Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2007 | 17 | 4 | 491-504

Tytuł artykułu

Reliability modeling of fault tolerant control systems

Treść / Zawartość

Warianty tytułu

Języki publikacji



This paper proposes a novel approach to reliability evaluation for active Fault Tolerant Control Systems (FTCSs). By introducing a reliability index based on the control performance and hard deadline, a semi-Markov process model is proposed to describe system operation for reliability evaluation. The degraded performance of FTCSs in the presence of imperfect Fault Detection and Isolation (FDI) is reflected by semi-Markov states. The semi-Markov kernel, the key parameter of the process, is determined by four probabilistic parameters based on the Markovian model of FTCSs. Computed from the transition probabilities of the semi-Markov process, the reliability index incorporates control objectives, hard deadline, and the effects of imperfect FDI, a suitable quantitative measure of the overall performance.








Opis fizyczny




  • Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Alberta, Canada, T6G 2V4
  • Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Alberta, Canada, T6G 2V4
  • Department of Computer Science and Engineering, Aalborg University Esbjerg, Niels Bohrs Vej 8, 6700 Esbjerg, Denmark


  • Balas G., Packard A., Renfrow J., Mullaney C.,and M'Closkey R. (1998): Control of the F-14 aircraft lateral-directional axis during powered approach. Journal of Guidance, Control, and Dynamics, Vol.21, No.6, pp.899-908.
  • Blanke M. (1996): Consistent design of dependable control systems. Control Engineering Practice, Vol.4,No.9, pp.1305-1312.
  • Blanke M., Staroswiecki M. and Wu N.E. (2001): Concepts and methods in fault-tolerant control. Proceedings of American Control Conference, Arlington, USA, pp.2606-2620.
  • Bonivento C., Capiluppi M., Marconi L., PaoliA. and Rossi C. (2006): Reliability evaluation for fault diagnosis in complex systems. Proceedings of SAFEPROCESS, Beijing, China, pp.1405-1410.
  • Ciardo G., Marie R., Sericola B. and Trivedi K.(1990): Performability analysis using semi-Markov reward processes. IEEE Transactions on Computers, Vol.39, No.10,pp.1251-1264.
  • cCinlar, E. (1975): Introduction to Stochastic Processes. Englewood Cliffs: Prentice-Hall.
  • Figueras J., Vicencc P. and Quevedo J.(2006): Multiple fault diagnosis system design using reliability analysis: Application to Barcelona rain-gauge network. Proceedings of SAFEPROCESS, Beijing, China, pp.1399-1404.
  • Guenab F., Theilliol D., Weber P., Ponsart J., and Sauter D. (2005): Fault tolerant control method based on cost and reliability analysis. Proceedings of the 16th IFAC World Congress, Prague, Czech Republic, (on DVD).
  • Guenab F., Theilliol D., Weber P., Zhang Y.M., and Sauter D. (2006): Fault tolerant control system design: A reconfiguration strategy based on reliability analysis under dynamic behavior constraints. Proceedings of SAFEPROCESS, Beijing, China, pp.1387-1362.
  • Harrison J., Daly K. and Gai E. (1981): Reliability and accuracy prediction for a redundantstrapdown navigator. Journal of Guidance and Control, Vol.4,No.5, pp.523-529.
  • Jiang J. and Zhang Y.M. (2006): Accepting performance degradation in fault-tolerant control system design. IEEE Transactions on Control Systems Technology, Vol.14, No.2, pp.284-292.
  • Li H. and Zhao Q. (2007): Probabilistic design of fault tolerant control via parametrization. Circuits, Systems, and Signal Processing, (inpress).
  • Li H. and Zhao Q. (2006): Reliability evaluation of fault tolerant control systems with a semi-Markov FDI model. Proceedings of SAFEPROCESS, Beijing, China, pp.1381-1386.
  • Limnios N., and Oprisan G. (2001): Semi-Markov Processes and Reliability. Boston: Birkhauser.
  • Mahmoud M., Jiang J. and Zhang Y. (2003): Active Fault-Tolerant Control Systems: Stochastic Analysis and Synthesis. Berlin: Springer-Verlag.
  • Maron M. (1989): Detection delays, false alarm rates and the reconfiguration of control systems. International Journal of Control, Vol.49, No.3, pp.981-992.
  • Patton R. (1997): Fault-tolerant control systems: The 1997 situation. Proceedings of SAFEPROCESS, Kingston Upon Hull, UK, pp.1033-1054.
  • Patton R., Uppal F., Simani S. and Polle B.(2006): A Monte Carlo analysis and design for FDI of a satellite attitude control system. Proceedings of Safeprocess, Beijing, China, pp.1393-1398.
  • Polyak B.T. and Tempo R. (2001): Probabilistic robust design with linear quadratic regulators. Systems and Control Letters, Vol.43, pp.343-353.
  • Ross S.M. (2002): Introduction to Probability Models, 8th Ed. San Diego: Academic Press.
  • Schrick D. and Muller P. (2000): Reliability models for sensor fault detection with state-estimator schemes. In: Issues of Fault Diagnosis for Dynamic Systems (R.Patton, P.Frank, and R.Clark, Eds.), London: Springer-Verlag.
  • Shin K. and Kim H. (1992): Derivation and application of hard deadlines for real-time control systems. IEEE Transactions on Systems, Man and Cybernetics, Vol.22, No.6, pp.1403-1412.
  • Spencer B., Sain M., Won C., Kaspari D. and Sain P. (1994): Reliability-based measures of structural control robustness. Structural Safety, Vol.15, No.1-2, pp.111-129.
  • Srichander R. and Walker B. (1993): Stochastic stability analysis for continuous-time fault tolerant control systems. International Journal of Control, Vol.57, No.2, pp.433-452.
  • Tempo R., Bai E. and Dabbene F. (1997): Probabilistic robustness analysis: Explic bounds for the minimum number of samples. Systems and Control Letters, Vol.30,No.5, pp.237-242.
  • Walker B. (1997): Fault tolerant control system reliability and performance prediction using semi-Markov models. Proceedings of Safeprocess, Kingston Upon Hull, UK, pp.1053-1064.
  • Walker B. (1989): Fault detection threshold determination using Markov theory, In: Fault Diagnosis in Dynamic Systems: Theory and Application (R. Patton, P.Frank, and R.Clark, Eds.), Upper Saddle River: Prentice Hall.
  • Wu N. E. (2001): Reliability of fault tolerant control systems: Part I and II. Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, USA, pp.1460-1471.
  • Wu N.E. and Patton R. (2003): Reliability and supervisory control. Proceedings of SAFEPROCESS, Washington, (on CD-ROM).
  • Wu N. E. (2004): Coverage in fault-tolerant control. Automatica, Vol.40, No.4, pp.537-548.
  • Wu N.E. and Thavamani S. (2006): Effect of acknowledgement on performance of a fault-tolerant wireless network. Proceedings of SAFEPROCESS, Beijing, China,pp.1411-1416.
  • Yaesh I., Boyarski S. and Shaked U. (2003): Probability-guaranteed robust H_∞ performance analysis and state-feedback design. Systems and Control Letters,Vol.48, No.5, pp.351-364.
  • Zhang Y.M. and Jiang J. (2001): Integrated active fault-tolerant control using IMM approach. IEEE Transactions on Aerospace and Electronic Systems, Vol.37, No.4, pp.1221-1235

Typ dokumentu



Identyfikator YADDA

JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.