Finite-time event-triggered control for a class of cascade switched affine nonlinear systems

This paper is concerned with the finite-time boundedness (FTB) problem of a class of cascade switched affine nonlinear systems. In order to avoid unnecessary waste of network communication and Zeno behavior, a dynamical event-triggered scheme is proposed, which is more general than some existing event-triggered schemes with a common parameter matrix. By using the average dwell time method and multiple Lyapunov function technologies, sufficient conditions for the existence of controller gains are first proposed such that the closed-loop system is finite-time bounded with a finite-time disturbance attenuation performance. It is also proved that the Zeno phenomenon is excluded. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed method.

Automated summary

This paper investigates the finite-time boundedness problem of a class of cascade switched affine nonlinear systems. A dynamical event-triggered scheme is proposed to avoid unnecessary waste of network communication and achieve Zeno behavior exclusion. Sufficient conditions for the existence of controller gains are derived using average dwell time method and multiple Lyapunov function technologies, which ensure finite-time boundedness and finite-time disturbance attenuation performance. The effectiveness of the proposed method is illustrated through a numerical example.