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Title: A geometric approach to fault detection and isolation in multidimensional systems
Author: Maleki, Sepehr
ISNI:       0000 0004 5356 1039
Awarding Body: University of Southampton
Current Institution: University of Southampton
Date of Award: 2015
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In this thesis the problem of fault detection and isolation for two subclasses of multidimensional systems, i.e., 3-D systems and repetitive processes is investigated by extending the geometric approach and notions of input containing conditioned invariants developed and introduced for standard 1-D linear systems to be applicable in multidimensional systems. The problem is investigated by designing an asymptotic observer that asymptotically reconstructs the system state. In case of a failure, the observer continues to reconstruct the state normally, however, the system produces a wrong state resulting in deviation of the system state from the estimated state in the observer. Comparing the magnitude of this deviation against a predefined threshold indicates whether a failure has occurred in the system or not. The fault detection and isolation problem for the aforementioned systems is formulated in a geometric language and necessary and sufficient conditions are developed for the solvability of this problem, and constructive methods to design observers that uniquely can isolate the failure by exploiting the subspaces that the error lies onto. Finally, the efficiency of the developed technique is examined by using examples for each system.
Supervisor: Rogers, Eric Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: TK Electrical engineering. Electronics Nuclear engineering