Self-Triggered Impulsive Control for a Class of Nonlinear Systems With Exogenous Disturbances
针对受外源干扰的非线性系统，提出一种自触发脉冲控制方法，通过设计包含状态和干扰信息的触发机制，在避免Zeno现象的同时保证系统的输入到状态实际稳定性，并用矩阵不等式给出控制增益设计方法。
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.