By Prof. Dr. Mogens Blanke, Prof. Dr. Michel Kinnaert, Prof. Dr.-Ing. Jan Lunze, Prof. Dr. Marcel Staroswiecki (auth.)
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Additional resources for Diagnosis and Fault-Tolerant Control
12). This controller makes it possible to hold the faulty system in operation. When adapting the controller parameter to the faulty plant, the set Be cannot be chosen arbitrarily but restrictions concerning the realisability of the control law has to be satisfied. These restrictions bring about further difficulties into the fault-tolerant control problem. There may be faults , for which the behaviour Bf does not overlap with Bspec. Then a new control configuration has to be chosen, which changes the signals under consideration and, hence, the behaviour of the plant.
This model is a representation of the plant behaviour 8. The idea of consistency-based diagnosis should be explained now by means of Fig. 2 on page 4. Assume that the current I/O pair (U, Y) is represented by a point, say point A in the figure . If the system is faultless (and the model is correct) then A lies in the set 8. However, if the system is faulty, it generates a different output Y for the given input U. If the new I/O pair (U, Y) is represented by point C , which is outside of 8 then the fault is detectable.
If the behaviour Bf overlaps with the specified behaviour Bspec , a controller may be found that restricts this set to a new set Bf n Be which satisfies the relation Bf n Be C Bspec (d. Fig. 12). This controller makes it possible to hold the faulty system in operation. When adapting the controller parameter to the faulty plant, the set Be cannot be chosen arbitrarily but restrictions concerning the realisability of the control law has to be satisfied. These restrictions bring about further difficulties into the fault-tolerant control problem.
Diagnosis and Fault-Tolerant Control by Prof. Dr. Mogens Blanke, Prof. Dr. Michel Kinnaert, Prof. Dr.-Ing. Jan Lunze, Prof. Dr. Marcel Staroswiecki (auth.)