KaydedilenlerDerginizi ekleyin

Dergiler / Gazi Mühendislik Bilimleri Dergisi / 2025 / Volume: 11 Issue: 3

PID Controller Design Based on CCSR for Integrating Systems with Time Delay

Cem Onat(ADIYAMAN UNIVERSITY)0000-0002-4295-4860
Sayfa
—
Yayın Tarihi
2025-12-31
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Comparative simulation studies show that the PID controller designed with the proposed method have been provided good settling time performance.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Time-delayed integral processes are frequently encountered and difficult to control, especially in the chemical industry.
📊
Temel Bulgular & Veri:There are several basic reasons why integral systems are difficult to control.
💡
Sonuç & Katkı:Comparative simulation studies show that the PID controller designed with the proposed method have been provided good settling time performance.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Integrating process · PID control · Convex staility region

Abstract

Time-delayed integral processes are frequently encountered and difficult to control, especially in the chemical industry. There are several basic reasons why integral systems are difficult to control. The most critical of these are memory effect, delays and complex tuning requirements. In this study, a PID (Proportional - Integral - Derivative) control design procedure is presented for time-delayed integral processes. The procedure is based on the calculation of the convex stability region center. In the first stage of the proposed PID design procedure, the kd (derivative gain) value that maximizes the area of the stabilizing kp - ki (proportional and integral gains) parameters region without disturbing the convexity with respect to the kp axis is selected. Then, the coordinates of the convex stability region center obtained for this value and the parameters kp and ki are determined. The proposed design procedure is a computational method with graphical evaluation. It does not use any iterative method. Another feature that distinguishes the proposed design procedure from its counterparts is that it does not require any filters, weight functions or extra parameters. In this respect, the procedure does not overshadow the simplicity feature, which is the biggest advantage of PID controllers in practice. Comparative simulation studies show that the PID controller designed with the proposed method have been provided good settling time performance.

🔖

Bu Makaleye Atıf Yap

Onat, C. (2025). PID Controller Design Based on CCSR for Integrating Systems with Time Delay. Gazi Mühendislik Bilimleri Dergisi, Volume: 11 Issue: 3. https://ajindex.com/articles/1397345

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (42)

  1. L. Yiming, 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, September 2023. doi: 10.1016/j.isatra.2023.05.015
  2. S. Yu and X. Li, “Proportional–Integral–Derivative Controller Performance Assessment and Retuning Based on General Process Response Data,” ACS Omega, vol. 6, no.15, pp. 10207-10223, 2021. doi: 10.1021/acsomega.1c00523
  3. C. Anil and R. P. Sree, “Tuning of PID controllers for integrating systems using direct synthesis method,” ISA Transactions, vol. 57, pp. 211–219, 2015. doi: 10.1016/j.isatra.2015.03.002
  4. B. W. Bequette, Process control modeling, design and simulation, NewDelhi: Prentice-Hall, 2003.
  5. S. Kumar and M. Ajmeri, “Analytically designed dual-loop fractional-order IMC for integrating plants with inverse behavior,” International Journal of Dynamics and Control, vol. 42, 2024. doi: 10.1007/s40435-024-01421-8
  6. L. Wang and W. R. Cluett, “Tuning PID.Controllers for integrating processes,” IEE Proceedings - Control Theory and Applications, vol. 144, no, 1997. doi: 10.1049/ip-cta:1997143
  7. L. Bodizs, M. Titica, N. Faria, B. Srinivasan, D. Dochain and D. Bonvin, “Oxygen control for an industrial pilot scale fed batch filamentous fungal fermentation,” Journal of Process Control, vol. 17, pp. 595–606, 2007. doi: 10.1016/j.jprocont.2007.01.019
  8. M. A. Gomez and A. Egorov, “A Lyapunov-Krasovskii based approach to observability and detectability of linear time-delay systems,” IFAC-PapersOnLine, vol. 58, no. 27, pp. 213–218, 2024. doi: 10.1016/j.ifacol.2024.10.326
  9. C. Onat, I. B. Kucukdemiral, S. Sivrioglu and I. Yuksek, “LPV model based gain-scheduling controller for a full vehicle active suspension system,” Journal of Vibration and Control, vol. 13, no.11, pp. 1629-1666, 2007. doi: 10.1177/1077546307078784
  10. C. Onat, I. B. Kucukdemiral, S. Sivrioglu, I. Yuksek and G. Cansever, “LPV gain scheduling controller design for a non-linear quarter vehicle active suspension system,” Transactions of the Institute of Measurement and Control, vol. 31, no. 1, pp.71-95, 2009. doi: 10.1177/0142331208090630
  11. J. Zhang, D. Efimov, (2020), A Lyapunov-Razumikhin condition of ISS for switched time-delaye systems under average dwell time commutation, IFAC PapersOnLine, vol. 53, no. 2, pp.1986–1991. doi: 10.1016/j.ifacol.2020.12.2568
  12. B. Şenol, U. Demiroǧlu, and R. Matušů, “Analytical approach on the design of fractional order proportional-integral controller for second order plus time delay models,” Journal of the Faculty of Engineering and Architecture of Gazi University, vol. 37, no. 1, pp. 121–136, 2022. doi: 10.17341/gazimmfd.879929
  13. Y. Wei, Y. Hu, Y. Dai, and Y. Wang, “A generalized padé approximation of time delay operator,” International Journal of Control, Automation and Systems., vol. 14, no. 1, pp. 181–187, 2016. doi: 10.1007/s12555-013-0240-4
  14. M. M Özyetkin and D. Astekin, “Zaman gecikmeli sistemler için Padé yaklaşımı ve kesirli dereceli PI kontrolör için yeni bir tasarım metodu,” Journal of the Faculty of Engineering and Architecture of Gazi University, vol. 38, no. 2, pp. 639-651, 2023. doi:10.17341/gazimmfd.948709
  15. M. M. Ozyetkin, C. Onat and Tan, N. “PI-PD controller design for time delay systems via the weighted geometrical center method,” Asian Journal of Control, vol. 22, no. 5, pp. 1811-1826, 2020. doi: 10.1002/asjc.2088
  16. C. Onat, “WGC based robust and gain scheduling PI controller design for condensing boilers,” Advances in Mechanical Engineering, vol. 2014, 659051, 2014. doi:10.1155/2014/659051
  17. C. Onat, “Bir Motorda Yakıt Hava Oranının Denetimini Kararlı Kılan PI Denetçilerinin Çözümlemesi,” Mühendis ve Makina, vol. 53. no. 626, pp. 42-45, 2012.
  18. C. Onat, “A new concept on PI design for time delay systems: Weighted geometrical center,” International Journal of Innovative Computing, Information and Control, vol. 9, no. 4, pp. 1539-1556, 2013.
  19. C. Onat, M. Daskin, A. Turan and Ö. Özgüven, “Manyetik Levitasyon Sistemleri İçin Ağırlıklı Geometrik Merkez Yöntemi ile PI-PD Kontrolcü Tasarımı,” Mühendis ve Makina, vol. 62, no. 704, pp. 556-579, 2021. doi: 10.46399/muhendismakina.910501
  20. Y. Guler and I. Kaya, “Load Frequency Control of Single-Area Power System with PI–PD Controller Design for Performance Improvement,” Journal of Electrical Engineering and Technology, vol. 18, pp. 2633–2648, 2023. doi: 10.1007/s42835-022-01371-1
  21. M. Zheng, T. Huang and G. Zhang, “A New Design Method for PI-PD Control of UnstableFractional-Order System with Time Delay,” Complexity, vol. 2019, pp. 1-12, 2019. doi: 10.1155/2019/3253497
  22. A. Vasickaninova, M. Bakosova, L. Cirka, M. Kaluz and J. Oravac, “Robust controller design for a laboratory heat exchanger,” Applied Thermal Engineering, vol. 128, pp. 1297-1309. 2018. doi: 10.1016/j.applthermaleng.2017.09.086
  23. M. Ghooi, S. Jain, and Y. V. Hote, “Proportional integral derivative controller tuning via Kronecker summation and modified particle swarm optimization with experimental validation,” Engineering Optimisation., vol. 53, no. 2, pp. 237–257, 2021. doi: 10.1080/0305215X.2020.1716745
  24. Q. B. Jin and Q. Liu, “Analytical IMC-PID design in terms of performance/robustness tradeoff for integrating processes: from 2-Dof to 1-Dof,” Journal of Process Control, vol. 24, pp.22–32, 2014. doi: 10.1016/j.jprocont.2013.12.011
  25. C. V. N. Rao and R. P. Sree, “IMC based controller design for integrating systems with time delay,” Indian Chemical Engineer, vol. 52, no. 3, pp. 194–218, 2010. doi: 10.1080/00194506.2010.547972
  26. A. S. Rao, V. S. R. Rao and M. Chidambaram, “Direct synthesis-based contr oller design for integrating processes with time delay,” Journal Franklin Institute, vol. 346, pp. 38–56, 2009. doi: 10.1016/j.jfranklin.2008.06.004
  27. R. P. Sree and M. Chidambaram, “Simple and robust method of tuning PID controller for integrator/dead time processes,” Journal of Chemical Engineering of Japan, vol. 38, pp. 113–9, 2005.
  28. P. Srivastava, A. Gupta and N. Kaistha, “Sustainable Glycerol Carbonate Manufacturing: Process, Synthesis, Design, and Control,” Industrial & Engineering Chemistry Research, vol. 63, no. 4, pp. 1926-1940, 2024. doi: 10.1021/acs.iecr.3c02513
  29. M. Shamsuzzoha and M. Lee, “Enhanced disturbance rejection for open-loop unstable process with time delay,” ISA Transactions, vol. 48, pp. 237–44, 2009. doi: 10.1016/j.isatra.2008.10.010
  30. 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,” Journal of Process Control, vol. 20, pp. 726–733, 2010. doi: 10.1016/j.jprocont.2010.04.003
  31. A. Ali and S. Majhi, “Integral criteria for optimal tuning of PI/PID controllers for integrating processes,” Asian Journal of Control, vol. 13, no. 2, pp. 328–37, 2011. doi: 10.1002/asjc.278
  32. G. Syrcos and I. K. Kookos, “PID controller tuning using mathematical programming,” Chemical Engineering and Process,ing: Process Intensification, vol. 44, pp. 41–9, 2005. doi: 10.1016/j.cep.2004.04.001
  33. I. Kaya, “PI-PD controllers for controlling stable processes with inverse response and dead time,” Electrical Engineering, vol. 98, pp. 55–65, 2016. doi: 10.1007/s00202-015-0352-3
  34. I. Kaya, “PI-PD controller design for control of unstable and integrating processes,” ISA Transactions, vol. 42, pp. 1–21, 2003. doi: 10.1016/S0019-0578(07)60118-9
  35. N. Tan, “Computation of stabilizing PI-PD controllers,” International Journal of Control, Automation and Systems, vol. 7, no. 2, pp. 175–84, 2009. doi: 10.1007/s12555-009-0203-y
  36. C. Onat, “A new design method for PI–PD control of unstable processes with dead time.” ISA Transactions., vol. 84, pp.69–81, 2019. doi: 10.1016/j.isatra.2018.08.029
  37. H. İrgan, R. Menak and N. Tan, “A comparative study on PI-PD controller design using stability region centroid methods for unstable, integrating and resonant systems with time delay,” Measurement and Control, vol. 2024, pp.1-21, 2024. doi: 10.1177/00202940241253114
  38. M. M. Ozyetkin, C. Onat and N. Tan, “PID tuning method for integrating processes having time delay and inverse response,” IFAC-PapersOnLine vol. 51, no.4, pp. 274–279, 2018. doi: 10.1016/j.ifacol.2018.06.077
  39. K. Sharma, A. K. Yadav and B. B. Sharma, “Kharitonov theorem-based robust control approach for sustainable microgrid against DoS cyber-attack,” Digital Chemical Engineering, vol. 7, pp.1-8, 100099, 2023. doi: 10.1016/j.dche.2023.100099
  40. N. S. Pai, S. C. Chang and C. T. Huang, “Tuning PI/PID controllers for integrating processes with dead time and inverse response by simple calculations,” Journal of Process Control, vol. 20, no. 6, pp. 726–33, 2010. doi: 10.1016/j.jprocont.2010.04.003
  41. S. Yu and X. Li, “Proportional–Integral–Derivative Controller Performance Assessment and Retuning Based on General Process Response Data,” ACS Omega, vol. 6, no.15, pp. 10207-10223, 2021. doi: 10.1021/acsomega.1c00523
  42. M. Zheng, T. Huang and G. Zhang, “A New Design Method for PI-PD Control of UnstableFractional-Order System with Time Delay,” Complexity, vol. 2019, pp. 1-12, 2019. doi: 10.1155/2019/3253497