Self-Triggered Impulsive Control for Nonlinear Stochastic Systems

Abstract

Dear Editor, This letter deals with the stabilization problem of nonlinear stochastic systems via self-triggered impulsive control (STIC), where the timing of impulsive control actions is not dependent on continuous state monitoring. In contrast to the existing self-triggered control method, novel self-triggered mechanism (STM) is proposed by incorporating a waiting time for stabilizing impulses. This allows for direct prediction of the next impulsive instant. Furthermore, the resulting algorithm is straightforward to implement and application. Finally, an example of the consensus for linear stochastic multiagent systems is presented to demonstrate the effectiveness of the proposed STIC schemes.