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Research on a reduced order closed-loop identification algorithms based on AIC for process with time delay

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Abstract

In view of the limitations of traditional closed-loop identification methods, and considering process with time delay, a new closed-loop identification method based on Akaike’s information criterion (AIC) was proposed.it is possible to identify process model using closed-loop data under the reference signal was being excited. Firstly, the time delay term is approximated by first-order Padé and the equivalent closed-loop transfer function of closed-loop system is calculated. Secondly, the high-order discrete model which is determined by proposed method based on AIC can be obtained by the identification of the real closed-loop system. The terminal identification model which is gained from after reduction of the high-order discrete model has the same model structures as the equivalent closed-loop transfer function. Finally, solving methods of process parameters could be deduced by coefficient of same power in the two typical time delay process. Feasibility, universality, high identification accuracy and practicability of the proposed method were verified by a simulation test. It achieves satisfying identification effect in the closed-loop system identification of temperature and liquid level in distillation column reactor.

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References

  1. Fang, M.Y., Zhu, Y.C.: Analysis of over-sampling based identification. Automatica 79, 101–107 (2017)

    Article  MathSciNet  Google Scholar 

  2. Larsson, C.A., Ebadat, A.: An application-oriented approach to dual control with excitation for closed-loop identification. Eur. J. Control 29, 1–16 (2016)

    Article  MathSciNet  Google Scholar 

  3. Chen, F.W., Gilson, M., Garnier, H.: Robust time-domain output error method for identifying continuous-time systems with time delay. Syst. Control Lett. 102, 81–92 (2017)

    Article  MathSciNet  Google Scholar 

  4. Cvejn, J.: The design of PID controller for non-oscillating time-delayed plants with guaranteed stability margin based on the modulus optimum criterion. J. Process Control 23, 570–584 (2013)

    Article  Google Scholar 

  5. Isermann, R.: Digital Control Systems. Springer, Berlin (1981)

    Book  Google Scholar 

  6. Isermann, R., Münchhof, M.: Identification of Dynamic Systems, an Introduction with Application. Springer, Berlin (2011). https://doi.org/10.1007/978-3-540-78879-9

    Book  MATH  Google Scholar 

  7. Shardt, Y.A.W., Huang, B.: Closed-loop identification condition for ARMAX models using routine operating data. Automatica 47(7), 1534–1537 (2011)

    Article  MathSciNet  Google Scholar 

  8. Fang, M.Y., Zhu, Y.C.: Asymptotic variance expression in output over-sampling based closed-loop identification. IFAC-PapersOnLine 48–28, 110–115 (2015). https://doi.org/10.1016/j.ifacol.2015.12.109

    Article  Google Scholar 

  9. Liu, R.R., Pan, T.H., Li, Z.M.: Multi-model recursive identification for nonlinear systems with non-uniformly sampling. Cluster Comput. 20, 25–32 (2017). https://doi.org/10.1007/s10586-016-0688-0

    Article  Google Scholar 

  10. Shardt, Y.A.W., Huang, B.: Minimal required excitation for closed-loop identification: Some implications for data-driven, system identification. J. Process Control 27, 22–35 (2015)

    Article  Google Scholar 

  11. Wang, J., Chen, T., Huang, B.: Closed-loop identification via output fast sampling. J. Process Control 14, 555–570 (2004)

    Article  Google Scholar 

  12. Jiang, B.B., yang, F.: An extended AUDI algorithm for simultaneous identification of forward and backward paths in closed-loop systems. IFAC-PapersOnLine 8–1, 396–401 (2012)

    Google Scholar 

  13. Yin, S., Luo, H., Ding, S.X.: Real-time implementation of fault-tolerant control systems with performance optimization. IEEE Trans. Ind. Electron. 61(5), 2401–2402 (2014)

    Article  Google Scholar 

  14. Yousefi, M., Rippon, L.D.: Moving-Horizon predictive input design for closed-loop identification. IFAC-PapersOnLine 48–8, 135–140 (2015)

    Article  Google Scholar 

  15. Larsson, C.A., Ebadat, A., Rojas, C.R.: An application-oriented approach to dual control with excitation for closed-loop identification. Eur. J. Control 29, 1–16 (2016)

    Article  MathSciNet  Google Scholar 

  16. Ghanes, M., DeLeon, J., Barbot, J.P.: Simultaneous observation and identification for nonlinear systems under unknown time-varying delays. J. Franklin Inst. 353, 2305–2318 (2016)

    Article  MathSciNet  Google Scholar 

  17. Levy, E.C.: Complex-curve fitting. IRE Trans. Autom. Control, AC-4 37-44 (1959)

    Article  Google Scholar 

  18. Akaike, H.: A new look at the statistical model identification. IEEE Trans. Autom. Control 19(6), 716–723 (1974)

    Article  MathSciNet  Google Scholar 

  19. Ljung, L.: System Identification-Theory for the User, 2nd edn. PTR Prentice Hall, Upper Saddle River (1999)

    MATH  Google Scholar 

  20. Hutton, M.F.: Routh approximation for high-order linear system. In: Proceeding of 9th Allerton Conference, pp. 160–169 (1971)

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Acknowledgements

The authors would like to thank National Natural Science Foundation of China (Nos. 61573296, 61403149, and 61473329), Natural Science Foundation of Fujian Province (Nos. 2015J01261, 2015J01009). The authors are grateful to the anonymous reviewers for their valuable recommendations.

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Authors and Affiliations

  1. Department of Automation, Xiamen University, Xiamen, China, 361005

    Yimin Zheng & Guoli Ji

  2. College of Information Science and Engineering, Huaqiao University, Xiamen, China, 361021

    Yimin Zheng & Zhuoyun Nie

  3. Department of Automation, Xiamen University of Technology, Xiamen, China, 361021

    Jiangyin Huang

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  1. Yimin Zheng
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  2. Guoli Ji
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  3. Zhuoyun Nie
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Correspondence to Yimin Zheng.

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Zheng, Y., Ji, G., Nie, Z. et al. Research on a reduced order closed-loop identification algorithms based on AIC for process with time delay. Cluster Comput 22 (Suppl 6), 13247–13260 (2019). https://doi.org/10.1007/s10586-018-1843-6

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  • DOI: https://doi.org/10.1007/s10586-018-1843-6

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