A structural approach to model following by output feedback in hybrid linear systems with state jumps

The topic of this work is model following by output feedback in hybrid linear systems with state jumps. In particular, the hybrid linear systems addressed are allowed to exhibit a direct algebraic link from the control input to the regulated output — henceforth referred to as the control feedthrough. Moreover, this study considers the problem of model following from a structural point of view in the sense that it is focused on achieving that the output of the compensated system perfectly follows that of the model, provided that both the compensated system and the model have zero initial conditions, for all the admissible input signals. A necessary and sufficient condition for the existence of a solution to the problem dealt with is proven.