A Novel Approach to ℓ2-ℓ∞ Filter Design for T-S Fuzzy Systems with Multiple Time-Varying Delays

Abstract EN

This paper investigates the ℓ2-ℓ∞ filtering problem of T-S fuzzy systems with multiple time-varying delays.

First, by the Lyapunov-Krasovskii functional approach and free-weighting matrix method, a delay-dependent sufficient condition on ℓ2-ℓ∞-disturbance attenuation is presented, in which both stability and prescribed ℓ2-ℓ∞ performance are required to be achieved for the filtering-error systems.

Then, based on the condition, the full-order and reduced-order delay-dependent ℓ2-ℓ∞ filter design schemes for T-S fuzzy multiple time-varying delays systems are developed in terms of linear matrix inequality (LMI).

Finally, an example is given to illustrate the effectiveness of the result.