Dynamic feedforward compensation of measurable signals in discrete-time linear switching systems

This work deals with rejection of signals accessible for measurement in discrete-time linear switching systems, with the requirement that the compensated system be quadratically stable under arbitrary switching. The synthesis of a feedforward dynamic switching compensator is first presented. A combined switching control scheme, also including measurement dynamic feedback, is then introduced with the aim of extending the proposed methodology to switching plants which are quadratically stabilizable by linear state feedback and by linear output injection. The methodology developed is based on the combined use of geometric approach tools and linear matrix inequalities.