhomogeneous processes Markov jump system (MJS) Fuzzy L2 - L∞ filtering Yin, Y. Shi, Peng Liu, F. Teo, Kok Lay Lim, C. Robust Filtering for Nonlinear Nonhomogeneous Markov Jump Systems by Fuzzy Approximation Approach
description	This paper addresses the problem of robust fuzzy L2 - L∞ filtering for a class of uncertain nonlinear discretetime Markov jump systems (MJSs) with nonhomogeneous jump processes. The Takagi–Sugeno fuzzy model is employed to represent such nonlinear nonhomogeneous MJS with norm-bounded parameter uncertainties. In order to decrease conservation, a polytope Lyapunov function which evolves as a convex function is employed, and then, under the designed mode-dependent and variation-dependent fuzzy filter which includes the membership functions, a sufficient condition is presented to ensure that the filtering error dynamic system is stochastically stable and that it has a prescribed L2 - L∞ performance index. Two simulated examples are given to demonstrate the effectiveness and advantages of the proposed techniques.
format	Journal Article
author	Yin, Y. Shi, Peng Liu, F. Teo, Kok Lay Lim, C.
author_facet	Yin, Y. Shi, Peng Liu, F. Teo, Kok Lay Lim, C.
author_sort	Yin, Y.
title	Robust Filtering for Nonlinear Nonhomogeneous Markov Jump Systems by Fuzzy Approximation Approach
title_short	Robust Filtering for Nonlinear Nonhomogeneous Markov Jump Systems by Fuzzy Approximation Approach
title_full	Robust Filtering for Nonlinear Nonhomogeneous Markov Jump Systems by Fuzzy Approximation Approach
title_fullStr	Robust Filtering for Nonlinear Nonhomogeneous Markov Jump Systems by Fuzzy Approximation Approach
title_full_unstemmed	Robust Filtering for Nonlinear Nonhomogeneous Markov Jump Systems by Fuzzy Approximation Approach
title_sort	robust filtering for nonlinear nonhomogeneous markov jump systems by fuzzy approximation approach
publisher	Institute of Electrical and Electronics Engineers
publishDate	2015
url	http://hdl.handle.net/20.500.11937/42887
first_indexed	2018-09-06T23:24:23Z
last_indexed	2018-09-06T23:24:23Z
_version_	1610902419913310208

Robust Filtering for Nonlinear Nonhomogeneous Markov Jump Systems by Fuzzy Approximation Approach

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