Reduced-order ℓ-ℓ filtering for discrete-time T-S fuzzy systems with stochastic perturbation

Tong Peng, Xiaozhan Yang, Ligang Wu and Baojun Pang

International Journal of Systems Science, 2015, vol. 46, issue 1, 179-192

Abstract: This paper is concerned with the problem of ℓ2-ℓ∞ filtering for discrete-time Takagi-Sugeno (T-S) fuzzy systems with stochastic perturbation. Firstly, a basis-dependent existence condition of desirable ℓ2-ℓ∞ filters is proposed. Then by means of the convex linearisation technique, the derived condition is transformed into some strict linear matrix inequality (LMI) constraints, by which both full- and reduced-order filters can be designed. Moreover, for the reduced-order ℓ2-ℓ∞ filter design, a novel analysis and design method with the projection lemma is also provided. Finally, a numerical example is provided to illustrate the feasibility and effectiveness of the proposed full- and reduced-order ℓ2-ℓ∞ filter design methods.

Date: 2015
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DOI: 10.1080/00207721.2013.775393

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