ℋ℞ filtering of uncertain LPV systems with time-delays

This paper deals with the filtering of uncertain LPV systems with time-delays. First we provide a bounded real lemma for LPV time-delay systems having a more useful structure to the filtering problem than the bounded real lemma directly obtained from the parameter dependent Lyapunov-Krasovskii functional. Using the latter result we derive sufficient conditions (in terms of parametrized LMIs) for the existence of memoryless and memory ℋ_∞ robust LPV filters. The effectiveness of the proposed approach is shown compared to existing ones in the literature.