Abstract
In this paper, we consider the optimal sensors placement problem for faults detection and isolation using a novel structural and qualitative approach. This approach is based on the conversion of Bond Graph to Digraph representation of a structural system. When the fault detection and isolation of an existing system’s sensors are impossible or uncertain, a reconfiguration sensor placement of this system should be reconsidered. This paper proposes how this reconfiguration takes place by recovering all missing or redundant parts of the system. This novel approach is illustrated over a thermo-fluid application.
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Alem S and Benazzouz D 2011 Sensor placement optimization for the isolation of detectable faults, in Proceedings of CMSM’2011, ID174 96 p, Sousse Tunisia
Alem S and Benazzouz D 2013 Optimal sensor placement for fault detection and isolation by the structural adjacency matrix. Int. J. Phys. Sci. 8 (6): 225–230. doi: 10.5897/IJPS12.547
Alem S, Benazzouz D, and Ichalalen B 2013 Structural analysis for fault detection and isolation using the matching rank algorithm for residual generation: application on an industrial water heating system. Control. Eng. Appl. Inform. 15 (2): 20–29
Bell A C and Martens H R 1974 A comparison of linear graphs and bond graphs in the modeling process, Automatic Control Conference
Benazzouz D, Touati Y, and Ouled Bouamama B 2009 Dynamic supervision in mechatronic systems using bond graph approach multiphysics 2009 conference, Polyttech’Lille, 9-11 December
Birkett S 1990 Combinatorial analysis of dynamical systems, Thesis, Univ. of Ontario
Blanke M, Kinnaert M, Lunze J, and Staroswiecki M 2003 Diagnosis and fault-tolerant control. Springer
Breedveld P 1984 Essential gyrators and equivalence rules for 3-port junction structure. J. Franklin Inst. 318 (2): 77–89
Commault C and Dion J M 2003 Optimal sensor location for fault detection and isolation in linear structured systems European Control Conference, ECC 03, 1-4, Cambridge, Angleterre, Sept
Commault C, Dion J M, and Perez A 1991 Disturbance rejection for structured systems. IEEE Trans. Automat. Control, 36: 884–887
Dion J M and Commault C 1993 Feedback decoupling of structured systems. IEEE Trans. Automat. Control, 38: 1132–1135
Kamopp D and Rosenberg C 1975 System dynamics: A unified approach. New York: Wiley
König D 1931 Graphak es matrixik. Muter. Fiziol. Lapok. 38116–119
Lin C T 1974 Structural controllability. IEEE Trans. Automat. Control 19: 201–208
Maurya M R, Rengaswamy R, and Venkatasubramanian V 2004 Application of signed digraphs-based analysis for fault diagnosis of chemical process flow sheets engineering. Appl. Artif. Intell., 17: 501–518
Medjaher K, Samantaray A K, Ould Bouamama B, and Staroswiecki M 2006 Supervision of an industrial steamgenerator. Part II: Online implementation. Control. Eng. Pract. 14: 85–96
Mellal Mohamed Arezki et al 2011 Modeling and simulation of mechatronic system to integrated design of supervision: Using a bond graph approach. App. Mech. Mater. 86: 467
Ort R and Martens H R 1974 A topological procedure for converting a bond graph to linear graph. Dynam. Systems Meas. Control.307–314
Ould-Bouamama B, Medjaher K, Samantaray A, and Dauphin-Tanguy G 2005 Model builder using functional and bond graph tools for FDI design. Control. Eng. Pract. (CEP) J. 13: 875–89
Ould Bouamama B, Medjaher K, Samantaray A K, and Staroswiecki M 2006 Supervision of an industrial steamgenerator. Part I: Bond graph modelling. Control. Eng. Pract. 14: 71–83
Paynter M 1961 Analysis and design of engineering systems: MIT Press
Perelson A S and Oster G F 1976 Bond graphs and linear graphs. J. Franklin Inst. 302 (2): 159–185
Rahmani A, Sueur C, and Dauphin-Tanguy C 1997 Approche des Bond Graphs pour I’ Analyse Structurelle des Systèmes Linéaires. Linear Algebra Appl. 259: 101–131
Samantaray A K and Ould Bouamama B 2008 Model-based process supervision : A bond graph approach. - (Advances in industrial control) 670.4’27’015115 ISBN-13: 9781848001589, London: Springer Verlag
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The authors thank the Associate Editors and anonymous reviewers for their valuable suggestions.
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ALEM, S., BENAZZOUZ, D. Bond graph to digraph conversion: A sensor placement optimization for fault detection and isolation by a structural approach. Sadhana 39, 1151–1164 (2014). https://doi.org/10.1007/s12046-014-0276-z
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DOI: https://doi.org/10.1007/s12046-014-0276-z