Local stabilization of linear systems under amplitude and rate saturating actuators

This paper addresses the problem of local stabilization of linear systems subject to control amplitude and rate saturation. Considering the actuator represented by a first-order system subject to input and state saturation, a condition for the stabilization of an a priori given set of admissible initial states is formulated from certain saturation nonlinearities representation and quadratic stability results. From this condition an algorithm based on the iterative solution of LMI-problems is proposed in order to compute the control law