Finite-time boundary stabilization of the reaction-diffusion system with switching time-delay input. (January 2022)

• Record Type: Journal Article
• Authors: Ghaderi, Najmeh; Keyanpour, Mohammad; Mojallali, Hamed
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 44:Number 2(2022)
• Page Start: 353
• Page End: 367
• Publication Date: 2022-01
• Subjects: Backstepping control approach -- finite-time stabilization -- RD systems with switching time-delay input -- cascaded PDE-PDE system -- switching system; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/01423312211032545
• Languages: English
• ISSNs: 0142-3312

Abstract

The paper is devoted to the study of boundary finite-time control for a reaction-diffusion (RD) system with switching time-delayed input. The RD system with switching time-delay input is converted to a switching system of RD equation cascaded with a transport equation with non-delay boundary input. Next, a novel switching controller is designed for the cascaded RD-transport system based on the backstepping technique, and this causes the closed-loop system to be convergence in a finite-time. Simulation results are provided to exhibit the effectiveness of the proposed method.