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Practical stability of integral-based event-triggered control systems

Hao Yu  Fei Hao  
【摘要】:This paper studies the practical stabilization of nonlinear event-triggered control systems in the presence of bounded disturbance.An integral-based triggering condition is employed to generate the events.The event is triggered when the integral of the absolute measurement error,between the latest sampled and the current states,violates a time-varying threshold.It is proved that the closed-loop nonlinear system is practically stable,i.e.,the state of the system is bounded with a bound depending on the initial state,the bound of the disturbances,and the parameters in the triggering conditions.Then,a positive estimate of minimum inter-event time is provided to exclude the Zeno behaviors.Moreover,for the integral-based event-triggered control,it is shown that a pre-specified upper bound of inter-event times is necessary to ensure the practical stability.Finally,a numerical example is provided to illustrate the efficiency and the feasibility of the obtained results.

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