Self-Triggered Impulsive Control for a Class of Nonlinear Systems With Exogenous Disturbances

This article focuses on the self-triggered impulsive control (STIC) problem of nonlinear systems subject to exogenous disturbances. Specifically, with the construction of a novel self-triggered mechanism (STM) containing the information of state and disturbance, the next release time of impulsive control signal is attained accompanied with each update of the impulsive control task, without real-time monitoring of the state. On the strength of the suggested STM and by means of Lyapunov-based approaches, some sufficient conditions are proposed to guarantee the input-to-state practical stability (ISpS) for the considered system, while avoiding the possible Zeno phenomenon. Especially, the design of mechanism and control gain is explored for a class of nonlinear control systems with the help of matrix inequalities. Two examples are provided to demonstrate the feasibility of the proposed results.