Robust sliding mode boundary control for uncertain reaction–diffusion systems

• Published in: Journal of the Franklin Institute Vol. 362; no. 6; p. 107623
• Main Authors: Zhou, Wei-Jie, Wu, Kai-Ning, Liu, Xiao-Zhen
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.04.2025
• Subjects: Boundary control; Observer; Reaction–diffusion systems; Robust asymptotic stability; Sliding mode control; Boundary control; Robust asymptotic stability; Reaction–diffusion systems; Sliding mode control; Observer

This paper investigates the robust sliding mode boundary stabilization for uncertain reaction–diffusion systems (URDSs). Firstly, to drive the state trajectories to reach equilibrium within the sliding phase, a specified sliding mode surface (SMS) is constructed. Emphasis is placed on designing a su...