Auxiliary Signal Design for Fault Detection in Nonlinear Systems

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dc.contributor.advisor Stephen L. Campbell, Committee Chair en_US
dc.contributor.advisor Negash Medhin, Committee Member en_US
dc.contributor.advisor Ralph Smith, Committee Member en_US
dc.contributor.advisor Hien Tran, Committee Member en_US Sweetingham, Kelly Ann en_US 2010-04-02T18:30:50Z 2010-04-02T18:30:50Z 2008-04-03 en_US
dc.identifier.other etd-03262008-114651 en_US
dc.description.abstract Recently, research has developed in the area of active fault detection and model identification algorithms for linear systems. These algorithms compute an auxiliary input signal which guarantees fault detection, assuming a bounded noise. This dissertation addresses the question of when the previous linear theory can be applied to nonlinear systems. Several case studies are presented to verify that linearizations can in fact produce results in the nonlinear case. Two results are proven about the use of linearizations. The first result gives a parameter which scales the entire problem. Using this parameter, the scaled auxiliary signal, along with a scaled noise bound, will guarantee fault detection in the nonlinear problem. The second result shows how to compute the acceptable noise bound for the nonlinear problem using the exact auxiliary signal from the linearized problem. Also presented is a computational study to verify these two results. Two secondary projects are also presented in this dissertation. The first is a comparison of two different linear algorithms used to compute the optimal auxiliary signal. The second is a port of one of the existing pieces of fault detection software into Matlab. This new software is included, as well as a discuss of the complications of the port. en_US
dc.rights I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dis sertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to NC State University or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report. en_US
dc.subject test signal en_US
dc.subject multimodel identification en_US
dc.subject active en_US
dc.title Auxiliary Signal Design for Fault Detection in Nonlinear Systems en_US PhD en_US dissertation en_US Applied Mathematics en_US

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