Sliding mode boundary control for exponential stabilization of linear parabolic distributed parameter systems subject to external disturbance

• Published in: International journal of robust and nonlinear control Vol. 33; no. 15; pp. 9364 - 9390
• Main Authors: Bao, Chunxia, Cui, Baotong, Lou, Xuyang, Wu, Wei, Jia, Jiajia
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 01.10.2023
• Subjects: Boundary conditions; Boundary control; Control systems design; Controllers; Distributed parameter systems; Sliding mode control; Stabilization

In this article, we are concerned with the exponential stabilization of parabolic distributed parameter systems with Neumann/mixed boundary conditions and external disturbance. To deal with the bounded disturbance, a sliding mode boundary control scheme is adopted based on the backstepping method. F...