Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2015, Article ID 361631, 16 pages
http://dx.doi.org/10.1155/2015/361631
Research Article

Hierarchical Fault Diagnosis for a Hybrid System Based on a Multidomain Model

1Sino-French Engineer School, Beihang University, No. 37 XueYuan Road, Beijing 1001091, China
2School of Reliability and System Engineering, Beihang University, No. 37 XueYuan Road, Beijing 1001091, China

Received 20 May 2014; Revised 11 August 2014; Accepted 31 August 2014

Academic Editor: Hamid R. Karimi

Copyright © 2015 Jiming Ma and Jianbin Guo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. van der Schaft and H. Schumacher, An Introduction to Hybrid Dynamical Systems, vol. 251 of Lecture Notes in Control and Information Sciences, Springer, London, UK, 2000. View at MathSciNet
  2. J. Lunze and F. Lamnabhi-Lagarrigue, Handbook of Hybrid Systems Control: Theory, Tools, Applications, Cambridge University Press, Cambridge, UK, 2009.
  3. G. K. Fourlas, K. J. Kyriakopoulos, and N. J. Krikelis, “Fault diagnosis of hybrid systems,” in Proceedings of the 20th IEEE International Symposium on Intelligent Control (ISIC '05) and the 13th Mediterranean Conference on Control and Automation (MED '05), pp. 832–837, June 2005. View at Publisher · View at Google Scholar · View at Scopus
  4. R. Nouailletas, E. Mendes, and D. Koenig, “Hybrid modeling and identification of dry friction systems, application to a clutch actuator,” Control Engineering Practice, vol. 18, no. 8, pp. 904–917, 2010. View at Publisher · View at Google Scholar · View at Scopus
  5. S. Narasimhan and G. Biswas, “Model-based diagnosis of hybrid systems,” IEEE Transactions on Systems, Man, and Cybernetics Part A: Systems and Humans, vol. 37, no. 3, pp. 348–361, 2007. View at Publisher · View at Google Scholar · View at Scopus
  6. T. A. Henzinger, “The theory of hybrid automata,” in Proceedings of the 11th IEEE Symposium on Logic in Computer Science (LICS '96), pp. 278–292, New Brunswick, NJ, USA, July, 1996. View at Publisher · View at Google Scholar
  7. M. F. Karoui, H. Alla, and A. Chatti, “Monitoring of dynamic processes by rectangular hybrid automata,” Nonlinear Analysis: Hybrid Systems, vol. 4, no. 4, pp. 766–774, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. R. Mohammadi, S. Hashtrudi-Zad, and K. Khorasani, “Diagnosis of hybrid systems: part 2—residual generator selection and diagnosis in the presence of unreliable residual generators,” in Proceedings of the IEEE International Conference on Systems, Man and Cybernetics (SMC '09), pp. 3340–3345, October 2009. View at Publisher · View at Google Scholar · View at Scopus
  9. L. Tromp, A. Benveniste, and M. Basseville, “Fault detection and isolation in hybrid systems: a petri-net approach,” in Proceedings of the 14th IFAC World Congress, pp. 79–84, Beijing, China, 1999.
  10. V. Calderaro, C. N. Hadjicostis, A. Piccolo, and P. Siano, “Failure identification in smart grids based on Petri net modeling,” IEEE Transactions on Industrial Electronics, vol. 58, no. 10, pp. 4613–4623, 2011. View at Publisher · View at Google Scholar · View at Scopus
  11. K. Renganathan and V. Bhaskar, “Performance evaluation and model checking in systems modeled as Hybrid Petri nets,” Applied Mathematical Modelling, vol. 36, no. 8, pp. 3941–3947, 2012. View at Publisher · View at Google Scholar · View at Scopus
  12. F. Zhao, X. Koutsoukos, H. Haussecker, J. Reich, and P. Cheung, “Monitoring and fault diagnosis of hybrid systems,” IEEE Transactions on Systems, Man, and Cybernetics Part B: Cybernetics, vol. 35, no. 6, pp. 1225–1240, 2005. View at Publisher · View at Google Scholar · View at Scopus
  13. X. D. Zhao, H. Liu, J. F. Zhang, and H. Y. Li, “Multiple-mode observer design for a class of switched linear systems,” IEEE Transactions on Automation Science and Engineering, 2013. View at Publisher · View at Google Scholar · View at Scopus
  14. X. Zhao, X. Liu, S. Yin, and H. Li, “Improved results on stability of continuous-time switched positive linear systems,” Automatica, vol. 50, no. 2, pp. 614–621, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  15. A. Philippot, M. Sayed-Mouchaweh, V. Carré-Ménétrier, and B. Riera, “Generation of candidates' tree for the fault diagnosis of discrete event systems,” Control Engineering Practice, vol. 19, no. 9, pp. 1002–1013, 2011. View at Publisher · View at Google Scholar · View at Scopus
  16. S. A. Arogeti, D. Wang, and C. B. Low, “Mode identification of hybrid systems in the presence of fault,” IEEE Transactions on Industrial Electronics, vol. 57, no. 4, pp. 1452–1467, 2010. View at Publisher · View at Google Scholar · View at Scopus
  17. M. Gholami, H. Schioler, and T. Bak, “Active fault diagnosis for hybrid systems based on sensitivity analysis and adaptive filter,” in Proceedings of the 20th IEEE International Conference on Control Applications (CCA '11), pp. 1171–1177, September 2011. View at Publisher · View at Google Scholar · View at Scopus
  18. S. Yin, X. Yang, and H. R. Karimi, “Data-driven adaptive observer for fault diagnosis,” Mathematical Problems in Engineering, vol. 2012, Article ID 832836, 21 pages, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  19. J. Y. Yu, G. H. Sun, and H. R. Karimi, “Fault-reconstruction-based cascaded sliding mode observers for descriptor linear systems,” Mathematical Problems in Engineering, vol. 2012, Article ID 623426, 20 pages, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  20. M. Chadli, S. Aouaouda, H. R. Karimi, and P. Shi, “Robust fault tolerant tracking controller design for a VTOL aircraft,” Journal of the Franklin Institute, vol. 350, no. 9, pp. 2627–2645, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  21. H. R. Karimi, “Robust synchronization and fault detection of uncertain master-slave systems with mixed time-varying delays and nonlinear perturbations,” International Journal of Control, Automation and Systems, vol. 9, no. 4, pp. 671–680, 2011. View at Publisher · View at Google Scholar · View at Scopus
  22. M. J. Daigle, X. D. Koutsoukos, and G. Biswas, “A qualitative event-based approach to continuous systems diagnosis,” IEEE Transactions on Control Systems Technology, vol. 17, no. 4, pp. 780–793, 2009. View at Publisher · View at Google Scholar · View at Scopus
  23. P. Bhowal, D. Sarkar, S. Mukhopadhyay, and A. Basu, “Fault diagnosis in discrete time hybrid systems—a case study,” Information Sciences, vol. 177, no. 5, pp. 1290–1308, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  24. J. Lunze, “Diagnosis of quantized systems based on a timed discrete-event model,” IEEE Transactions on Systems, Man, and Cybernetics Part A: Systems and Humans, vol. 30, no. 3, pp. 322–335, 2000. View at Publisher · View at Google Scholar · View at Scopus
  25. X. D. Koutsoukos, P. J. Antsaklts, J. A. Stiver, and M. D. Lemmon, “Supervisory control of hybrid systems,” Proceedings of the IEEE, vol. 88, no. 7, pp. 1026–1049, 2000. View at Publisher · View at Google Scholar · View at Scopus
  26. V. Sanz, A. Urquia, F. E. Cellier, and S. Dormido, “Modeling of hybrid control systems using the DEVSLib Modelica library,” Control Engineering Practice, vol. 20, no. 1, pp. 24–34, 2012. View at Publisher · View at Google Scholar · View at Scopus
  27. P. Fritzson and P. Bunus, “Modelica-A general object-oriented language for continuous and discrete-event system modeling and simulation,” in Proceedings of the 35th Annual Simulation Symposium, 2002.
  28. H. Elmqvist, S. E. Mattsson, and M. Otter, “Modelica—a language for physical system modeling, visualization and interaction,” in Proceedings of the IEEE International Symposium on Computer Aided Control System Design, pp. 630–639, August 1999. View at Scopus
  29. V. Sanz, A. Urquia, F. E. Cellier, and S. Dormido, “System modeling using the parallel DEVS formalism and the Modelica language,” Simulation Modelling Practice and Theory, vol. 18, no. 7, pp. 998–1018, 2010. View at Publisher · View at Google Scholar · View at Scopus
  30. C. Nytsch-Geusen, “The use of the UML within the modelling process of modelica-models,” in Proceedings of the 1st International Workshop on Equation-Based Object-Oriented Languages and Tools (EOOLT '07), pp. 1–11, Berlin, Germany, July 2007. View at Scopus
  31. C. Martin-Villalba, A. Urquia, and S. Dormido, “Development of virtual-labs for education in chemical process control using Modelica,” Computers and Chemical Engineering, vol. 39, pp. 170–178, 2012. View at Publisher · View at Google Scholar · View at Scopus
  32. S. Mortada, A. Zoughaib, D. Clodic, and C. Arzano-Daurelle, “Dynamic modeling of an integrated air-to-air heat pump using Modelica,” International Journal of Refrigeration, vol. 35, no. 5, pp. 1335–1348, 2012. View at Publisher · View at Google Scholar · View at Scopus
  33. G. A. Carpenter and S. Grossberg, “ART 2: self-organization of stable category recognition codes for analog input patterns,” Applied Optics, vol. 26, no. 23, pp. 4919–4930, 1987. View at Publisher · View at Google Scholar
  34. G. A. Carpenter, S. Grossberg, and D. B. Rosen, “ART 2-A: an adaptive resonance algorithm for rapid category learning and recognition,” Neural Networks, vol. 4, no. 4, pp. 493–504, 1991. View at Publisher · View at Google Scholar · View at Scopus
  35. O. Moseler and R. Isermann, “Application of model-based fault detection to a brushless DC motor,” IEEE Transactions on Industrial Electronics, vol. 47, no. 5, pp. 1015–1020, 2000. View at Publisher · View at Google Scholar · View at Scopus
  36. K. Yu, F. Yang, H. Guo, and J. Xu, “Fault diagnosis and location of brushless DC motor system based on wavelet transform and artificial neural network,” in Proceedings of the International Conference on Electrical Machines and Systems (ICEMS '10), pp. 1048–1052, October 2010. View at Scopus
  37. R. Isermann, Fault-Diagnosis Applications: Model Based Condition Monitoring: Actuators, Drives, Machinery, Plants, Sensors, and Fault-Tolerant System, Springer, New York, NY, USA, 2011.