A Robust Actuator Fault Detection and Isolation Approach for Nonlinear Dynamic Systems
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This paper presents a model-based technique for fault detection and isolation (FDI) of actuators of a benchmark which schematizes a hydraulic process made up of three tanks. Takagi Sugeno’s model approach is used for describing the dynamic of the system. In the same way, the fuzzy membership functions used for constructing Takagi and Sugeno’s model are combined with local unknown input observers to form robust fuzzy observer. Sufficient conditions for the existence of this fuzzy observer are derived. The stability as well as eigen-value constraints conditions are presented and solved in the LMI framework. For the observer gives a good estimation without amplifying noise and with a convergence faster than the dynamic of the system a eigen-value assignment is necessary. Robust residual signals, generated by these fuzzy observers robust to unknown inputs are dedicated to supervise actuators. These residuals are sensitive to faults acting on one actuator and are also insensitive to faults on the others by considering faults such unknown disturbances. This permits to carry out directly the isolation of the faulty actuator.
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T. Takagi and M. Sugeno, Fuzzy Identification of Systems and its Applications to Modeling and Control, IEEE transaction on systems man and cybernetic, Vol. 15, (Issue 1): 116-132, 1985.
X. J. Ma, and Z. Q. Sun, Analysis and Design of Fuzzy Controller and Fuzzy Observer, IEEE transaction on fuzzy systems, Vol. 6, (Issue 1): 41-51, 1998.
J. Chen, R. J. Patton, Robust Model-Based Fault Diagnosis for Dynamic Systems (Kluwer Academic Publishers, 1999).
S. Ding, X. E. Atlas, S. Schneider, Y. Ma, T. Jeinsch, and E. L. Ding, An Introduction to a Matlab-Based FDI-TOOLBOX, Proceedings of the 6th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Process (Safeprocess) Beijing, China, 30 August, 1 September, 2006.
L. F. Mendonça, J.M.C. Sousa, and J.M.G. Sa da Costa, Fault Isolation Using Model-Based Observers, Proceedings of the 6th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Process (Safeprocess), Beijing, China, 30 August, 1 September, 2006.
A. Akhenak, M. Chadli, D. Maquin, and J. Ragot, State Estimation via Multiple Observers with Unknown Inputs: Application to the Three Tank System, 5th IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, Safeprocess, Washington, D.C., USA, June, 2003.
Akhenak, M. Chadli, J. Ragot, and D. Maquin, Conception d'un Observateur Flou à Entrées Inconnues,12ème rencontres francophones sur la Logique Floue et ses Applications, LFA, Nantes, France, Novembre, 2004.
S. Boyd, L. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory (SIAM, Philadelphia, 1994).
L. Foulloy, S. Galichet and A. Titli, Commande Floue 2, de l’Approximation à l’Apprentissage (Edition Hermès, 2003).
K. Tanaka and M. Sugeno, Stability Analysis and Design of Fuzzy Control Systems, Fuzzy Sets and Systems, Vol. 45, (Issue 2): 135-156, 1992.
M. Chadli, D. Maquin and J. Ragot, Relaxed Stability for Takagi-Sugeno Fuzzy Systems, IEEE International Conference on Systems, Man and Cybernetics, Vol. 5, Nashville, TN, October, 2000.
M. Darouach, M. Zasadzinski and S. J. Xu, Full-order Observers for Linear Systems with Unknown Inputs, IEEE, Transactions on Automatic Control, Vol. 39 (Issue 3): 606-609, 1994.
S. Gentil, Supervision des procédés complexes (Edition Hermès. 2007, Chapter 6).
Zolghadri, D. Henry and M. Monsion, Design of Nonlinear Observers for Fault Diagnosis: A Case Study, CEP, Vol. 4, (Issue 11): 1535-1544, 1996.
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