A delay-dependent H-infinity filtering approach for linear systems with time-varying delays

A novel delay-dependent H_∞ filter is designed for a class of linear continuous-time systems with convex-bounded parameteric uncertainties and time-varying delays. The time-delays appear in the state as well as the output and measurement channels. The filter has general, linear full-order structure and it guarantees the desired estimation accuracy over the entire uncertainty polytope. A new parametrization and injection procedure is developed to establish sufficient conditions for delay-dependent filter feasibility and the filter gains are determined by solving linear matrix inequalities (LMIs). In comparison to the existing design methods, the developed methodology yields the least conservative measures since all previous overdesign limitations are almost eliminated. By means of simulation examples, the advantages of the developed technique are readily demonstrated.