Open AccessBackstepping‐based sliding mode fault‐tolerant control for linear interconnected parabolic distributed parameter systems
Author(s) -
Xu Yongyuan,
Yang Hao,
Jiang Bin,
Cocquempot Vincent
Publication year - 2020
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2019.1333
Subject(s) - backstepping , control theory (sociology) , actuator , invertible matrix , computer science , mode (computer interface) , transformation (genetics) , fault tolerance , sliding mode control , fault (geology) , nonlinear system , control engineering , engineering , mathematics , control (management) , adaptive control , artificial intelligence , distributed computing , physics , geology , biochemistry , seismology , chemistry , quantum mechanics , pure mathematics , gene , operating system
This study considers the fault‐tolerant control (FTC) issue for a class of linear interconnected parabolic distributed parameter systems by utilising the backstepping‐based sliding mode control technique. The original interconnected system, which suffers from process/actuator faults and matched disturbances, is converted into a stable target system by using an invertible backstepping transformation. Two types of kernel functions, the distinct diffusivity and the same diffusivity, are obtained. A sliding mode FTC scheme is developed to eliminate the destabilising effects caused by process/actuator faults and matched disturbances. An industrial application example is presented to validate the applicability and the relevance of the developed methodology.