Trade-off design for fault detection of DPSs using integral transformations

Abstract

The fault detection problem for parabolic or biharmonic PDEs is solved. Additive and multiplicative actuator, sensor and process faults without knowing the signal form can be taken into account. In addition, disturbances with a finite signal energy on a moving horizon can be present and are considered by a threshold. Integral transformations are used to derive a residual generator and the threshold. The corresponding integral kernels are determined by a flatness-based realization of a nontrivial setpoint change for a DPS. Moreover, a trade-off design based on L2 norms is systematically achieved for the fault detection. The efficiency of this design approach is demonstrated with simulations of a faulty cantilever beam.