**Page description appears here**

“A Semi-Heuristic Process-Reaction Curve PID Controller Tuning Method”

Authors: Christer Dalen and David Di Ruscio,
Affiliation: University College of Southeast Norway
Reference: 2018, Vol 39, No 1, pp. 37-43.

     Valid XHTML 1.0 Strict


Keywords: PID controller, tuning, double integrating system, relative time delay error, semi-heuristic, robustness, performance, Pareto-Optimal, Process-Reaction Curve, Ziegler-Nichols, lag

Abstract: A simple semi-heuristic method for designing PID controllers for time constant models are shown to be close to optimal. A Process-Reaction Curve method is proposed, composed by a method for approximating stable time constant models with an unstable DIPTD model, and relative time delay error delta-PID controller tuning. The Pareto-Optimal controller is used as reference.

PDF PDF (508 Kb)        DOI: 10.4173/mic.2018.1.4





References:
[1] Aastrom, K.J., Panagopoulos, H., and Haegglund, T. (1998). Aastrom, K, J., Panagopoulos, H., and Haegglund, T. Design of pi controllers based on non-convex optimization. Automatica. 34(5):585--601. doi:10.1016/S0005-1098(98)00011-9
[2] Balchen, J. (1958). Balchen, J, A Performance Index for Feedback Control Systems Based on the Fourier Transform of the Control Deviation. Acta polytechnica Scandinavica: Mathematics and computing machinery series. Norges tekniske vitenskapsakademi. .
[3] Balchen, J.G., Andresen, T., and Foss, B.A. (1999). Balchen, J, G., Andresen, T., and Foss, B.A. Reguleringsteknikk. Tapir. In norwegian. First edition. .
[4] Balchen, J.G. and Lie, B. (1987). Balchen, J, G. and Lie, B. An Adaptive Controller Based upon Continuous Estimation of the Closed Loop Frequency Response. Modeling, Identification and Control. 8(4):223--240. doi:10.4173/mic.1987.4.3
[5] Cohen, G. and Coon, G. (1952). Cohen, G, and Coon, G. Theoretical consideration of retarded control. Transactions of ASME. 75(1):827--834. doi:10.4173/mic.2017.4.3
[6] Coughanowr, D. (1991). Coughanowr, D, Process Systems Analysis and Control. McGraw-Hill chemical engineering series. McGraw-Hill. .
[7] Dalen, C. and DiRuscio, D. (2017). Dalen, C, and DiRuscio, D. PD/PID controller tuning based on model approximations: Model reduction of some unstable and higher order nonlinear models. Modeling, Identification and Control. 38(4):185--197. doi:10.4173/mic.2017.4.3
[8] DiRuscio, D. (1996). DiRuscio, D, Combined Deterministic and Stochastic System Identification and Realization: DSR - A Subspace Approach Based on Observations. Modeling, Identification and Control. 17(3):193--230. doi:10.4173/mic.1996.3.3
[9] DiRuscio, D. (2009). DiRuscio, D, Closed and Open Loop Subspace System Identification of the Kalman Filter. Modeling, Identification and Control. 30(2):71--86. doi:10.4173/mic.2009.2.3
[10] DiRuscio, D. and Dalen, C. (2017). DiRuscio, D, and Dalen, C. Tuning PD and PID Controllers for Double Integrating Plus Time Delay Systems. Modeling, Identification and Control. 38(2):95--110. doi:10.4173/mic.2017.2.4
[11] Grimholt, C. and Skogestad, S. (2016). Grimholt, C, and Skogestad, S. Optimization of fixed-order controllers using exact gradients. 2016. http://folk.ntnu.no/skoge/publications/2016/grimholt-jpc-pid-exact-gradient/main.pdf, Unpublished. .
[12] Ljung, L. (1999). Ljung, L, System Identification (2nd ed.): Theory for the User. Prentice Hall PTR, Upper Saddle River, NJ, USA. .
[13] Luyben, W. (1990). Luyben, W, Process Modeling, Simulation, and Control for Chemical Engineers. Chemical engineering series. McGraw-Hill. .
[14] MATLAB. (2016). MATLAB, Version 9.1.0.441655 (R2016b). The MathWorks Inc., Natick, Massachusetts, USA. Control System Toolbox, Version 9.3. Optimization Toolbox, Version 6.2. .
[15] R.Kumar, V.C., S.K.Singla. (2015). R, Kumar, V.C., S.K.Singla. Comparison among some well known control schemes with different tuning methods. Journal of Applied Research and Technology. 13(3):409 -- 415. doi:10.1016/j.jart.2015.07.007
[16] Seborg, D., Edgar, T., and Mellichamp, D. (2004). Seborg, D, , Edgar, T., and Mellichamp, D. Process dynamics and control. Wiley series in chemical engineering. Wiley. .
[17] Skogestad, S. (2003). Skogestad, S, Simple analytic rules for model reduction and PID controller tuning. Journal of Process Control. 13(13):291--309. doi:10.1016/S0959-1524(02)00062-8
[18] Skogestad, S. and Grimholt, C. (2012). Skogestad, S, and Grimholt, C. The SIMC Method for Smooth PID Controller Tuning, pages 147--175. Springer London, London. doi:10.1007/978-1-4471-2425-2_5
[19] Smith, C. and Corripio, A. (1997). Smith, C, and Corripio, A. Principles and practice of automatic process control. J. Wiley. .
[20] Ziegler, J. and Nichols, N.B. (1942). Ziegler, J, and Nichols, N.B. Optimum settings for automatic controllers. Trans. of the A.S.M.E.. 64(64):759--768. .


BibTeX:
@article{MIC-2018-1-4,
  title={{A Semi-Heuristic Process-Reaction Curve PID Controller Tuning Method}},
  author={Dalen, Christer and Di Ruscio, David},
  journal={Modeling, Identification and Control},
  volume={39},
  number={1},
  pages={37--43},
  year={2018},
  doi={10.4173/mic.2018.1.4},
  publisher={Norwegian Society of Automatic Control}
};

News

May 2016: MIC reaches 2000 DOI Forward Links. The first 1000 took 34 years, the next 1000 took 2.5 years.


July 2015: MIC's new impact factor is now 0.778. The number of papers published in 2014 was 21 compared to 15 in 2013, which partially explains the small decrease in impact factor.


Aug 2014: For the 3rd year in a row MIC's impact factor increases. It is now 0.826.


Dec 2013: New database-driven web-design enabling extended statistics. Article number 500 is published and MIC reaches 1000 DOI Forward Links.


Jan 2012: Follow MIC on your smartphone by using the RSS feed.

Smartphone


July 2011: MIC passes 1000 ISI Web of Science citations.


Mar 2010: MIC is now indexed by DOAJ and has received the Sparc Seal seal for open access journals.


Dec 2009: A MIC group is created at LinkedIn and Twitter.


Oct 2009: MIC is now fully updated in ISI Web of Knowledge.