Finite-time boundary stabilization of the reaction-diffusion system with switching time-delay input-Reference-Cited by-同舟云学术

Finite-time boundary stabilization of the reaction-diffusion system with switching time-delay input

Published:2021-08-03 Issue:2 Volume:44 Page:353-367
ISSN:0142-3312
Container-title:Transactions of the Institute of Measurement and Control
language:en
Short-container-title:Transactions of the Institute of Measurement and Control

Author:

Ghaderi Najmeh¹^ORCID,Keyanpour Mohammad¹²^ORCID,Mojallali Hamed³²^ORCID

Affiliation:

1. Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Iran

2. Center of Excellence for Mathematical Modeling, Optimization and Combinatorial Computing (MMOCC), University of Guilan, Iran

3. Electrical Engineering Department, Faculty of Engineering, University of Guilan, Iran

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.

Publisher

SAGE Publications

Subject

Instrumentation

Link

http://journals.sagepub.com/doi/pdf/10.1177/01423312211032545

Reference38 articles.

1. Sufficient Conditions for Finite-Time Stability of Impulsive Dynamical Systems

2. Finite-Time Stability of Continuous Autonomous Systems

3. Adaptive trajectory tracking despite unknown input delay and plant parameters

4. Control of PDE Systems with Delays

5. Null Controllability and Finite Time Stabilization for the Heat Equations with Variable Coefficients in Space in One Dimension via Backstepping Approach

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