Periodic Event-Trigger Control for Continuous-Time LPV Systems

This paper proposes a periodic event-triggered control (PETC) strategy for continuous-time linear parameter-varying (LPV) systems. Considering a sampled-data LPV control law and a parameter-dependent looped-functional to deal with the sampling effects, LMI conditions to design the parameters of the triggering criterion leading to the stability of the closed-loop system under the PETC strategy are proposed. These conditions are then incorporated into a convex optimization problem in order to design the triggering rule parameters aiming at reducing the frequency of control signal updates. A numerical example illustrates the proposed method.