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This work focuses on the problem of full- and reduced-order ℓ2-ℓ∞ filter design for discrete-time Takagi-Sugeno (T-S) fuzzy stochastic systems. Firstly, we propose a basis-dependent condition for the existence of desirable ℓ2-ℓ∞ filters. Then by the convex linearization technique, we transform the derived condition into some strict linear matrix inequality (LMI) constraints. At the same time, both...
This paper is concerned with the Hankel norm model approximation for discrete-time Takagi-Sugeno (T-S) fuzzy systems with time delay. For a given stable T-S fuzzy system, our attention is focused on the construction of a reduced-order model which not only approximates the original system well with a Hankel norm performance but also is translated into a lower-dimensional system. By employing the modified...
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