10th International Science Congress (ISC-2020) will be Postponed to 8th and 9th December 2021 Due to COVID-19.  International E-publication: Publish Projects, Dissertation, Theses, Books, Souvenir, Conference Proceeding with ISBN.  International E-Bulletin: Information/News regarding: Academics and Research

Open Loop Step test used for Process Identification and PID tuning controller by Genetic Algorithms

Author Affiliations

  • 1Universidad Autonoma de Campeche, MÉXICO
  • 2Instituto de Ingenieria, Universidad Veracruzana, MEXICO

Res. J. Recent Sci., Volume 5, Issue (1), Pages 16-26, January,2 (2016)

Abstract

In this article a proposal to solve two control problems from multiple point identification process frequency response of linear models, using an open loop step, is presented. The identified points are used, in one case a PID controller tuning, and the other application deals with transfer function modeling problem, both problems are stated as a nonlinear least squares unconstrained minimization problem. The optimization problem is solved with a simple genetic algorithm.

References

  1. Åström K.J. and Hägglund T. (1995), PID Controllers:Theory, Design and Tuning, Second Edition, InstrumentSociety of America, Research Triangle Park. NC.
  2. Kristiansson B. and Lennartson B. (2006), Robust tuningof PI and PID Controllers, IEEE Control SystemsMagazine 26(1): 55-69.
  3. Ziegler G. and Nichols N.B. (1942), Optimum Settingsfor Automatic Controllers, Trans. ASME, 64(11), 759-768.
  4. Hang C.C., Åström K.J. and Wang Q.G. (2002), Relayfeedback auto-tuning of process controllers, A tutorialreview, IFAC, Journal of Process Control, 12(1), 143–162.
  5. Liu T., Wang Q.G. and Huang H.P. (2013), A tutorialreview on process identification from step or relayfeedback test, Journal of Process Control, 23(1), 1597–1623.
  6. Padhy P.K. and Majhi S. (2006), Relay based PI_PIDdesign for stable and unstable FOPDT processes, Computer and Chemical Engendering, 30(5), 790-796.
  7. Wang Q.C. and Zhang Y. (2001), Robust identificationof continuous systems with dead time from stepresponses, Automatica, 37(1), 377-390.
  8. Shin G.W., Song Y.J., Lee T.B. and Choi H.K. (2007), Genetic Algorithm for Identification of Time DelaySystems from Step Responses, International Journal ofControl, Automation, and Systems, 5(1), 79-85.
  9. Liu T. and Shao C. (2012), Closed-loop stepidentification of low-order continuous-time processmodel with time delay for enhanced controllerautotuning, Int. J. Systems, Control and Communications,4(4), 225-249.
  10. Liu T. and Gao F. (2010), A frequency domain stepidentification method for continuous-time, Journal ofProcess Control, 20(1), 800-809.
  11. Gavin H.P. (2013)., The Levenberg-Marquardt methodfor nonlinear least squares curve-fitting problems, Department of Civil and Environmental EngineeringDuke University.
  12. Griva S.G. Nash and Ariela S. (2009), Linear andNonlinear Optimization, Second Edition. Society forIndustrial Mathematics, United States of America.
  13. Åström K.J. and Hägglund T. (1984)., Automatic Tuningof simple controllers with specification on phase andamplitude margins, Automatica, 20(5), 645-51.
  14. Jamshidi M., Coelho L. (2003). Santos Dos, KrohlingR.A. and Fleming P.J., Robust Control Systems withGenetic Algorithms, CRC Press LLC.
  15. Wang Q.G., Chieh CC and Bi Q. (1997)., A Frequencydomain controller design method, Chemical EngineeringResearch and Design, 75, 64-72.
  16. Coello Coello C.A., Van Veldhuizen D.A. and LamontG.B. (2007), Evolutionary Algorithms for Solving MultiObjectiveProblems, Springer.
  17. Fleming P.J. and Purshouse R.C. (2001), GeneticAlgorithms in Control Systems Engineering, Departmentof Automatic Control Systems Engineering University ofSheffield, SI 3JD, Research Report No. 789.
  18. Goldberg D.E. (1989), Genetic Algorithms in Search, Optimization, and Machine Learning, Addison Wesley.
  19. Wang Q.G. (1997)., Process Frequency ResponseEstimation from Relay Feedback, Control Eng. Practice,5(9), 1293-1302.
  20. Zhou K. and Doyle J.C. (1998), Essentials of RobustControl, Prentice Hall.
  21. Doyle J., Francis B.A. and Tannenbaum A.R. (1992), Feedback Control Theory, Macmillan PublishingCompany.