Improved Robust H∞ Filtering Approach for Nonlinear Systems

Jun Chen and Haiqiao Sun

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: An improved design approach of robust H∞ filter for a class of nonlinear systems described by the Takagi‐Sugeno (T‐S) fuzzy model is considered. By introducing a free matrix variable, a new sufficient condition for the existence of robust H∞ filter is derived. This condition guarantees that the filtering error system is robustly asymptotically stable and a prescribed H∞ performance is satisfied for all admissible uncertainties. Particularly, the solution of filter parameters which are independent of the Lyapunov matrix can be transformed into a feasibility problem in terms of linear matrix inequalities (LMIs). Finally, a numerical example illustrates that the proposed filter design procedure is effective.

Date: 2014
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https://doi.org/10.1155/2014/613026

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:613026

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