Disturbance Decoupling with Stability for Linear Impulsive Systems .

The paper deals with the problem of decoupling the output of an impulsive linear system from a disturbance input by means of a stabilizing state feedback. Geometric methods are used to characterize the decoupling requirement from a structural point of view and in terms of feedback stabilizability. Assuming that the length of the time intervals between consecutive impulsive variations of the state, or jumps, is lower bounded by a positive All rights reserved. Disturbance Decoupling with Stability for Linear Impulsive Systems Anna Maria Perdon Elena Zattoni Giuseppe Conte Department of Information Engineering, Polytechnic University of Marche, Via Brecce Bianche, 60131 Ancona, Italy. E-mail: perdon@univpm.it, gconte@univpm.it Department of Electrical, Electronic, and Information Engineering “G. Marconi”, Alma Mater Studiorum - University of Bologna, Viale Risorgimento 2, 40136 Bologna, Italy. E-mail: elena.zattoni@unibo.it Abstract: The paper deals with the problem of decoupling the output of an impulsive linear system from a disturbance input by means of a stabilizing state feedback. Geometric methods are used to characterize the decoupling requirement from a structural point of view and in terms of feedback stabilizability. Assuming that the length of the time intervals between consecutive impulsive variations of the state, or jumps, is lower bounded by a positive constant, necessary and sufficient conditions for the existence of solutions are given and discussed.