Time-triggered and event-triggered control of switched affine systems via a hybrid dynamical approach. (August 2021)

• Record Type: Journal Article
• Authors: Albea, Carolina; Seuret, Alexandre
• Is Part Of: Nonlinear analysis. Volume 41(2021)
• Publication Date: 2021-08
• Subjects: Switched affine systems -- Periodic time-triggered control -- Aperiodic event-triggered control -- Hybrid dynamical systems -- Lyapunov stability -- Dwell time; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2021.101039
• Languages: English
• ISSNs: 1751-570X

Abstract

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 implementation to the event-triggered one, where the control input 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 operating point. Finally, the proposed method is evaluated through a numerical example.