Assessment of Alternative Controller Tuning Techniques for Systems without Ultimate Parameters

Authors

  • Ishita Uniyal Department of Electrical Engineering, Graphic Era University, Dehradun, Uttarakhand, India – 248002
  • Padmanabh Thakur Department of Electrical Engineering, Graphic Era University, Dehradun, Uttarakhand, India – 248002
  • Parvesh Saini Department of Project Management, Asia Pacific International College, Melbourne, Victoria, Australia – 3000

DOI:

https://doi.org/10.13052/jgeu0975-1416.1316

Keywords:

PID controller, tuning techniques, particle swarm optimization, ultimate parameters, robustness

Abstract

This work presented in this article aims at designing and analysingalternate methods for tuning of the Proportional – Integral – Derivative (PID) controller for the plants that do not possess the ultimate parameters (ultimate gain and ultimate period). The motivation lies in the fact that the conventional methods such as the Ziegler-Nichols (Z-N) approach require the ultimate parameters for designing the PID controllers. However, because there exist some plants which do not have these parameters, and hence it is difficult to design controllers for such plants using conventional approaches directly. So, there is a need of using some alternative ways to design controllers for such plants. So, in the presented work, Particle Swarm Optimization (PSO), Extended Forced Oscillations (EFO), and Internal Model Control (IMC) methods have been applied for designing PID controllers suitable for such a plant. All the techniques were tested for their capability in optimizing control performance on rise time, settling time, overshoot, and error indices like Integral of Absolute Error (IAE), Integral of Squared Error (ISE), Integral of Time-Weighted Absolute Error (ITAE), and Integral of Time Squared Error (ITSE). Special attention was given to the objective function of ITAE minimization for the PSO-based PID controller. The results show that out of various approaches, the PSO-based PID controller provides the fastest response with minimum overshoot and low values of errors compared to EFO-based and IMC-based PID controllers. The EFO-based PID controller gave a mediocre performance while the IMC-based PID turned out to be the worst, giving a response that was the slowest with maximum errors. This work is carried out for a comprehensive comparison of various alternative tuning approaches, and it presents PSO-based PID as the most robust and reliable solution for plants with no ultimate parameters hence proposes it as an efficient alternative to conventional PID tuning strategies.

Downloads

Download data is not yet available.

Author Biographies

Ishita Uniyal, Department of Electrical Engineering, Graphic Era University, Dehradun, Uttarakhand, India – 248002

Ishita Uniyal is currently associated as an Assistant Professor with the Department of Electrical Engineering, Graphic Era Hill University, Dehradun (Uttarakhand, India), and as a Research Scholar, Graphic Era Deemed to be University, Dehradun. She has completed Bachelors of Technology in Electrical Engineering from GBPEC, Pauri, in the year 2014 and Masters of Engineering in Control System from Graphic Era Deemed to be University in the year 2017. Presently pursuing Ph.D. from Graphic Era Deemed to be University, Dehradun (Uttarakhand India).

Padmanabh Thakur, Department of Electrical Engineering, Graphic Era University, Dehradun, Uttarakhand, India – 248002

Padmanabh Thakur received the B. Tech. degree in Electrical Engineering from Muzaffarpur Institute of Technology, Muzaffarpur, India, in 1997; M. Tech. degree in Electrical Engineering from Udaipur, Rajasthan, India, in 2008; and Ph.D. degree in Electrical Engineering from Motilal Nehru National Institute of Technology, Allahabad, India, in 2014. Presently, he is a Professor in the Department of Electrical Engineering, Graphic Era (Deemed to be University), Dehradun, Uttarakhand, India, and holds the responsibility of Associate Editor, IEEE ACCESS. Also, he had been associated with IEEE UP Section as a Convener (IEEE SIGHT) and Executive Committee Member (IEEE UP Section).

Parvesh Saini, Department of Project Management, Asia Pacific International College, Melbourne, Victoria, Australia – 3000

Parvesh Saini is currently associated as a lecturer with Asia Pacific International College, Melbourne, Australia. He has completed Bachelors of Technology in Instrumentation and Control from Kurukshetra University, Kurukshetra (Haryana, India), in the year 2004; Masters of Engineering in Instrumentation and Control from Panjab University Chandigarh (India) in year 2008; and Ph.D. from Graphic Era Deemed to be University, Dehradun (Uttarakhand India) in 2020.

References

J. G. Ziegler and N. B. Nichols, “Optimum settings for automatic controllers,” Trans. ASME, vol. 64, no. 11, pp. 759–768, (1942).

W. Tan, “Tuning of PID controllers based on gain and phase margin specifications,” Automatica, vol. 44, no. 11, pp. 3011–3018, doi: 10.1016/j.automatica.2008.05.022 (2008).

S. Skogestad, “Simple analytic rules for model reduction and PID controller tuning,” Journal of Process Control, vol. 13, no. 4, pp. 291–309, doi: 10.1016/S0959-1524(02)00062-8 (2003).

J. Kennedy and R. Eberhart, “Particle swarm optimization,” Proceedings of ICNN’95 – International Conference on Neural Networks, Perth, WA, Australia, pp. 1942–1948, doi: 10.1109/ICNN.1995.488968 (1995).

L. A. Zadeh, “Fuzzy logic,” Computer, vol. 21, no. 4, pp. 83–93, doi: 10.1109/2.53 (1988)

W. Tan, “Tuning of PID controllers based on gain and phase margin specifications,” Automatica, vol. 44, no. 11, pp. 3011–301, doi: 10.1016/j.automatica.2008.05.022 (2008).

M. Morari and E. Zafiriou, Robust Process Control. Englewood Cliffs, NJ, USA: Prentice-Hall, (1989).

University of Michigan, “Aircraft Pitch: System Modeling in Control Tutorials for MATLAB & Simulink,” [Online]. Available: http://ctms.engin.umich.edu.

J. D. Anderson, Introduction to Flight, 8th ed. New York, NY, USA: McGraw-Hill Education, (2017).

R. C. Nelson, Flight Stability and Automatic Control, 2nd ed. New York, NY, USA: McGraw-Hill, (1998).

B. L. Stevens and F. L. Lewis, Aircraft Control and Simulation, 2nd ed. Hoboken, NJ, USA: Wiley, (2003).

A S. Bazanella, L. F. A. Pereira, and A. Parraga, “A new method for PID tuning including plants without ultimate frequency,” IEEE Transactions on Control Systems Technology, vol. 25, no. 2, pp. 637-644, doi: 10.1109/TCST.2016.2557723 (2017).

D. E. Seborg, T. F. Edgar, and D. A. Mellichamp, Process Dynamics and Control, 3rd ed. Hoboken, NJ, USA: Wiley, (2010).

W. Cui, W. Tan, D. Li, Y. Wang and S. Wang, “A Relay Feedback Method for the Tuning of Linear Active Disturbance Rejection Controllers,” in IEEE Access, vol. 8, pp. 4542–4550, doi: 10.1109/ACCESS.2019.2963419 (2020).

L. R. da Silva, R. C. C. Flesch, and J. E. Normey-Rico, “PID algorithm based on GPC for second-order models with input and output constraints,” IFAC-PapersOnLine, vol. 58, no. 7, pp. 7–12, doi: 10.1016/j.ifacol.2024.08.002 (2024).

Š. Bucz, A. Kozáková, and V. Veselý, “Robust PID controller design for performance based on ultimate plant parameters,” IFAC-PapersOnLine, vol. 48, no. 14, pp. 388–395, doi: 10.1016/j.ifacol.2015.09.488 (2015).

S. Bucz, V. Veselý, A. Kozáková, and S. Kozák, “A novel PID controller design methodology for specified performance using ultimate plant parameters,” IFAC Proceedings Volumes, vol. 47, no. 3, pp. 4909–4914, doi: 10.3182/20140824-6-ZA-1003.02472 (2014).

T.-Y. Guo, L.-S. Lu, S.-Y. Lin, and C. Hwang, “Design of maximum-stability PID controllers for LTI systems based on a stabilizing-set construction method,” Journal of the Taiwan Institute of Chemical Engineers, vol. 135, Art. no. 104366, doi: 10.1016/j.jtice.2022.104366 (2022).

C. Lu, R. Tang, C. Li, J. Nwoke, J. Viola, and Y. Chen, “A fast relay feedback auto-tuning tilt-integral-derivative (TID) controller method with the fractional-order Ziegler–Nichols approach,” ISA Transactions, vol. 150, pp. 322–337, doi: 10.1016/j.isatra.2024.05.009 (2024).

Y. Li, J. Bi, W. Han, and W. Tan, “Tuning of PID/PIDD2 controllers for integrating processes with robustness specification,” ISA Transactions, vol. 140, pp. 224–236, doi: 10.1016/j.isatra.2023.05.015 (2023).

O Miguel-Escrig and J.-A. Romero-Pérez, “Improving the identification from relay feedback experiments,” Automatica, vol. 135, Art. no. 109987, doi: 10.1016/j.automatica.2021.109987 (2022).

M. Hofreiter, “Relay Feedback Identification with Shifting Filter for PID Control,” IFAC-PapersOnLine, vol. 53, no. 2, pp. 10701–10706, doi: 10.1016/j.ifacol.2020.12.2847 (2020).

C. Lorenzini, A. S. Bazanella, L. F. A. Pereira, and G. R. G. da Silva, “The generalized forced oscillation method for tuning PID controllers,” ISA Transactions, vol. 87, pp. 68–87, doi: 10.1016/j.isatra.2018.11.014 (2019).

P. Saini, P. Thakur, R. C. Bansal, A. Dixit, V. Shrivastava and J. Kumar, “Design of Controller for Brushless DC Motor Using a Hybrid Optimization Technique,” 2022 IEEE 10th Power India International Conference (PIICON), New Delhi, India, pp. 1–6, doi: 10.1109/PIICON56320.2022.10045261 (2022).

Downloads

Published

2025-02-18

How to Cite

Uniyal, I., Thakur, P., & Saini, P. (2025). Assessment of Alternative Controller Tuning Techniques for Systems without Ultimate Parameters. Journal of Graphic Era University, 13(01), 119–138. https://doi.org/10.13052/jgeu0975-1416.1316

Issue

Section

Articles