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Tuning PID Controllers for Unstable Systems with Dead Time Based on Dual-Input Describing Function Method

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Book cover AETA 2015: Recent Advances in Electrical Engineering and Related Sciences

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 371))

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Abstract

Though various techniques have been studied as a way of adjusting PID parameters, no perfect method of determining parameters is available to date. Especially the design of PID controller for unstable processes with dead time (UPWDT) is even more difficult when the normalized dead time is quite large. In this paper, the Dual-Input Describing Function (DIDF) method is proposed, by which the performance and robustness of the closed-loop system can be improved. The method is based on moving the critical point (−1 + j0) of Nyquist’s stability to a new position arbitrarily selected on the complex plane. This can be done by determining appropriate coefficients of the DIDF. As a result, we can easily determine parameters of PID-type controller by using existing conventional tuning methods for stable or unstable systems. Simulation results are included to show the effectiveness of the proposed method.

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Notes

  1. 1.

    When DIDF variables k p, k q and K g are adjusted, a reaction curve is readily found.

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Authors and Affiliations

  1. Department of Control and Measurement Engineering, Pukyong National University, Busan, 608-739, South Korea

    Yeon Wook Choe

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  1. Yeon Wook Choe
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Correspondence to Yeon Wook Choe .

Editor information

Editors and Affiliations

  1. Faculty of Electrical and Electronics En, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Vo Hoang Duy

  2. MERLIN, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Tran Trong Dao

  3. Electrical Engineering and Computer Scie, VŠB—Technical University, Ostrava-Poruba, Czech Republic

    Ivan Zelinka

  4. Division of Mechanical, Korea Maritime and Ocean University, Busan, Korea (Republic of)

    Hyeung-Sik Choi

  5. Université de Picardie Jules Verne, Laboratoire MIS, Amiens Cedex 1, France

    Mohammed Chadli

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Choe, Y.W. (2016). Tuning PID Controllers for Unstable Systems with Dead Time Based on Dual-Input Describing Function Method. In: Duy, V., Dao, T., Zelinka, I., Choi, HS., Chadli, M. (eds) AETA 2015: Recent Advances in Electrical Engineering and Related Sciences. Lecture Notes in Electrical Engineering, vol 371. Springer, Cham. https://doi.org/10.1007/978-3-319-27247-4_37

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  • DOI: https://doi.org/10.1007/978-3-319-27247-4_37

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-27245-0

  • Online ISBN: 978-3-319-27247-4

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