Model-free reconfiguration mechanism for fault tolerance

Tushar Jain ; Joseph J. Yamé ; Dominique Sauter

International Journal of Applied Mathematics and Computer Science, Tome 22 (2012), p. 125-137 / Harvested from The Polish Digital Mathematics Library

Résumé

The problem of fault tolerant control is studied from the behavioral point of view. In this mathematical framework, the concept of interconnection among the variables describing the system is a key point. The problem is that the behavior we intend to control is not known. Therefore, we are interested in designing a fault accommodation scheme for an unknown behavior through an appropriate behavioral interconnection. Here we deal simply with the trajectories that are generated by the system in real time. These trajectories determine the behavior of a system in various (faulty/healthy) modes. Based on the desired interconnected behavior, only the trajectories that obey certain laws are selected. These laws, representing the desired behavior, can indeed be achieved by a regular interconnection. Thus, when the trajectories do not belong to a certain desired behavior, it is considered to be due to the occurrence of a fault in the system. The vantage point is that the fault tolerant control problem now becomes completely a model-free scheme. Moreover, no explicit fault diagnosis module is required in our approach. The proposed fault tolerance mechanism is illustrated on an aircraft during the landing phase.

Détail

Publié le : 2012-01-01

Zbl 1273.93051

EUDML-ID : urn:eudml:doc:208089

Bibliographie

[000] Baldi, S., Battistelli, G., Mosca, E. and Tesi, P. (2010). Multimodel unfalsified adaptive switching supervisory control, Automatica 46(2): 249-259. | Zbl 1205.93005

[001] Belur, M.N. and Trentelman, H.L. (2002). Stabilization, pole placement and regular implementability, IEEE Transactions on Automatic Control 47(5): 735-744.

[002] Blanke, M., Kinnaert, M., Staroswiecki, M. and Lunze, J. (2003). Diagnosis and Fault Tolerant Control, Springer-Verlag, Berlin. | Zbl 1023.93001

[003] Ding, S., Zhang, P., Naik, A., Ding, E. and Huang, B. (2009). Subspace method aided data-driven design of fault detection and isolation systems, Journal of Process Control 19(9): 1496-1510.

[004] Grimble, M. (1993). Robust Industrial Control: Optimal Design Approach for Polynomial Systems, Prentice Hall, Upper Saddle River, NJ.

[005] Hespanha, J., Liberzon, D. and Morse, A. (2003). Overcoming the limitations of adaptive control by means of logic-based switching, Systems & Control Letters 49(1): 49-65. | Zbl 1157.93440

[006] Jain, T., Yamé, J. J. and Sauter, D. (2010). A model based 2-DOF fault tolerant control strategy, 18th IEEE Mediterranean Conference on Control and Automation, Marrakech, Morocco, pp. 1073-1078.

[007] Morse, A. (2008). Lectures notes on logically switched dynamical systems, in P. Nistri and G. Stefani (Eds.) Nonlinear and Optimal Control Theory, Lectures Notes in Mathematics, Vol. 1932, Springer-Verlag, Berlin/Heidelberg, pp. 61-161. | Zbl 1165.93300

[008] Oishi, M., Mitchell, I., Bayen, A., Tomlin, C. and Degani, A. (2002). Hybrid verification of an interface for an automatic landing, 41st IEEE Conference on Decision and Control, Las Vegas, NV, USA, Vol. 2, pp. 1607-1613.

[009] Polderman, J.W. (2000). Sequential continuous time adaptive control: A behavioral approach, Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, Vol. 3, pp. 2484-2487.

[010] Polderman, J.W. and Willems, J.C. (1997). Introduction to Mathematical Systems Theory: A Behavioral Approach, Springer-Verlag, New York, NY. | Zbl 0940.93002

[011] Safonov, M. and Tsao, T.-C. (1997). The unfalsified control concept and learning, IEEE Transactions on Automatic Control 42(6): 843-847. | Zbl 0875.93213

[012] Stefanovic, M. and Safonov, M. (2008). Safe adaptive switching control: Stability and convergence, IEEE Transactions on Automatic Control 53(9): 2012-2021.

[013] van der Schaft, A.J. (2003). Achievable behavior of general systems, Systems & Control Letters 49(2): 141-149. | Zbl 1157.93309

[014] Wang, R. and Safonov, M. (2005). Stability of unfalsified adaptive control using multiple controllers, Proceedings of the American Control Conference, Portland, OR, USA, Vol. 5, pp. 3161-3167.

[015] Weiland, S., Stoorvogel, A.A. and Jager, B. (1997). A behavioral approach to the $H_∞$ optimal control problem, Systems Control Letters 32(5): 323-334. | Zbl 0902.93026

[016] Willems, J. C. (1986). From time series to linear systems, Part II: Exact modeling, Automatica 22(6): 675-694. | Zbl 0628.62088

[017] Yamé, J.J. (2005). Modeling and simulation of an aircraft in landing approach, Technical report, Research Centre for Automatic Control, Nancy.

[018] Yamé, J.J. and Sauter, D. (2008). A real-time model-free reconfiguration mechanism for fault-tolerance: Application to a hydraulic process, Proceedings of the 10th International Conference on Control, Automation, Robotics and Vision, ICARCV 2008, Hanoi, Vietnam, pp. 91-96.

[019] Yang, H., Jiang, B. and Staroswiecki, M. (2009). Supervisory fault tolerant control for a class of uncertain nonlinear systems, Automatica 45(10): 2319-2324. | Zbl 1179.93085

[020] Zerz, E. (2008). Behavioral systems theory: A survey, International Journal of Applied Mathematics and Computer Science 18(3): 265-270, DOI: 10.2478/v10006-008-0024-9. | Zbl 1176.93001

[021] Zhang, Y. and Jiang, J. (1999). Design of integrated fault detection, diagnosis and reconfigurable control systems, 38th IEEE Conference on Decision and Control, Phoenix, AZ, USA, pp. 3587-3592.

[022] Zhang, Y. and Jiang, J. (2008). Bibliographical review on reconfigurable fault-tolerant control systems, Annual Reviews in Control 32(2): 229-252.

[023] Zhao, Q. and Jiang, J. (1998). Reliable state feedback control systems design against actuator failures, Automatica 34(10): 1267-1272. | Zbl 0938.93523