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H_{\infty } Filtering for Fuzzy Singularly Perturbed Systems

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2 Author(s)
Guang-hong Yang ; Key Lab. of Integrated Autom. of Process Ind., Northeastern Univ., Shenyang ; Jiuxiang Dong

This paper considers the problem of designing H infin filters for fuzzy singularly perturbed systems with the consideration of improving the bound of singular-perturbation parameter epsiv. First, a linear-matrix-inequality (LMI)-based approach is presented for simultaneously designing the bound of the singularly perturbed parameter epsiv, and H infin filters for a fuzzy singularly perturbed system. When the bound of singularly perturbed parameter epsiv is not under consideration, the result reduces to an LMI-based design method for H infin filtering of fuzzy singularly perturbed systems. Furthermore, a method is given for evaluating the upper bound of singularly perturbed parameter subject to the constraint that the considered system is to be with a prescribed H infin performance bound, and the upper bound can be obtained by solving a generalized eigenvalue problem. Finally, numerical examples are given to illustrate the effectiveness of the proposed methods.

Published in:

Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on  (Volume:38 ,  Issue: 5 )

Date of Publication:

Oct. 2008

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