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Actuator Fault Estimation Based on Proportional–Integral Observer for Delayed Continuous-Time Switched Systems

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Abstract

This paper deals with the problem of actuator fault estimation for continuous-time switched systems with state delay. The proposed fault estimation approach uses a switching proportional–integral observer which allows to obtain fast and exact fault information. Sufficient conditions are achieved by using a multiple Lyapunov–Krasovskii functional. These conditions are manipulated in a simple way in order to obtain a new linear matrix inequality different from the existing ones. To prove the effectiveness of the proposed results, an example of a switched electrical circuit is performed.

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References

  1. A. Abdo, W. Damlakhi, J. Saijai, S.X. Ding, Design of robust fault detection filter for hybrid switched systems, in Proceedings of the 2010 IEEE International Conference on Control and Fault Tolerant Systems, Nice, France (2010), pp. 161–166

  2. F. Bateman, H. Noura, M. Ouladsine, Fault diagnosis and fault-tolerant control strategy for the aerosonde UAV. IEEE Trans. Aerosp. Electron. Syst. 47(3), 2119–2137 (2011)

    Article  Google Scholar 

  3. A. Benzaouia, O. Benmessaouda, F. Tadeo, Stabilization of uncertain saturated discrete-time switching systems. Int. J. Control Autom. Syst. 7(5), 835–840 (2009)

    Article  Google Scholar 

  4. A. Benzaouia, M. Ouladsine, B. Ananou, Fault-tolerant saturated control for switching discrete-time systems with delays. Int. J. Adapt. Control Signal Process. 29(10), 1259–1273 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  5. A. Benzaouia, K. Telbissi, Fault detection for uncertain switched systems with time-varying state delay, in Proceedings of the 7th International Conference on Systems and Control (ICSC), Spain (2018), pp. 447–453

  6. A. Benzaouia, K. Telbissi, Actuator fault estimation based on proportional integral observer for discrete-time switched systems. J. Dyn. Syst. Meas. Control 141(3), 1–8 (2019)

    Article  Google Scholar 

  7. A. Benzaouia, K. Telbissi, Fault tolerant control for uncertain switching discrete-time systems with actuator failures, in Proceedings of the 6th International Conference on Systems and Control (ICSC), Algeria (2017), pp. 383–390

  8. K.K. Busawon, P. Kabore, Disturbance attenuation using proportional integral observers. Int. J. Control 74(6), 618–627 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  9. D. Du, B. Jiang, P. Shi, K. Zhang, B. Jiang, V. Cocquempot, Fault estimation and accommodation for switched systems with time-varying delay. Int. J. Control Autom. Syst. 9(3), 442–451 (2011)

    Article  Google Scholar 

  10. D. Du, B. Jiang, P. Shi, Active fault-tolerant control for switched systems with time delay. Int. J. Adapt. Control Signal Process. 25(5), 466–480 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  11. D. Du, B. Jiang, P. Shi, Fault Estimation and Accommodation for Switched Systems with Time-Varying Delay, in Fault Tolerant Control for Switched Linear Systems (Springer, Cham, 2015), pp. 135–151

    Google Scholar 

  12. Z. Gao, Fault estimation and fault tolerant control for discrete-time dynamic systems. IEEE Trans. Ind. Electron. 62(6), 3874–3884 (2015)

    Google Scholar 

  13. L. Hai, J. Panos, Stability and stabilizability of switched linear systems: a survey of recent results. IEEE Trans. Automat. Contr. 54(2), 308–322 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  14. D. Ichalal, B. Marx, J. Ragot, D. Maquin, An approach for the state estimation of Takagi–Sugeno models and application to sensor fault diagnosis, in Proceedings of the 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, Shanghai, P.R.China (2009), pp. 7790–7794

  15. K. Iftikhar, A. Qayyum Khan, M. Abid, Optimal fault detection filter design for switched linear systems. Nonlinear Anal. Hybrid Syst. 15(9), 132–144 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  16. B. Jiang, F.N. Chowdhury, Fault estimation and accommodation for linear MIMO discrete-time systems. IEEE Trans. Automat. Contr. 13(3), 493–499 (2005)

    Article  Google Scholar 

  17. M. Liu, P. Shi, L. Zhang, X. Zhao, Fault-tolerant control for nonlinear Markovian jump systems via proportional and derivative sliding mode observer technique. IEEE Trans. Circuits Syst. I Regul. Pap. 58(11), 2755–2764 (2011)

    Article  MathSciNet  Google Scholar 

  18. M. Midori, J. Jiang, K. Hagino, A stability guaranteed active fault-tolerant control system against actuator failures. Int. J. Robust Nonlinear Control 14(12), 1061–1077 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  19. S.S. Montadher, A robust adaptive observer-based time varying fault estimation. Amirkabir Int. J. Sci. Res. 47(2), 11–19 (2015)

    Google Scholar 

  20. H. Soltani, S. Bel Hadj Ali Naoui, A. Aitouche, R. El Harabi, M.N. Abdelkrim, Robust simultaneous fault detection and control approach for time-delay systems. Int. Fed. Autom. Control 48(21), 1244–1249 (2015)

    Google Scholar 

  21. A. Varga, Solving Fault Diagnosis Problems (Springer, Berlin, 2017)

    Book  MATH  Google Scholar 

  22. D. Wang, P. Shi, W. Wang, Robust fault detection for continuous-time switched delay systems: an linear matrix inequality approach. IET Control Theory Appl. 4(1), 100–108 (2010)

    Article  MathSciNet  Google Scholar 

  23. H. Yang, B. Jiang, V. Cocquempot, Fault Tolerant Control Design for Hybrid Systems (Springer, Berlin, 2010)

    Book  MATH  Google Scholar 

  24. K. Zhang, B. Jiang, V. Cocquempot, Adaptive observer-based fast fault estimation. Int. J. Control Autom. Syst. 6(3), 320–326 (2008)

    Google Scholar 

  25. L. Zhang, M. Chen, Q. Wu, B. Wu, Fault tolerant control for uncertain networked control systems with induced delays and actuator saturation. IEEE Access 4(3), 6574–6584 (2016)

    Article  Google Scholar 

  26. K. Zhang, B. Jiang, P. Shi, Observer-Based Fault Estimation and Accommodation for Dynamic Systems (Springer, Berlin, 2013)

    Book  Google Scholar 

  27. G. Zhong, G.H. Yang, Robust control and fault detection for continuous-time switched systems subject to a dwell time constraint. Int. J. Robust Nonlinear Control 25(18), 3799–3817 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  28. D. Zhang, L. Yu, W. Zhang, Delay-dependent fault detection for switched linear systems with time-varying delays-the average dwell time approach. Signal Process. 91(4), 832–840 (2011)

    Article  MATH  Google Scholar 

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Correspondence to Abdellah Benzaouia.

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Telbissi, K., Benzaouia, A. Actuator Fault Estimation Based on Proportional–Integral Observer for Delayed Continuous-Time Switched Systems. Circuits Syst Signal Process 38, 4405–4419 (2019). https://doi.org/10.1007/s00034-019-01071-8

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