Algebraic fault detection and isolation for parabolic distributed–parameter systems using modulation functions

Abstract

In this article an algebraic approach to the fault detection for parabolic distributed-parameter systems is described. The modulation functions approach is used to obtain an algebraic fault detection equation, that only depends on known signals and the fault. Assuming piecewise constant faults, this allows the detection of the absolute fault value without any system approximation. Furthermore, different additional requirements, such as fault isolation or decoupling of disturbances can be met. The corresponding modulation functions are obtained by the realization of a set-point change for their signal models. Hence, the modulation functions can be determined using existing results to the motion planning and open-loop control for distributed-parameter systems. The proposed fault detection and isolation method is illustrated for a faulty heat conductor.