Periodic event-triggered state-feedback and output-feedback control for linear systems

This paper investigates the periodic event-triggered control for linear systems. Both state-feedback and output-feedback controllers are considered. The resulting closed-loop systems are modeled as delay systems and event conditions are constructed in more general forms. The stability analyses rely on the proposed Lyapunov functional and the improving free weighing matrix method. Criteria co-designing the feedback gain matrices and the event condition parameters are established to guarantee the asymptotic stability of the closed-loop systems. Moreover, we can obtain the maximum verifying period by solving a generalized eigenvalue problem. Simulation examples verify the less conservativeness and efficiency of the theoretical results.