SUMMARYThis 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.

Summary This paper focuses on the synthesis of sampled‐data linear parameter‐varying (LPV) control laws. In particular, the problem of L2 disturbance attenuation for continuous‐time LPV systems under aperiodic sampling is addressed. It is explicitly assumed that the LPV controller is updated only at the sampling instants while the plant parameter can evolve continuously between two sampling instants. The proposed approach is based on a polytopic model for the LPV system and the use of a parameter‐dependent looped‐functional to deal with the aperiodic sampling effects. From these ingredients, conditions in a quasi‐LMI form (ie, they are LMIs provided a scalar parameter is fixed) are derived to compute a stabilizing control law ensuring an upper bound on the closed‐loop system L2‐gain. These conditions are then incorporated to convex optimization problems aiming at either minimizing the L2‐gain upper bound or maximizing the allowable sampling interval for which stability is ensured. Numerical examples illustrate the proposed methodology.

This paper addresses the problem of stability analysis of sampled-data control of linear systems in the presence of input magnitude and rate saturation. A position-type feedback modeling for the actuator is considered. Based on the use of a discrete-time quadratic Lyapunov function, a loopedfunctional and generalized sector relations (to cope with nested saturation functions), LMI conditions are derived to assess local (regional) and global stability of the sampled-data closed-loop systems under aperiodic sampling strategies.

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