Sampled-data control under magnitude and rate saturating actuators

Summary This paper addresses the problems of stability analysis and stabilization of sampled‐data control systems under magnitude and rate saturating actuators. A position‐type feedback modeling for the actuator is considered. Based on the use of a quadratic Lyapunov function, a looped‐functional, and generalized sector relations (to cope with nested saturation functions), LMI‐based conditions are derived to assess local (regional) and global stability of the closed‐loop systems under aperiodic sampling strategies and also to synthesize stabilizing sampled‐data state feedback control laws. These conditions are then incorporated in convex optimization problems aiming at maximizing estimates of the region of attraction of the origin or maximizing the inter‐sampling time for which the stability is ensured regionally or, when possible, globally. Copyright © 2016 John Wiley & Sons, Ltd.