Event-triggered stabilisation of switched nonlinear systems with actuator saturation: a Hamiltonian approach

Qi Zhang, Weiwei Sun and Chaoqian Qiao

International Journal of Systems Science, 2023, vol. 54, issue 4, 849-866

Abstract: This paper presents a Hamiltonian approach to study the event-triggered stabilisation problem of switched affine nonlinear systems with actuator saturation. The key idea is to obtain an event-triggered control strategy by developing a constant Hamiltonian realisation method, an average dwell time (ADT) scheme and a nonlinear sector method. The proposed strategy can ensure the asymptotic stability of the plant without violating actuator saturation, even if there exists asynchronous phenomenon between the subsystems and their candidate controllers. The results presented in this paper remove the common assumption that the system's mode and controller's mode have to be synchronised and that the triggering condition has to be monitored continuously. This extends available results for switched nonlinear systems and reduces energy consumptions. Finally, an example is provided to verify the validity of the proposed results.

Date: 2023
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DOI: 10.1080/00207721.2022.2147279

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