Time-triggered and event-triggered control of switched affine systems via a hybrid dynamical approach

Abstract : This paper focuses on the design of both periodic time-and event-triggered control laws of switched affine systems using a hybrid dynamical system approach. The novelties of this paper rely on the hybrid dynamical representation of this class of systems and on a free-matrix min-projection control, which relaxes the structure of the usual Lyapunov matrix-based min-projection control. This contribution also presents an extension of the usual periodic time-triggered case to the event-triggered one, where the control updates are permitted only when a particular event is detected. Together with the definition of an appropriate optimization problem, a stabilization result is formulated to ensure the uniform global asymptotic stability of an attractor for both types of controllers, which is a neighborhood of the desired equilibrium. Finally, the proposed method is evaluated through a numerical example.
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https://hal.laas.fr/hal-02336728
Contributor : Carolina Albea Sanchez <>
Submitted on : Tuesday, October 29, 2019 - 9:56:33 AM
Last modification on : Wednesday, November 6, 2019 - 3:34:15 PM

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  • HAL Id : hal-02336728, version 1

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Carolina Albea Sanchez, Alexandre Seuret. Time-triggered and event-triggered control of switched affine systems via a hybrid dynamical approach. 2019. ⟨hal-02336728⟩

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