This paper presents a new class of event triggering mechanisms (ETMs) for event-triggered control systems, called dynamic ETMs. These mechanisms introduce an internal dynamic variable, which allows for more flexible and efficient control strategies compared to traditional static ETMs. The stability of the closed-loop system is analyzed, and the influence of design parameters on the decay rate of the Lyapunov function is discussed. For linear systems, a lower bound on the inter-execution time is established, and the impact of these parameters on a quadratic integral performance index is studied. Simulation results are provided to illustrate the theoretical claims.
Dynamic ETMs use an internal dynamic variable that is updated based on the system's state and other parameters. This variable helps in determining when the system should trigger an event, allowing for more efficient use of computational and communication resources. The paper shows that the minimum inter-execution time for dynamic ETMs cannot be smaller than that for static ETMs. Additionally, the decay rate of the Lyapunov function can be adjusted using the parameters of the dynamic ETM.
For linear systems, the paper provides specific results on the stability of the closed-loop system and the influence of parameters on the performance. It also discusses the choice of parameters to tune the system's behavior and improve performance. The paper concludes that dynamic ETMs offer a good balance between inter-execution time and performance index, making them suitable for various applications in event-triggered control systems.This paper presents a new class of event triggering mechanisms (ETMs) for event-triggered control systems, called dynamic ETMs. These mechanisms introduce an internal dynamic variable, which allows for more flexible and efficient control strategies compared to traditional static ETMs. The stability of the closed-loop system is analyzed, and the influence of design parameters on the decay rate of the Lyapunov function is discussed. For linear systems, a lower bound on the inter-execution time is established, and the impact of these parameters on a quadratic integral performance index is studied. Simulation results are provided to illustrate the theoretical claims.
Dynamic ETMs use an internal dynamic variable that is updated based on the system's state and other parameters. This variable helps in determining when the system should trigger an event, allowing for more efficient use of computational and communication resources. The paper shows that the minimum inter-execution time for dynamic ETMs cannot be smaller than that for static ETMs. Additionally, the decay rate of the Lyapunov function can be adjusted using the parameters of the dynamic ETM.
For linear systems, the paper provides specific results on the stability of the closed-loop system and the influence of parameters on the performance. It also discusses the choice of parameters to tune the system's behavior and improve performance. The paper concludes that dynamic ETMs offer a good balance between inter-execution time and performance index, making them suitable for various applications in event-triggered control systems.