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

This paper investigates the l(2) - l(infinity) 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 l(2)-l(infinity) disturbance attenuation is presented, in which both stability and prescribed l(2)-l(infinity) performance are required to be achieved for the filtering-error systems. Then, based on the condition, the full-order and reduced-order delay-dependent l(2)-l(infinity) 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.