Fuzzy model-based robust H∞ filtering for a class of nonlinear nonhomogeneous Markov jump systems
Date
2013
Authors
Yin, Y.
Shi, P.
Liu, F.
Teo, K.
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Journal article
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Signal Processing, 2013; 93(9):2381-2391
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Yanyan Yin, Peng Shi, Fei Liu and Kok Lay Teo
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Abstract
This paper studies the problem of robust fuzzy H∞ filtering for a class of uncertain nonlinear discrete-time Markov jump systems with nonhomogeneous jump transition probabilities. The Takagi and Sugeno fuzzy model is employed to represent such nonlinear nonhomogeneous Markov jump system with norm-bounded parameter uncertainties. By Lyapunov function approach, 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 has a prescribed H∞ performance index. An example is given to demonstrate the effectiveness and advantages of the proposed techniques.
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© 2013 Elsevier B.V. All rights reserved.