A COMPLETE PROCEDURE FOR RESIDUAL GENERATION AND EVALUATION WITH APPLICATION TO A HEAT-EXCHANGER

In this paper, we will build up the link between parity relation desig n and residual evaluation via generalized likelihood ratio (GLR) test, To this end, the so-called single-sensor parity relation (SSPR) and s ingle-actuator parity relation (SAPR) are refined for stochastic syste ms in frequency domain by including a whitening filter, This result is also extended to the generalized parity relations in order to detect any failure mode. The proposed design procedure not only achieves fail ure detection and isolation, but also generates a special residual for m which can be evaluated by a GLR test. Besides, a comprehensive summa ry of the GLR test with rules of thumb to select the design parameters is provided. The effectiveness of the proposed procedure is illustrat ed by processing measured data from a pilot heat exchanger to detect s ensor faults, and by performing a simulation study to detect actuator faults.