Abstract
This paper proposes a model-based event-triggered control strategy, which is utilized to achieve the input-to-state stability for a scalar continuous time nonlinear system. Due to the processing delay, the sampled feedback signal cannot be transmitted immediately, i.e., the transmission time instant of the feedback signal is not always equal to its sampling time instant. The gap between them measures how much information can be carried. A sufficient bit rate condition to stabilize a scalar continuous time nonlinear system is derived. The condition is only determined by the parameter of Lipschitz condition and the bound of processing delay. Compared with the periodic sampling control strategy, much less bits are used by the event-triggered control one for the particular case of stabilizing a scalar continuous time linear system. Simulations are done to verify the effectiveness of the stabilizing bit rate condition.
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