<p>This paper concentrates on the finite-time event-triggered control problem for switched delay systems with exogenous disturbance. In the considered system, the controller only updates the system state and the system switching signal at the triggering instants, which causes the asynchronous switching phenomenon between the subsystems and candidate subcontrollers. First, to overcome the limitations of periodic sampling and continuous event-triggered sampling, we employ a switching event-triggered mechanism with waiting time, which can save communication resources while avoiding the occurrence of Zeno behavior. However, it is worth noting that when considering the time delay and waiting time, the traditional Lyapunov functional method is no longer applicable. Therefore, we construct a switching multiple Lyapunov–Krasovskii functional that depends on the waiting time and the time delay. Then, by combining the functional with the mode-dependent average dwell time method, we establish sufficient conditions to guarantee the finite-time boundedness for the closed-loop system. Furthermore, the solutions of the controller gains and the event-triggered parameters are provided. Finally, a water pollution model is included to confirm the proposed theory.</p>

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Finite-Time Event-Triggered Control of Switched Delay Systems

  • Juexiu Liu,
  • Wang Yue-E

摘要

This paper concentrates on the finite-time event-triggered control problem for switched delay systems with exogenous disturbance. In the considered system, the controller only updates the system state and the system switching signal at the triggering instants, which causes the asynchronous switching phenomenon between the subsystems and candidate subcontrollers. First, to overcome the limitations of periodic sampling and continuous event-triggered sampling, we employ a switching event-triggered mechanism with waiting time, which can save communication resources while avoiding the occurrence of Zeno behavior. However, it is worth noting that when considering the time delay and waiting time, the traditional Lyapunov functional method is no longer applicable. Therefore, we construct a switching multiple Lyapunov–Krasovskii functional that depends on the waiting time and the time delay. Then, by combining the functional with the mode-dependent average dwell time method, we establish sufficient conditions to guarantee the finite-time boundedness for the closed-loop system. Furthermore, the solutions of the controller gains and the event-triggered parameters are provided. Finally, a water pollution model is included to confirm the proposed theory.