An Improvement of H∞ Filtering Design for T-S fuzzy Time-Varying Delay Systems: Input-Output Approach

This paper discusses the problem of delay-dependent H-infinity filtering design for T-S fuzzy time-varying delay systems. By considering an input-output approach, a new model transformation is applied by employing a three-term approximation, which has a smaller approximation error than the two-term approximation. Thus, based on the scaled small gain Theorem (SSG) combined with the quadratic Lyapunov Function approach, the H-infinity full-and reduced-order filter are designed in terms of linear matrix inequalities (LMIs) via simple linearization technique. Finally, an illustrative example is presented to demonstrate the validity of the proposed methods.