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Iterative learning control for a class of parabolic system fault diagnosis

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Abstract

The paper focuses on the fault detection problem for a class of parabolic system. Main goal is to use iterative learning control algorithm to detect faults. Then, by constructing a novel control strategy depending on P-type learning law. In this way, the control strategy can ensure the convergence of fault error and residual signal with iterative number, the uniform convergence of the learning control algorithm is obtained from the sufficient conditions and the detail proof is given. Finally, the effectiveness of the proposed method is demonstrated by an example.

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References

  1. Wen, H.-Y.: Fault Diagnosis and Fault Tolerant Control of Control System. Machinery Industry Press, Beijing (1998)

    Google Scholar 

  2. Zhang, Y., et al.: A class of time-delay disturbance discrete system for iterative learning control. ICIC Express Lett. Part B 7, 357–362 (2016)

    Google Scholar 

  3. Baniamerian, A., Khorasani, K.: Fault detection and isolation dissipative parabolic PDEs: finite-dimensional geometric approach. In: American Control Conference (ACC), pp. 5894-5899 (2012).

  4. Zhang, Y., Li, Y., et al.: Vector analysis for iterative learning control algorithm. J. Comput. Theor. Nanosci. 12(12), 4724–4729 (2015)

    Article  Google Scholar 

  5. Jiang, B., Wang, J.L., Soh, Y.C.: An adaptive technique for robust diagnosis of faults with independent effects on system outputs. Int. J. Control 75(11), 792–802 (2002)

    Article  MathSciNet  Google Scholar 

  6. Jiang, B., Staroswiecki, M.: Adaptive observer design for robust fault estimation. Int. J. Syst. Sci. 33(9), 767–775 (2002)

    Article  MathSciNet  Google Scholar 

  7. Chung, S., Park, T.S., Park, S.H., et al.: Colorimetric sensor array for white wine tasting. Sensors 15, 18197–18208 (2015)

    Article  Google Scholar 

  8. Acquah, G.E., Via, B.K., Billor, N., et al.: Identifying plant part composition of forest logging residue using infrared spectral data and linear discriminant analysis. Sensors 16(9), 1375 (2016)

    Article  Google Scholar 

  9. Xie, S.L., et al.: Theory and Application of Iterative Learning Control. Science Press, Beijing (2005)

    Google Scholar 

  10. Wang, Y., Zhou, D.: Two-Dimensional Model Theory and Its Application of Iterative Learning Control. Science Press, Beijing (2013)

    Google Scholar 

  11. Zhou, D., et al.: Fault diagnosis of dynamic systems. J. Autom. 35(6), 748–758 (2009)

    Google Scholar 

  12. Zhang, D.H., et al.: Fault diagnosis method of dynamic system. J. Autom. 17(2), 153–158 (2000)

    Google Scholar 

  13. Arimoto, S., Kawamura, S., Miyazaki, F.: Bettering operation of robots by learning. J. Robot. Syst. 1(2), 123–140 (1984)

    Article  Google Scholar 

  14. Su, J., Zhang, Y., et al.: Singular distributed parameter system iterative learning control with forgetting factor with time-delay. Int. J. u- e-Serv. Sci. Technol. 9(7), 182–194 (2016)

    Google Scholar 

  15. Wei, C.A.O., et al.: Fault diagnosis of discrete linear time varying systems based on iterative learning. Control Decis. 28(1), 137–140 (2013)

    Google Scholar 

  16. Wei, C.A.O., et al.: Fault diagnosis of discrete time varying systems based on angle correction iterative learning. Control Theory Appl. 29(11), 1495–1500 (2012)

    Google Scholar 

  17. Qi, Q.-H.: Fault estimation based on ESO iterative learning algorithm. Control Decis. 30(3), 546–550 (2015)

    Google Scholar 

  18. Liu, P.: Nonlinear distributed parameter system robust fault detection design. Shanghai Jiao Tong Univ. J. 45(2), 241–246 (2011)

    Google Scholar 

  19. Demetriou, M.A.: A model-based fault detection and diagnosis scheme for distributed parameter systems: a learning systems approach. ESAIM 7, 43–67 (2002)

    MathSciNet  MATH  Google Scholar 

  20. Armaou, A., Demetriou, M.A.: Robust detection and accommodation of incipient component and actuator faults in nonlinear distributed processes. AIChE J. 54, 2651–2662 (2008)

    Article  Google Scholar 

  21. Claudio, B., Andrea, P., Lorenzo, M.: Fault tolerant control of the ship propulsion system benchmark. Control Eng. Pract. 11(4), 483–492 (2003)

    Google Scholar 

  22. Wang, H., Daley, S.: Actuator fault diagnosis: an adaptive observer based technique. IEEE Trans. Autom. Control 41(7), 1073–1078 (1996)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgments

The work was supported by the Hechi University Foundation (XJ2016ZD004) and was supported by the Projection of Environment Master Foundation (2017HJA001).

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Correspondence to Yinjun Zhang or Yinghui Li.

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Zhang, Y., Li, Y. & Su, J. Iterative learning control for a class of parabolic system fault diagnosis. Cluster Comput 22 (Suppl 3), 6209–6217 (2019). https://doi.org/10.1007/s10586-018-1898-4

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  • DOI: https://doi.org/10.1007/s10586-018-1898-4

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