Mode Recognition of Hybrid Dynamical System A Bond Graph Approach

Abstract

In this paper, we develop a methodology to identify the current mode of Hybrid Dynamical System (HDS) based on Bond Graph (BG) approach.The technique is also able to detect and to isolate the continuous and discrete faults affected the system. Analytical Redundancy Relations (ARR) based methods are used to generate the fault indicators namely residuals for the identification of  the current mode.An illustrative example shows the efficiencies of the proposed approach.

References

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14. Branicky, V. S. Borkar, and S. K. Mitter. A unfied framework for hybrid control: Model and optimal control theory. IEEE Transaction on Automatic Control, 43(1), pp.31–45, 1998.
15. Antsaklis P.J. A brief Introduction to the Theory and Applications of Hybrid Systems. Special issue on hybrid systems: Theory and applications. Proceeding of the IEEE. Vol. 88. N°. 7. pp. 879-889, 2000.
16. Cocquempot, V., EL Mezyani, T., & Staroswiecki, M. Fault detection and isolation for hybrid systems using structured parity residuals. Asian Control Conference, ASCC’2004, Melbourne, Australie.
17. Shorten, R., Wirth, F., Mason, O., Wulff, K., & King, C. Stability criteria for switched and hybrid systems. SIAM Review, vol. 49, N°. 7, pp. 545-592, 2007.
18. Belkhiat, D. E. C., Messai, N., & Manamanni, N. Design of a robust fault detection based observer for linear switched systems with external disturbances.
19. Nonlinear Analysis: Hybrid Systems, vol 5, N°. 2, pp. 206- 219, 2011.
20. Mosterman P., Hybrsim a modelling and simulation environment for hybrid bond graphs.
21. Proceedings of the I MECH E Part I, Journal of Systems and Control Engineering, Part I, 216(1):35–46, February 2002.
22. Zanzouri, N., Surveillance des systèmes hybrides par approche bond graph couplée à des modèles discrets.
23. Thèse de doctorat, Université de Tunis- El Manar, ENIT 2003.
24. Paynter, M. Analysis and Design of Engineering Systems, MIT Press, 1961, Boston.
25. Rosenberg R.C., Karnopp D.C. Introduction to physical System Dynamics. Series in mechanical engineering, Mac Graw Hill, 1983.
26. Wissem Aouadi, Diagnostic des Systèmes Hybrides, Mémoire de master, Faculté des Sciences de Tunis, Janvier 2013.