Detection and isolation of actuator faults for a class of non-linear systems with application to electric motors drives

Author(s): D.R. Espinoza-Trejo and D.U. Campos-Delgado
DOI: 10.1049/iet-cta.2008.0377

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Author(s): D.R. Espinoza-Trejo ¹ and D.U. Campos-Delgado ²
- Affiliations: 1: Coordinación Académica Región Altiplano, UASLP, Matehuala, México
  2: Facultad de Ciencias, UASLP, San Luis Potosi, México
Source: Volume 3, Issue 10, October 2009, p. 1317 – 1329
DOI: 10.1049/iet-cta.2008.0377 , Print ISSN 1751-8644, Online ISSN 1751-8652

In this study, the diagnosis of actuator faults is addressed for a class of non-linear systems and applied to electric motors drives. The residuals are synthesised using a model-based strategy by applying a differential geometry perspective. According to the dynamic structure of the systems considered in this work, it is deduced that the observability co-distribution built for this class of systems can be independent of the state (constant) under certain conditions, so that the resulting coordinates transformations in the state and output spaces are linear mappings. Consequently, the dynamic structure of the resulting subsystems is not altered after the coordinates transformation, and departing from these subsystems, dedicated observers can be designed for residual generation. One important property of the analysis presented in the paper is that the studied dynamical structure can be fitted to several electrical motors. Hence simulation results are illustrated for a three-phase induction motor drive application that verify the ideas presented in this work.

References

1. 1)
  - D.U. Campos Delgado , D.R. Espinoza-Trejo , E. Palacios . Fault-tolerant control in variable speed drives: a survey. IET Electric Power Appl. , 2 , 121 - 134
2. 2)
  - R. Ribeiro , C. Jacobina , E. da Silva , A. Lima . Fault-tolerant voltage-fed PWM inverter AC motor drive systems. IEEE Trans. Ind. Electron. , 2 , 439 - 446
3. 3)
  - Jiang, B., Chowdhury, F.: `Observer-based fault diagnosis for a class of non-linear systems', Proc. 2004 American Control Conference, June 2004, Boston, Massachusetts.
4. 4)
  - C. De Persis , A. Isidori . On the observability codistributions of a non-linear system. Syst. Control Lett. , 5 , 297 - 304
5. 5)
  - C. Aboky , G. Sallet , J.C. Vivalda . Observers for Lipschitz non-linear systems. Int. J. Control , 3 , 204 - 212
6. 6)
  - W. Chen , M. Saif . Observer-based strategies for actuator fault detection, isolation and estimation for certain class of uncertain non-linear systems. IET Control Theory Appl. , 6 , 1672 - 1680
7. 7)
  - R. Hermann , A. Krener . Nonlinear controllability and observability. IEEE Trans. Autom. Control , 5 , 728 - 740
8. 8)
  - C. Edwards , C.P. Tan . Sensor fault tolerant control using sliding mode observers. Control Eng. Prac. , 8 , 897 - 908
9. 9)
  - R. Krishnan . (2001) Electric motor drives: modeling, analysis, and control.
10. 10)
  - R. Peuget , S. Courtine , J. Rognon . Fault detection and isolation on a PWM inverter by knowledge-based model. IEEE Trans. Ind. Appl. , 6 , 1318 - 1326
11. 11)
  - H.K. Khalil . (1988) Nonlinear systems.
12. 12)
  - J. Rodríguez , P. Hammond , J. Pontt , R. Musalem , P. Lezana , M. Escobar . Operation of a medium-voltage drive under faulty conditions. IEEE Trans. Ind. Electron. , 4 , 1080 - 1085
13. 13)
  - P.C. Krause , O. Wasynczuk , S.D. Sudhoff . (2002) Analyse of electric machinery and drive systems.
14. 14)
  - Chen, W., Saif, M.: `An Actuator fault isolation estrategy for linear and non-linear systems', IEEE American Control Conf. (ACC 2005), 8–10 June 2005, Portland, OR, USA.
15. 15)
  - A. Isidori . (1989) Nonlinear control systems.
16. 16)
  - M.E.H. Benbouzid , G.B. Kliman . What stator current processing-based technique to use for induction motor rotor fault diagnosis?. IEEE Trans. Energy Conv. , 2 , 238 - 244
17. 17)
  - Masrur, M.A., Chen, Z., Zhang, B., Lu Murphey, Y.: `Model-based fault diagnosis in electric drive inverters using artificial neural network', IEEE Power Engineering Society General Meeting, June 2007.
18. 18)
  - R. Rajamani . Observers for Lipschitz non-linear systems. IEEE Trans. Autom. Control , 3 , 397 - 401
19. 19)
  - W.M. Wonham . (1985) Linear multivariable control: a geometric approach.
20. 20)
  - D. Kastha , B. Bose . Investigation of fault modes of voltage-fed inverter system for induction motor drive. IEEE Trans. Ind. Appl. , 4 , 1028 - 1038
21. 21)
  - Jiang, B., Staroswiecki, M.: `Actuator fault tolerant control in non-linear continuous-time systems', IEEE Proc. Sixth World Congress on Intelligent Control and Automation, 21–23 June 2006, Dalian, China.
22. 22)
  - Jiang, B., Staroswiecki, M., Cocquempot, V.: `Robust observer based fault diagnosis for a class of non-linear systems with uncertainty', Proc. 40th IEEE Conf. Decision and Control, December 2001, Orlando, Florida, USA.
23. 23)
  - B. Walcott , S. Zak . State observation of non-linear uncertain dynamical systems. IEEE Trans. Autom. Control , 2 , 166 - 170
24. 24)
  - R.L.A. Ribeiro , C.B. Jacobina , E.R.C. Silva . Fault detection of open-switch damage in voltage-fed PWM motor drive systems. IEEE Trans. Power Electron. , 2 , 587 - 593
25. 25)
  - S. Nandi , H.A. Toliyat , X. Li . Condition monitoring and fault diagnosis of electrical motors – a review. IEEE Trans. Energy Conv. , 4 , 719 - 729
26. 26)
  - Schreier, G., Frank, P.M.: `Fault tolerant ship propulsion control: sensor fault detection using a non-linear observer', European Control Conf., 1999, Karlsruhe, Germany.
27. 27)
  - D. Diallo , M. El Hechemi Benbouzid , D. Hamad , X. Pierre . Fault detection and diagnosis in an induction machine drive: a pattern recognition aproach based on concordia stator mean current vector. IEEE Trans. Energy Convers. , 3 , 512 - 519
28. 28)
  - R. Mattone , A. De Luca . Relaxed fault detection and isolation: an application to a non-linear case study. Automatica , 1 , 109 - 116
29. 29)
  - M. Correa , C. Jacobina , E. da Silva , A. Lima . An induction motor drive system with improved fault tolerance. IEEE Trans. Ind. Appl. , 3 , 873 - 879
30. 30)
  - R. Isermann . (2006) Fault-diagnosis systems: an introduction from fault detection to fault tolerance.
31. 31)
  - Chen, W., Saif, M.: `Actuator fault diagnosis for affine non-linear systems with unknown inputs', IEEE Conf. Decision and Control (CDC 2007), 12–14 December 2007, New Orleans, LA, USA.
32. 32)
  - X. Zhang , T. Parisini , M.M. Polycarpou . Sensor bias fault isolation in a class of non-linear systems. IEEE Trans. Autom. Control , 3 , 370 - 376
33. 33)
  - A. Isidori , A. Krener , C. Gori-Giorgi , S. Monaco . Nonlinear decoupling via feedback: a differential geometric approach. IEEE Trans. Autom. Control , 2 , 331 - 345
34. 34)
  - C. De Persis , A. Isidori . A geometric approach to non-linear fault detection and isolation. IEEE Trans. Autom. Control , 6 , 853 - 865
35. 35)
  - X.G. Yan , C. Edwards . Nonlinear robust fault reconstruction and estimation using a sliding mode observer. Automatica , 9 , 1605 - 1614
36. 36)
  - Kwak, S., Toliyat, H.: `Fault-tolerant topologies and switching function algorithms for three-phase matrix converter based AC motor drives against open and short phase failures', Industrial Electronics Society, IECON 02, 28th Ann. Conf. IEEE, 2002, p. 886–891.

Detection and isolation of actuator faults for a class of non-linear systems with application to electric motors drives

Detection and isolation of actuator faults for a class of non-linear systems with application to electric motors drives

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