Event-triggered gain scheduling of reaction-diffusion PDEs

Autor:	Karafyllis, Iasson, Espitia, Nicolas, Krstic, Miroslav
Rok vydání:	2020
Předmět:	Mathematics - Optimization and Control Electrical Engineering and Systems Science - Systems and Control
Druh dokumentu:	Working Paper
Popis:	This paper deals with the problem of boundary stabilization of 1D reaction-diffusion PDEs with a time- and space- varying reaction coefficient. The boundary control design relies on the backstepping approach. The gains of the boundary control are scheduled under two suitable event-triggered mechanisms. More precisely, gains are computed/updated on events according to two state-dependent event-triggering conditions: static-based and dynamic-based conditions, under which, the Zeno behavior is avoided and well-posedness as well as exponential stability of the closed-loop system are guaranteed. Numerical simulations are presented to illustrate the results. Comment: 20 pages, 5 figures, submitted to SICON
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2005.13945 Zobrazit plný text záznamu View this record from Arxiv