Reduced-order H∞ filter of singular Markovian jump systems with mode-dependent time delay

A reduced-order delay-dependent H_∞ filter design method for singular Markovian jump systems with mode-dependent time delay is studied in this paper. The purpose is to design linear filters with specified order lower than the given system such that the filtering error system is regular, impulse free, mean-square exponentially stable, and satisfied a prescribed H_∞ performance index. One major contribution of the paper is that sufficient conditions are characterized in terms of linear matrix inequalities (LMIs) and a coupling non-convex rank constraint. Moreover, an explicit parametrization of all desired reduced-order filters is presented when these inequalities are feasible.