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Fault diagnosis of nonlinear systems using structured augmented state models

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Abstract

This paper presents an internal model approach for modeling and diagnostic functionality design for nonlinear systems operating subject to single-and multiple-faults. We therefore provide the framework of structured augmented state models. Fault characteristics are considered to be generated by dynamical exosystems that are switched via equality constraints to overcome the augmented state observability limiting the number of diagnosable faults. Based on the proposed model, the fault diagnosis problem is specified as an optimal hybrid augmented state estimation problem. Sub-optimal solutions are motivated and exemplified for the fault diagnosis of the well-known three-tank benchmark. As the considered class of fault diagnosis problems is large, the suggested approach is not only of theoretical interest but also of high practical relevance.

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Correspondence to Jochen Aßfalg.

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Jochen Aßfalg was born in Biberach a.d. Riß, Germany in 1978. He received his Diploma in mechanical engineering from the University of Stuttgart, Germany, in 2004. He is currently an external Ph.D. student of the Institute for Systems Theory and Automatic Control at the University of Stuttgart, Germany, working as a researchengineer at the Department of Mechatronic Systems Engineering at the Robert Bosch GmbH, Germany.

His research interests include the development of new methods for the fault diagnosis and fault-tolerant control of nonlinear systems. His applied research interests include mechatronic and automotive systems.

Frank Allgöwer studied engineering cybernetics and applied mathematics at the University of Stuttgart and the University of California at Los Angeles respectively. He received his Ph.D. degree in chemical engineering from the University of Stuttgart. Prior to his present appointment he held a professorship in the Electrical Engineering Department at ETH Zurich. He also held visiting positions at Caltech, the NASA Ames Research Center, the DuPont Company and the University of California at Santa Barbara. He is the director of the Institute for Systems Theory and Automatic Control and a professor in the Mechanical Engineering Department at the University of Stuttgart in Germany.

His research interests include the development of new methods for the analysis and control of nonlinear systems and the identification of nonlinear systems. His applied research interests range from chemical process control and control of mechatronic systems to AFM control and systems biology.

Prof. Allgöwe is editor for the journal Automatica, associate editor of the Journal of Process Control and the European Journal of Control and is on the editorial board of several other journals. He currently serves on the scientific council of the German Society for Measurement and Control, is on the Board of Governors of the IEEE Control System Society, is chairman of the IFAC Technical Committee on Nonlinear Systems and member of the IFAC Policy Committee. He has been organizer or co-organizer of several international conferences and has published over 150 scientific articles. He received several prizes for his work including the Leibniz prize, which is the most prestigious prize in science and engineering awarded by the German National Science Foundation (DFG).

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Aßfalg, J., Allgöwer, F. Fault diagnosis of nonlinear systems using structured augmented state models. Int J Automat Comput 4, 141–148 (2007). https://doi.org/10.1007/s11633-007-0141-1

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  • DOI: https://doi.org/10.1007/s11633-007-0141-1

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