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Delay Equivalences in Tuning PID Control for the Double Integrator Plus Dead-Time

Author

Listed:
  • Mikulas Huba

    (Faculty of Electrical Engineering and Information Technology, Institute of Automotive Mechatronics, Slovak University of Technology, 812 19 Bratislava, Slovakia)

  • Damir Vrancic

    (Department of Computer Automation and Control, J. Stefan Institute, SI-1000 Ljubljana, Slovenia)

Abstract

The paper investigates and explains a new simple analytical tuning of proportional-integrative-derivative (PID) controllers. In combination with n th order series binomial low-pass filters, they are to be applied to the double-integrator-plus-dead-time (DIPDT) plant models. With respect to the use of derivatives, it should be understood that the design of appropriate filters is not only an implementation problem. Rather, it is also critical for the resulting performance, robustness and noise attenuation. To simplify controller commissioning, integrated tuning procedures (ITPs) based on three different concepts of filter delay equivalences are presented. For simultaneous determination of controller + filter parameters, the design uses the multiple real dominant poles method. The excellent control loop performance in a noisy environment and the specific advantages and disadvantages of the resulting equivalences are discussed. The results show that none of them is globally optimal. Each of them is advantageous only for certain noise levels and the desired degree of their filtering.

Suggested Citation

  • Mikulas Huba & Damir Vrancic, 2021. "Delay Equivalences in Tuning PID Control for the Double Integrator Plus Dead-Time," Mathematics, MDPI, vol. 9(4), pages 1-14, February.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:4:p:328-:d:494944
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    Citations

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    Cited by:

    1. Mikulas Huba & Pavol Bistak & Damir Vrancic, 2022. "Robust Stability Analysis of Filtered PI and PID Controllers for IPDT Processes," Mathematics, MDPI, vol. 11(1), pages 1-24, December.
    2. Mikulas Huba & Pavol Bistak & Damir Vrancic, 2023. "Parametrization and Optimal Tuning of Constrained Series PIDA Controller for IPDT Models," Mathematics, MDPI, vol. 11(20), pages 1-32, October.
    3. Mikulas Huba & Damir Vrancic, 2022. "Tuning of PID Control for the Double Integrator Plus Dead Time Model by Modified Real Dominant Pole and Performance Portrait Methods," Mathematics, MDPI, vol. 10(6), pages 1-25, March.

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