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This paper deals with output feedback impulse control under set-membership uncertainty where the control realization consists of a sequence of δ-impulses. It indicates solution schemes based on generalized Dynamic Programming relations of the HJB type and suggests recommendation for computation. The problem is then generalized to the case of high-order “fast” controls which solve the terminal control problem in arbitrary small time. Finally an output feedback control problem is solved where communication signals for the available noisy measurements arrive at Poisson instants of time. Numerical examples are demonstrated.