Finite-Time Control of Linear Systems with Asynchronous Switching and External Disturbances: An Observer-Based Event-Triggered Strategy

This article studies the finite-time control problem of asynchronous switched linear systems by using observer-based event-triggered control strategy and average dwell time method. By designing a continuous event-triggered mechanism grounded in observer states and introducing parameters as upper bounds for triggering intervals, communication resources can be conserved while mitigating system performance degradation due to prolonged controller inactivity. Unlike previous research, this paper takes into account not only asynchronous switching phenomena but also the cases with no trigger and multiple triggers in a system switching interval are analyzed respectively. Through the application of the multi-Lyapunov function method and decoupling technique, finite-time boundedness and input–output finite-time stability of the closed-loop system can be achieved. Furthermore, state-feedback controller gains can be designed by developing an algorithm. By simultaneously establishing a strictly positive lower limit for the interval, we effectively prevent the occurrence of the Zeno phenomenon. Finally, simulation results demonstrate the validity of the conclusions presented in this paper.