Fault-tolerant control strategy for actuator faults using LPV techniques: Application to a two degree of freedom helicopter

Saúl Montes de Oca; Vicenç Puig; Marcin Witczak; Łukasz Dziekan

International Journal of Applied Mathematics and Computer Science (2012)

  • Volume: 22, Issue: 1, page 161-171
  • ISSN: 1641-876X

Abstract

top
In this paper, a Fault Tolerant Control (FTC) strategy for Linear Parameter Varying (LPV) systems that can be used in the case of actuator faults is proposed. The idea of this FTC method is to adapt the faulty plant instead of adapting the controller to the faulty plant. This approach can be seen as a kind of virtual actuator. An integrated FTC design procedure for the fault identification and fault-tolerant control schemes using LPV techniques is provided as well. Fault identification is based on the use of an Unknown Input Observer (UIO). The FTC controller is implemented as a state feedback controller and designed using polytopic LPV techniques and Linear Matrix Inequality (LMI) regions in such a way as to guarantee the closed-loop behavior in terms of several LMI constraints. To assess the performance of the proposed approach, a two degree of freedom helicopter is used.

How to cite

top

Saúl Montes de Oca, et al. "Fault-tolerant control strategy for actuator faults using LPV techniques: Application to a two degree of freedom helicopter." International Journal of Applied Mathematics and Computer Science 22.1 (2012): 161-171. <http://eudml.org/doc/208092>.

@article{SaúlMontesdeOca2012,
abstract = {In this paper, a Fault Tolerant Control (FTC) strategy for Linear Parameter Varying (LPV) systems that can be used in the case of actuator faults is proposed. The idea of this FTC method is to adapt the faulty plant instead of adapting the controller to the faulty plant. This approach can be seen as a kind of virtual actuator. An integrated FTC design procedure for the fault identification and fault-tolerant control schemes using LPV techniques is provided as well. Fault identification is based on the use of an Unknown Input Observer (UIO). The FTC controller is implemented as a state feedback controller and designed using polytopic LPV techniques and Linear Matrix Inequality (LMI) regions in such a way as to guarantee the closed-loop behavior in terms of several LMI constraints. To assess the performance of the proposed approach, a two degree of freedom helicopter is used.},
author = {Saúl Montes de Oca, Vicenç Puig, Marcin Witczak, Łukasz Dziekan},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {fault-tolerant control; linear parameter varying; virtual actuator; linear matrix inequality; fault-tolerant control (FTC); linear parameter varying (LPV) system},
language = {eng},
number = {1},
pages = {161-171},
title = {Fault-tolerant control strategy for actuator faults using LPV techniques: Application to a two degree of freedom helicopter},
url = {http://eudml.org/doc/208092},
volume = {22},
year = {2012},
}

TY - JOUR
AU - Saúl Montes de Oca
AU - Vicenç Puig
AU - Marcin Witczak
AU - Łukasz Dziekan
TI - Fault-tolerant control strategy for actuator faults using LPV techniques: Application to a two degree of freedom helicopter
JO - International Journal of Applied Mathematics and Computer Science
PY - 2012
VL - 22
IS - 1
SP - 161
EP - 171
AB - In this paper, a Fault Tolerant Control (FTC) strategy for Linear Parameter Varying (LPV) systems that can be used in the case of actuator faults is proposed. The idea of this FTC method is to adapt the faulty plant instead of adapting the controller to the faulty plant. This approach can be seen as a kind of virtual actuator. An integrated FTC design procedure for the fault identification and fault-tolerant control schemes using LPV techniques is provided as well. Fault identification is based on the use of an Unknown Input Observer (UIO). The FTC controller is implemented as a state feedback controller and designed using polytopic LPV techniques and Linear Matrix Inequality (LMI) regions in such a way as to guarantee the closed-loop behavior in terms of several LMI constraints. To assess the performance of the proposed approach, a two degree of freedom helicopter is used.
LA - eng
KW - fault-tolerant control; linear parameter varying; virtual actuator; linear matrix inequality; fault-tolerant control (FTC); linear parameter varying (LPV) system
UR - http://eudml.org/doc/208092
ER -

References

top
  1. Apkarian, P., Gahinet, P. and Becker, G. (1995). Self-scheduled H control of linear parameter-varying systems: A design example, Automatica 31(9): 1251-1261. Zbl0825.93169
  2. Banerjee, A., Arkun, Y., Pearson, R. and Ogunnaike, B. (1995). H control of nonlinear processes using multiple linear models, Proceedings of the European Control Conference, Rome, Italy, pp. 2671-2676. 
  3. Biannic, J.M. (1996). Commande Robuste des Systèmes à Paramètres Variables. Application en Aéronautique, Ph.D. thesis, Study and Research Centre of Toulouse, DERA Department, Toulouse. 
  4. Blanke, M., Izadi-Zamanabadi, R., Bogh, S.A. and Lunau, C.P. (1997). Fault-tolerant control systems-A holistic view, Control Engineering Practice 5(5): 693-702. 
  5. Blanke, M., Kinnaert, M., Lunze, J. and Staroswiecki, M. (2006). Diagnosis and Fault-Tolerant Control, Springer-Verlag, Berlin/Heidelberg. Zbl1126.93004
  6. Chen, J., Patton, R.J. and Chen, Z. (1998). An LMI approach to fault-tolerant control of uncertain systems, IEEE International Symposium on Intelligent Control, Gaithersburg, MD, USA, Vol. 1, pp. 175-180. 
  7. Chilali, M. and Gahinet, P. (1996). H design with pole placement constraints: An LMI approach, IEEE Transactions on Automatic Control 41(3): 358-367. Zbl0857.93048
  8. Dziekan, Ł. (2011). Neuro-Fuzzy-Based Takagi-Sugeno Modelling in Fault-Tolerant Control, Lecture Notes in Control and Computer Science, Vol. 16, University of Zielona Góra Press, Zielona Góra. Zbl1291.93176
  9. Fee (1998). Twin Rotor MIMO System Advanced Teaching Manual 1 (33-007-4M5). 
  10. Franklin, G.F., Powell, J.D. and Workman, M.L. (1997). Digital Control of Dynamic Systems, 3rd Edn., Addison Wesley Longman, London. Zbl0697.93002
  11. Ghersin, A.S. and Sanchez-Pena, R.S. (2002). LPV control of a 6-DOF vehicle, IEEE Transactions on Control Systems Technology 10(6): 883-887. 
  12. Hallouzi, R., Verdult, V., Babuska, R. and Verhaegen, M. (2005). Fault detection and identification of actuator faults using linear parameter varying models, 16th IFAC Triennial World Congress, Prague, Czech Republic, pp. 119-124. 
  13. Henrion, L.R.D., Bernussou, J. and Vary, F. (2005). LPV modeling of a turbofan engine, Preprints of the 16th World Congress of the International Federation of Automatic Control, Prague, Czech Republic, pp. 526-531. 
  14. Hui, S. and Żak, S.H. (2005). Observer design for systems with unknown inputs, International Journal of Applied Mathematics and Computer Science 15(4): 101-117. Zbl1127.93018
  15. Leith, D. and Leithead, W. (1999). Survey of gainscheduling analysis design, International Journal of Control, 73(11): 1001-1025. Zbl1006.93534
  16. Liang, Y., Liaw, D. and Lee, T. (2000). Reliable control of nonlinear systems, IEEE Transactions on Automatic Control 45(4): 706-710. Zbl0969.49018
  17. Lunze, J. (2006). Control reconfiguration after actuator failures: The generalised virtual actuator, Proceedings of the 6th IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes (SAFEPROCESS), Beijing, China, pp. 1309-1314. 
  18. Maki, M., Jiang, J. and Hagino, K. (2004). A stability guaranteed active fault-tolerant control system against actuator failures, International Journal of Robust and Nonlinear Control 14(12): 1061-1077. Zbl1057.93018
  19. Murray-Smith, R. and Johansen, T.A. (1997). Multiple Model Approaches to Modelling and Control, Taylor and Francis, London. 
  20. Patton, R.J. (1997). Fault-tolerant control systems: The 1997 situation, Proceedings of the IFAC Symposium: SAFEPROCESS'97, Hull, UK, Vol. 2, pp. 1033-1055. 
  21. Qu, Z., Ihlefeld, C. M., Yufang, J. and Saengdeejing, A. (2003). Robust fault-tolerant self-recovering control of nonlinear uncertain systems, Automatica 39(10): 1763-1771. Zbl1054.93024
  22. Richter, J.H., Schlage, T. and Lunze, J. (2007). Control reconfiguration of a thermofluid process by means of a virtual actuator, IET Proceedings on Control Theory and Applications 1(6): 1606-1620. 
  23. Rodrigues, M., Theilliol, D., Aberkane, S. and Sauter, D. (2007). Fault tolerant control design for polytopic LPV systems, International Journal of Applied Mathematics and Computer Science 17(1): 27-37, DOI: 10.2478/v10006-0070004-5. Zbl1122.93073
  24. Rodrigues, M., Theilliol, D., Medina, M. A. and Sauter, D. (2008). A fault detection and isolation scheme for industrial systems based on multiple operating models, Control Engineering Practice 16(2): 225-239. 
  25. Rodrigues, M., Theilliol, D. and Sauter, D. (2005). Design of an active fault tolerant control and polytopic unknown input observer for systems described by a multi-model representation, 44th IEEE Conference on Decision and Control/European Control Conference ECC, Sevilla, Spain, pp. 3816-3820. 
  26. Wan, Z. and Kothare, M.V. (2003). Efficient scheduled stabilizing output feedback model predictive control for constrained nonlinear systems, Proceedings of the American Control Conference, Denver, CO, USA, Vol. 1 (4-6), pp. 489-494. Zbl1036.93026
  27. Witczak, M., Dziekan, L., Puig, V. and Korbicz, J. (2007). An integrated design strategy for fault identification and fault-tolerant control for Takagi-Sugeno fuzzy systems, Preprints of the 17th World Congress of the International Federation of Automatic Control, Seoul, Korea, pp. 7387-7392. 
  28. Zhang, Y. and Jiang, J. (2008). Bibliographical review on reconfigurable fault-tolerant control systems, Annual Reviews in Control 32(2): 229-252. 
  29. Zhang, Y.M., Jiang, J., Yang, Z. and Hussain, D.M.A. (2005). Managing performance degradation in fault tolerant control systems, Preprints of the 16th IFAC Triennial World Congress, Prague, Czech Republic, pp. 424-429. 

Citations in EuDML Documents

top
  1. Amir Hossein Hassanabadi, Masoud Shafiee, Vicenç Puig, Robust fault detection of singular LPV systems with multiple time-varying delays
  2. Tamás Péni, Báltin Vanek, Zoltán Szabó, József Bakor, Supervisory fault tolerant control of the GTM UAV using LPV methods
  3. Marcin Mrugalski, An unscented Kalman filter in designing dynamic GMDH neural networks for robust fault detection
  4. Zhaohui Cen, Hassan Noura, Younes Al Younes, Systematic fault tolerant control based on adaptive Thau observer estimation for quadrotor UAVs

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.