Abstract
This chapter uses the structure graph to describe the direct interactions among the signals. This graph is used to analyse the redundancies which can be exploited for fault diagnosis and control reconfiguration.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliographical notes
A. L. Dulmage and N. S. Mendelsohn. Covering of bi-partite graphs. Canada J. Math, 10: 517–534, 1958.
A. L. Dulmage and N. S. Mendelsohn. A structure theory of bi-partite graphs of finite exterior dimension. Trans. of Royal Soc. Canada, Section III, 53: 1–13, 1959.
J. Edmonds. Paths, trees and flowers. Canad. J. of Math, 17: 449–467, 1965.
J. E. Hoperoft and R. M. Karp. An algorithm for maximum matchings in bipartite graphs. S. I. A. M. J. Comp, 2: 225–231, 1973.
H. W. Kuhn. The Hungarian method for the assignment problem. Naval Research Logistics Quarterly2:83–97, 1956
L. R. Ford and D. R. Fulkerson. Maximal flow through a network. Canad. J. Math, 8: 399–404, 1956.
L. R. Ford and D. R. Fulkerson. A simple algorithm for finding maximal network flows and an application to the hitchcock problem. Canad. J. Math, 9: 210–218, 1957.
C. Berge. Two Theorems in Graph Theory. Princeton University, 1957.
M. Gondran and M. Minoux. Graphes et algorithmes. Coll. Direction des Etudes et Recherches EDF Eyrolles (3rd edition)(3d edition), 1995
G. Chartrand and O. R. Oellermann. Applied and algorithmic graph theory. Pure and applied mathematics. McGraw-Hill Inc., 1993.
D. V. Steward. On an approach to techniques for the analysis of the structure of large systems of equations. SIAM Review, 4: 321–342, 1962.
F. Harary. A graph theoretic approach to matrix inversion by partitioning Nu-mer. Math.4:128–135, 1962
C. T. Lin. Structural controllability. IEEE Trans. AC, AC-19, 3:201–208, 1974
C. T. Lin. System structure and minimal structure controllability.IEEE Trans.AC-22(5):855–862, 1977
K. Golver and L. M. Silverman. Characterisation of structural controllability IEEE Trans. AC AC-214:534–537, 1976
K. Murota. Systems analysis by graphs and matroïds. Structural solvability and controllability. Springer Verlag 1987
C. Schizas and F. J. Evans. A graph theoretic approach to multivariables control system design. Automatica, 17 (2): 371–377, 1981.
K. J. Reinschke. Multivariable Control: A Graph Theoretic Approach. Springer-Verlag, 1988.
A. Georgiou and C. A. Floudas. Structural analysis and synthesis of feasible control systems: Theory and applications. Chemical Engineering Research and Design, 67: 600–618, 1989.
X. Lin, M. O. Tade and R. B. Newell. Output structural controllability condition for the synthesis of control systems for chemical processes. Int. J. Systems Sci, 22: 107–132, 1991.
M. Morari and G. Stephanopoulos. Studies in the synthesis of control structures for chemical processes. Part ii: Structural aspects and the synthesis of alternative feasible control. AIChE Journal, 40(2): 232–246, 1980.
J. Unger, A. Kröner and W. Marquardt. Structural analysis of differential-algebraic equation systems–theory and applications. Computers and Chemical Engineering, 19 (8): 867–882, 1995.
A. Leitold and K. M. Hangos. Structural solvability analysis of dynamic process models. Computers and Chemical Engineering, 25: 1633–1646, 2001.
M. Staroswiecki and P. Declerck. Analytical redundancy in non-linear interconnected systems by means of structural analysis. IFAC/IMACS/IFORS Conf. AIPAC’ 89, Nancy, France, 1989.
P. Declerck and M. Staroswiecki. Characterisation of the canonical components of a structural graph for fault detection in large scale industrial plants Proc. European Control ConferenceGrenoble 1991
J. Gertler and D. Singer. A new structural framework for parity space equation based failure detection and isolation. Automatica, 26: 381–388, 1990.
M. -0. Cordier, P. Dague, F. Lévy, M. Dumas, J. Montmain, M. Staroswiecki, and L. Travé-Massuyès. AI and automatic control approaches of model-based diagnosis: links and underlying hypothesis. IFAC Symposium on Fault Detection Supervision and Safety for Technical Processes, pp. 274–279, Budapest 2000.
M. Staroswiecki, J. P. Cassar and P. Declerck. A structural framework for the design of FDI in large scale industrial plants. In [150].
R. Izadi-Zamanabadi, P. Amann, M. Blanke, V. Cocquempot, G. L. Gissinger, E. C. Kerrigan, T. F. Lootsma, J. M. Perronne and G. Schreier. Ship propulsion control and reconfiguration in [3], pp. 285–315.
Y. Iwasaki and H. A. Simon. Causality in device behaviour.Artificial Intelligence29:3–32, 1986
M. Tagina, J. -P. Cassar, G. Dauphin-Tanguy and M. Staroswiecki. Bond-graph models for direct generation of formal fault detection systems. Systems Analysis Modelling and Simulation J, 23: 1–17, 1996.
T. Carpentier, R. Litwak and J. -Ph. Cassar. Criteria for the evaluation of FDI systems - Application to sensors location IFAC Symposium on Fault Detection Supervision and Safety for Technical Processespp. 1083–1088, Hull 1997
M. Meyer, J. -M. Le Lann, B. Koehret and M. Enjalbert. Optimal selection of sensor location on a complex plant using a graph oriented approach Computer Chemical Eng,18:535–540, 1994.
A. L. Gehin, M. Assas and M. Staroswiecki. Structural analysis of system reconfigurability. IFAC Symposium on Fault Detection Supervision and Safety for Technical Processes, pp. 292–297, Budapest 2000.
M. Staroswiecki, S. Attouche and M. L. Assas. A graphic approach for reconfigurability analysis. 10th Int. Workshop on Principles of Diagnosis, Loch Awe 1999.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Blanke, M., Kinnaert, M., Lunze, J., Staroswiecki, M. (2003). Structural analysis. In: Diagnosis and Fault-Tolerant Control. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05344-7_5
Download citation
DOI: https://doi.org/10.1007/978-3-662-05344-7_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-05346-1
Online ISBN: 978-3-662-05344-7
eBook Packages: Springer Book Archive