Periodic event-triggered control of nonlinear systems using overapproximation techniques. (August 2018)

• Record Type: Journal Article
• Authors: Borgers, D.P.; Postoyan, R.; Anta, A.; Tabuada, P.; Nešić, D.; Heemels, W.P.M.H.
• Is Part Of: Automatica. Volume 94(2018)
• Page Start: 81
• Page End: 87
• Publication Date: 2018-08
• Subjects: Event-triggered control -- Digital implementation -- Sampling periods -- Polytopic overapproximation -- Continuous time systems -- Nonlinear systems; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2018.04.019
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: In event-triggered control, the control task consisting of sampling the plant's output and updating the control input is executed whenever a certain event function exceeds a given threshold. The event function typically needs to be monitored continuously, which is difficult to realize in digital implementations. This has led to the development of periodic event-triggered control (PETC), in which the event function is only evaluated periodically. In this paper, we consider general nonlinear continuous event-triggered control (CETC) systems, and present a method to transform the CETC system into a PETC system. In particular, we provide an explicit sampling period at which the event function is evaluated and we present a constructive procedure to redesign the triggering condition. The latter is obtained by upper-bounding the evolution of the event function of the CETC system between two successive sampling instants by a linear time-invariant system and then by using convex overapproximation techniques. Using this approach, we are able to preserve the control performance guarantees (e.g., asymptotic stability with a certain decay rate) of the original CETC system.