Optimal and Analytical Tuning of I-PD Controllers for Controlling Stable Processes with Inverse Response

Yıl 2020, Cilt: 8 Sayı: 3, 260 - 265, 30.07.2020

İbrahim Kaya

https://doi.org/10.17694/bajece.746352

Cited By: 1

Öz

A positive zero in the transfer function of a process causes an initial response in opposite to the final steady-state. This characteristic is known as inverse response and makes the control more challenging. In the literature, usually, well known tree term controllers, that is, Proportional-Integral-Derivative (PID) controllers, are used to control such processes. In this paper, simple analytical expressions have been derived to find optimum tuning parameters of I-PD controllers to control open loop stable processes with time delay and a positive zero. Time weighted versions of Integral of Squared Error (ISE) criterion, namely ISTE, IST2E and IST3E criteria, which have been proved to be resulting in quite satisfactory closed loop responses, have been used to derive optimum tuning rules. Effectiveness of obtained tuning rules has been shown by simulation examples.

Anahtar Kelimeler

PID, I-PD, Stable process, Inverse response

Kaynakça

• K. J. Åström and T. Hägglund, PID controllers: theory, design and tuning. 1995.
• W. L. Luyben, “Tuning Proprotional-Integral Controllers for Processes with Both Inverse Response and Deadtime,” Ind. Eng. Chem. Res., vol. 39, no. 4, pp. 973–976, 2000.
• W. L. Luyben, “Identification and Tuning of Integrating Processes with Deadtime and Inverse Response,” Ind. Eng. Chem. Res., vol. 42, no. 13, pp. 3030–3035, 2003.
• I.-L. Chien, Y.-C. Chung, B.-S. Chen, and C.-Y. Chuang, “Simple PID Controller Tuning Method for Processes with Inverse Response Plus Dead Time or Large Overshoot Response Plus Dead Time,” Ind. Eng. Chem. Res., vol. 42, no. 20, pp. 4461–4477, 2003.
• N. S. Pai, S. C. Chang, and C. T. Huang, “Tuning PI/PID controllers for integrating processes with deadtime and inverse response by simple calculations,” J. Process Control, vol. 20, no. 6, pp. 726–733, 2010, doi: 10.1016/j.jprocont.2010.04.003.
• J. C. Jeng and S. W. Lin, “Robust proportional-integral-derivative controller design for stable/integrating processes with inverse response and time delay,” Ind. Eng. Chem. Res., vol. 51, no. 6, pp. 2652–2665, 2012, doi: 10.1021/ie201449m.
• I. Kaya and H. Cengiz, “Optimal Analytical PI and PID Tuning Rules for Controlling Stable Processes with Inverse Response,” in 10th International Conference on Electrical and Electronics Engineering Conference, ELECO 2017, 2017, pp. 1355–1359.
• I. Kaya and H. Cengiz, “Optimal Tuning of PI/PID Controllers for Integrating Processes with Inverse Response,” in International Conference on System Theory, Control and Computing, ICSTCC 2017, 2017, pp. 722–727.
• M. Irshad and A. Ali, “Optimal tuning rules for PI/PID controllers for inverse response processes,” IFAC-PapersOnLine, vol. 51, no. 1, pp. 413–418, 2018, doi: 10.1016/j.ifacol.2018.05.063.
• I. Kaya, “PI-PD controllers for controlling stable processes with inverse response and dead time,” Electr. Eng., vol. 98, no. 1, pp. 299–305, 2016, doi: 10.1007/s00202-015-0352-3.
• R. Eberhart and James Kennedy, “A New Optimizer Using Particle Swarm Theory,” Sixth Int. Symp. Micro Mach. Hum. Sci., 1999, doi: 10.1.1.470.3577.
• M. T. Özdemir, D. Öztürk, I. Eke, V. Çelik, and K. Y. Lee, “Tuning of Optimal Classical and Fractional Order PID Parameters for Automatic Generation Control Based on the Bacterial Swarm Optimization,” IFAC-PapersOnLine, 2015, doi: 10.1016/j.ifacol.2015.12.429.
• R. Eberhart and J. Kennedy, “A new optimizer using particle swarm theory,” pp. 39–43, 2002, doi: 10.1109/mhs.1995.494215.
• D. E. Seborg, T. F. Edgar, D. A. Mellichamp, and F. J. Doyle III, Process Dynamics and Control, 3rd ed. John Wiley & Sons, Inc., 2011.