Disturbance Decoupling by Dynamic Output Feedback for Linear Impulsive Systems with Periodic Jumps

In this paper, we consider the problem of decoupling the output of a given system from a disturbance input by means of a dynamic output feedback for the class of linear impulsive systems with periodic jumps. By introducing a suitable notion of hybrid (C, A, B)-pair, the solvability of the problem is completely characterized by means of a structural condition. The additional requirement of stability, in a suitable sense, of the closed-loop system is also considered and a sufficient condition for the solution of the problem in this case is found. Viable algorithmic procedures for constructing solutions, if any exist, are also devised.