Backstepping‐based sliding mode fault‐tolerant control for linear interconnected parabolic distributed parameter systems

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.