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The Model-Based Disturbance Rejection with MOMI Tuning Method for PID Controllers

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CONTROLO 2016

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 402))

Abstract

The paper presents a tuning method for PID controllers which substantially improves closed-loop disturbance rejection performance while keeping the tracking performance. The tuning method is based on the internal disturbance compensator which parameters are calculated according to the Magnitude Optimum criterion. The results of experiments show that the proposed model-based approach gives superior disturbance-rejection response and lower controller activity when compared to Disturbance Rejection Magnitude Optimum tuning method.

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Notes

  1. 1.

    The filter T F is assumed to be part of the process and the controller parameters are tuned according to such process. Due to negligible T F , compared to the process time constants, the overall result for K FD should not vary significantly and the change can be supposed to remain negligible.

References

  1. Åström, K.J., Hägglund, T.: PID controllers: Theory, Design, and Tuning, 2nd edn. Instrument Society of America (1995)

    Google Scholar 

  2. Åström, K.J., Panagopoulos, H., Hägglund, T.: Design of PI controllers based on non-convex optimization. Automatica 34(5), 585–601 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  3. Freire, H., Moura, O.P., Solteiro, E.P., Bessa, M.: Many-Objective PSO PID Controller Tuning, Controlo 2014, pp. 183–192. Porto, Portugal (2014)

    Google Scholar 

  4. Garcia, C.E., Morari, M.: Internal model control. A unifying review and some new results. Ind. Eng. Chem. Process Des. Dev. 21, 308–323 (1982)

    Article  Google Scholar 

  5. Garcia, C.E., Morari, M.: Internal model control. 2. Design procedure for multivariable systems. Ind. Eng. Chem. Process Des. Dev. 24, 472–484 (1985)

    Article  Google Scholar 

  6. Garcia, C.E., Morari, M.: Internal model control. 3. Multivariable control law computation and tuning guidelines. Ind. Eng. Chem. Process Des. Dev. 24, 484–494 (1985)

    Article  Google Scholar 

  7. Gorez, R.: A survey of PID auto-tuning methods. J. A 38(1), 3–10 (1997)

    Google Scholar 

  8. Huba, M.: Constrained pole assignment control. In: Menini, L., Zaccarian, L., Abdallah, Ch. T., (eds.) Current Trends in Nonlinear Systems and Control, pp. 163–183. Birkhäuser, Boston (2006)

    Google Scholar 

  9. Moura, O.P., Vrančić, D., Freire, H.: Dual Mode Feedforward-Feedback Control System, Controlo 2014, pp. 241–250. Porto, Portugal (2014)

    Google Scholar 

  10. O’Dwyer, A.: Handbook of PI and PID Controller Tuning Rules; 3rd edn. Imperial College Press (2009)

    Google Scholar 

  11. Taguchi, H., Araki, M.: Two-degree-of-freedom PID controllers—their functions and optimal tuning. In: Proceedings of the IFAC Workshop on Digital Control (PID’00), pp. 95–100. Terrassa (2000)

    Google Scholar 

  12. Vrančić, D: Magnitude optimum techniques for PID controllers. In: Rames R.C. (eds.). Introduction to PID Controllers: Theory, Tuning and Application to Frontiers Areas. pp. 75–102. InTech, cop., Rijeka (2011)

    Google Scholar 

  13. Vrančić D., Strmčnik S., Hanus R.: Magnitude optimum tuning using non-parametric data in the frequency domain. In: PID’00: Preprints: IFAC Workshop on Digital Control: Past, Present and Future of PID Control, pp. 438–443. Terrassa, Spain, 5–7 April 2000

    Google Scholar 

  14. Vrančić, D., Strmčnik, S., Juričić, Đ.: A magnitude optimum multiple integration method for filtered PID controller. Automatica 37, 1473–1479 (2001)

    Article  MATH  Google Scholar 

  15. Vrančić D., Kocijan J., Strmčnik S.: Simplified disturbance rejection tuning method for PID controllers. In: ASCC the 5th Asian Control Conference, July 20–23, Melbourne, Australia. Conference Proceedings (2004)

    Google Scholar 

  16. Vrančić D. Strmčnik S., Kocijan J. and Moura Oliveira P. B. de. (2010). Improving disturbance rejection of PID controllers by means of the magnitude optimum method. ISA Trans. 49(1), 47–56. ISSN 0019-0578

    Google Scholar 

  17. Vrečko, D., Vrančić, D., Juričić, Đ., Strmčnik, S.: A new modified smith predictor: the concept, design and tuning. ISA Trans. 40, 111–121 (2001). ISSN 0019-0578

    Google Scholar 

  18. Whiteley, A.L.: Theory of servo systems, with particular reference to stabilization. J. IEE, Part II 93(34), 353–372 (1946)

    Google Scholar 

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Acknowledgments

This work was supported in part by the Slovenian Research Agency through the programme P2-0001 and Grant L2-5476 and by EU’s Seventh Framework Programme under grant agreement n°[621208].

Author information

Authors and Affiliations

  1. Department of Systems and Control, J. Stefan Institute, SI-1000, Ljubljana, Slovenia

    Damir Vrančić

  2. Department of Engineering, School of Sciences and Technology, Universidade de Trás-os-Montes e Alto Douro, UTAD, 5001–801, Vila Real, Portugal

    Paulo Moura Oliveira

  3. Faculty of Electrical Engineering and Informatics, University of Pardubice, Studentska 95, 532 10, Pardubice, Czech Republic

    Jan Cvejn

Authors
  1. Damir Vrančić
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  2. Paulo Moura Oliveira
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  3. Jan Cvejn
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Corresponding author

Correspondence to Damir Vrančić .

Editor information

Editors and Affiliations

  1. School of Engineering,Campus de Couros, University of Minho School of Engineering,Campus de Couros, Guimarães, Portugal

    Paulo Garrido

  2. School of Engineering,Campus de Couros, University of Minho School of Engineering,Campus de Couros, Guimarães, Portugal

    Filomena Soares

  3. Faculty of Engineering, University of Porto Faculty of Engineering, Porto, Portugal

    António Paulo Moreira

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Vrančić, D., Oliveira, P.M., Cvejn, J. (2017). The Model-Based Disturbance Rejection with MOMI Tuning Method for PID Controllers. In: Garrido, P., Soares, F., Moreira, A. (eds) CONTROLO 2016. Lecture Notes in Electrical Engineering, vol 402. Springer, Cham. https://doi.org/10.1007/978-3-319-43671-5_8

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  • DOI: https://doi.org/10.1007/978-3-319-43671-5_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-43670-8

  • Online ISBN: 978-3-319-43671-5

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