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Finite-time event-triggered control for a class of cascade switched affine nonlinear systems
Authors:Hongsheng Hu  Shipei Huang
Affiliation:1. National-Local Joint Engineering Laboratory for Digitalize Electrical Design Technology, Wenzhou University, Wenzhou 325035, China

Contribution: ​Investigation, Software, Validation, Writing - original draft;2. National-Local Joint Engineering Laboratory for Digitalize Electrical Design Technology, Wenzhou University, Wenzhou 325035, China

Abstract: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.
Keywords:average dwell time  cascade switched systems  event-triggered control  finite-time boundedness  switched affine systems
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