Further results on H ∞ Filtering Design for Continuous Time–Systems With Time–Varying Delay Systems: Three Term Approximation Approach

This paper focuses on H ∞ filter design for systems with time-varying delay using Input Output approach. A new approximation of time varying delay is firstly proposed. Based on scaled small gain theorem and Lyapunov-Krasovskii approach, a novel asymptotic stability criterion of the filtering error system is established. Thus, The H ∞ full- and reduced-order filters are designed in terms of linear matrix inequalities (LMIs). Finally, illustrative example is presented to demonstrate the validity of the proposed method.