Improved L₂ - L_∞ T-S fuzzy filtering for discrete stochastic systems
by Taha Zoulagh; Bensalem Boukili; Abdelaziz Hmamed; Ahmed El Hajjaji
International Journal of Digital Signals and Smart Systems (IJDSSS), Vol. 2, No. 2, 2018

Abstract: The problem of L₂ - L_∞ filtering for a class of Takagi-Sugeno (T-S) fuzzy stochastic systems is tackled in this paper. A new design method of full order filter is presented, that guarantees the asymptotic stability of filtering error system with a prescribed L₂ - L_∞ performance level. The filter parameters are assumed to be linearly dependent on the normalised fuzzy weighting functions. Sufficient analysis condition is proposed in the filter analysis step where some known lemmas are applied, thereafter, the corresponding filter design is cast into a convex optimisation problem. Finally, numerical example from literature is employed to demonstrate the effectiveness of the proposed method.

Online publication date: Fri, 13-Jul-2018

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