Time-varying dynamic controllers for discrete-time linear systems with input saturation
Abstract
The present paper proposes a method for computing time-varying dynamic output feedback controllers for discrete-time linear systems subject to input saturation. The method is based on a locally valid polytopic representation of the saturation term. From this representation, it is shown that, at each sampling time, the matrices of the stabilizing time-varying controller can be computed from the current system output and from constant matrices obtained as a solution of some linear matrix inequalities. Optimization schemes allowing to address issues regarding the maximization of the basin attraction as well as the performance improvement of the closed-loop system, are proposed.
