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A geometric approach to fault detection and isolation in multidimensional systems

A geometric approach to fault detection and isolation in multidimensional systems
A geometric approach to fault detection and isolation in multidimensional systems
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.
Maleki, Sepehr
5ddca73c-dbd7-40e3-88d7-3d34b9b6e022
Maleki, Sepehr
5ddca73c-dbd7-40e3-88d7-3d34b9b6e022
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72

(2015) A geometric approach to fault detection and isolation in multidimensional systems. University of Southampton, Physical Sciences and Engineering, Doctoral Thesis, 119pp.

Record type: Thesis (Doctoral)

Abstract

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.

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Published date: February 2015
Organisations: University of Southampton

Identifiers

Local EPrints ID: 379271
URI: http://eprints.soton.ac.uk/id/eprint/379271
PURE UUID: b34cab2d-ce69-431f-9b7d-c8354377f620
ORCID for Eric Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 22 Jul 2015 13:51
Last modified: 14 Jun 2019 00:40

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