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Diagnosis of discrete-time singularly perturbed systems based on slow subsystem

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper deals with the diagnosis of discrete-time singularly perturbed systems presenting two time scales property. Parity space method is considered to generate the fault detection residual. The focus is in two directions. First, we discuss the residual illconditioning caused by the singular perturbation parameter. Then, the use of the slow subsystem is considered to make the fault diagnosis easier. It is shown that the designed diagnostic algorithm based on reduced order model is close to the one synthesized using the full order system. The developed approach aims at reducing the computational load and the ill-conditioning for stiff residual generation problem. Two examples of application are used to demonstrate the efficiency of the proposed method.
Rocznik
Strony
175--180
Opis fizyczny
Bibliogr. 22 poz., rys., wykr.
Twórcy
autor
  • Unité de Recherche MACS, Ecole Nationale d'Ingénieurs de Gabès, Avenue Omar Ibn El Khattab - Zerig - 6029 Gabès, University of Gabès, Tunisia
  • Institut Supérieur des Etudes Technologiques de Djerba, Avenue 7 novembre - 4116 Midoun Jerba, Tunisia
autor
  • Unité de Recherche MACS, Ecole Nationale d'Ingénieurs de Gabès, Avenue Omar Ibn El Khattab - Zerig - 6029 Gabès, University of Gabès, Tunisia
  • Institut Supérieur des Systèmes Industriels de Gabès, Rue, Slaheddine El Ayoubi – 6032 Gabès, University of Gabès, Tunisia
autor
  • Unité de Recherche MACS, Ecole Nationale d'Ingénieurs de Gabès, Avenue Omar Ibn El Khattab - Zerig - 6029 Gabès, University of Gabès, Tunisia
  • Unité de Recherche MACS, Ecole Nationale d'Ingénieurs de Gabès, Avenue Omar Ibn El Khattab - Zerig - 6029 Gabès, University of Gabès, Tunisia
  • Ecole Nationale d'lngénieurs de Gabès, Avenue Omar Ibn El Khattab - Zerig - 6029 Gabès, University of Gabès, Tunisia
Bibliografia
  • 1. Abdelkrim N., Tellili A. (2009), Model based fault diagnosis of a hydraulic system using singular perturbation approach, International Review of Automatic Control (I.RE.A.CO), Vol. 2, No. 6, 731-737.
  • 2. Chow E., Willsky A. (1984), Analytical redundancy and the design of robust failure detection systems, IEEE Transactions on Automatic Control, Vol. 29, No. 7, 603-614.
  • 3. Clark R. N., Fasth D. C., Walton W. M. (1975), Detecting instrument malfunctions in control systems, IEEE Transactions on Automatic Control, Vol. AES-16, No. 4, 468-473.
  • 4. Frank P. M. (1990), Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy, A survey and some new results, Automatica, Vol. 26, No. 3, 459-474.
  • 5. Gertler J. (1997), Fault detection and isolation using parity relations, Control Engineering Practice, Vol. 5, No. 5, 653-661.
  • 6. Gong F., Khorasani K. (2005), Fault Diagnosis of Linear Singularly Perturbed Systems, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, Seville, Spain.
  • 7. Isermann R. (1993), Fault diagnosis of machines via parameter estimation and knowledge processing, Automatica, Vol. 29, No.4, 815-835.
  • 8. Kafri W., Abed E. (1996), Stability analysis of discrete-time singularly perturbed systems, IEEE Trans. On Circuits and Systems, Vol. 43, No.10, 848-850. 9. Kenneth R. S., David G. T. (1992), On the commutativity of decomposition and discretization for linear singularly perturbed systems, IEEE Proceedings of the 31st Conference on decision and control, Arizona.
  • 10. Khalil H. K. (1987), Output feedback control of linear two-time-scale systems, IEEE Transactions on Automatic Control, Vol. AC-32, No. 9, 784-792.
  • 11. Kokotovic P., Khalil H., O'Reilly J. (1986), Singular perturbation methods in control: analysis and design, Academic press, Harcourt Brace Jovanovich Publishers.
  • 12. Li W., Shah S. (2002), Structured residual vector-based approach to sensor fault detection and isolation, Journal of Process Control, Vol. 12, 429-443.
  • 13. Litkouhi B., Khalil H. (1985), Multirate and Composite Control of Two-Time-Scale Discrete-Time Systems, IEEE Transactions on Automatic Control, Vol. 30, No. 7, 645-651.
  • 14. Maquin D., Ragot J. (2000), Diagnostic des systèmes linaires. Hermes-science ed., France.
  • 15. Mease K. D. (2005), Multiple time-scales in nonlinear flight mechanics: diagnosis and modelling, Applied Mathematics and Computation, Vol. 164, No. 2, 627–648.
  • 16. Naidu D. S., Price D. B., Hibey J. L. (1987), Singular perturbations and time scales (SPaTS) in discrete control systems-an overview”. Proceedings of the 26th Conference on Decision and Control, Los Angeles, USA.
  • 17. Oloomi H., Saif M., Shafai B. (2004), On the Well Posedness of Singularly Perturbed Fault Detection Filters, Proceeding of the 2004 American Control Conference Boston, Massachusetts.
  • 18. Pana C., Stoian V., (2008), A fault-tolerant control system for a hexapod mobile robot, Acta Mechanica et Automatica, Vol. 2, No. 3, 80-85.
  • 19. Patton R. J., Chen J. (1991), A Review of Parity Space Approaches to Fault Diagnosis, Proceedings of IFAC Symposium on Safeprocess, Vol. 1, 239-255.
  • 20. Patton R. J., Chen J. (1997), Observer-based fault detection and isolation : Robustness and application, Control Engineering Practice, Vol. 5, No. 5, 671-682.
  • 21. Tellili A., Abdelkrim M., Benrjeb M. (2004), Model-based fault diagnosis of two-time scales singularly perturbed systems, IEEE Control, Communications and Signal Processing, 819-822.
  • 22. Tellili A., Abdelkrim M.N., Benrejeb M. (2007), Reliable H∞ control of multiple time scales singularly perturbed systems with sensor failure, International Journal of Control, Vol. 80, No. 5, 659-665.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-867808d3-9a9e-4d41-8a0a-83fac0bb86fd
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