Measurable disturbance decoupling for impulsive switching linear systems

This work deals with the problem of annihilating the effect of a disturbance accessible for measurement on the output of an impulsive switching linear system: namely, a hybrid system whose state is subject to abrupt discontinuities at the same times when its dynamics are subject to switches. Jumping and switching are assumed to be instantaneously detectable and to satisfy a minimum dwell time requisite. The better exploitation of the information available on the disturbance is achieved through feedforward compensation. A necessary and sufficient condition for the solvability of the problem is proven. In particular, the proof of sufficiency is constructive, since it outlines the synthesis procedure for the sought compensator.