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Performance/Robustness Improvement of i-PID with Two-Degree-of-Freedom Controller

2자유도를 가지는 지적 PID 제어기를 이용한 시스템의 성능향상

  • Choe, Yeon-Wook (Dept. of Control and Measurement Engineering, Pukyong National University)
  • Received : 2017.04.15
  • Accepted : 2017.05.17
  • Published : 2017.06.01

Abstract

This paper is concerned with applicability of two-degree-of-freedom controllers to the recently suggested i-PID controllers, in which unknown parts of the plant are taken into account without any modeling procedure. First, i-PID controller with two-degree-of-freedom is applied to a specific model, called Anisochronic model, to confirm the usefulness of this method. Second, using the original examples of i-PID controllers, it is confirmed that performance/robustness of system are to be improved due to two-degree-of-freedom, especially when the input changes suddenly. It is seen that as the desired robustness increases the optimal value of two-degree-of-freedom parameter ${\alpha}_A$ would be negative. It is checked and verified that if this value was limited to 1 or less as is generally known, performance would be degraded.

Keywords

References

  1. H. Panagopoulos, K. Astrom and T. Hagglund, "Design of PID controllers based on constrained optimization," IEE Proceedings of Control Theory Application, vol. 149, no. 1, pp. 32-40 (2002)
  2. G.M. Malwatkar, P.T. Bhosale, and S.D. Nikam,"PID Controllers Tuning for Improved Performance of Unstable Processes", Intl. Conf. on Advances in Computing, Control, and Telecommunication Technologies, pp. 624-628 (2009)
  3. A. O'Dwyer, Handbook of PI and PID Controller Tuning Rules (3rd ed.), Imperial College Press, 2009
  4. I. M. Horowitz, Synthesis of Feedback Systems, Academic Press, 1963
  5. M. Araki, "PID control system with reference feedforward (PID-FF control system)", Proc. 23rd SICE Annual Conference, pp.31-32 (1984)
  6. M. Araki and H. Taguchi, "Two-Degree-of -Freedom PID Controllers", International Journal of Control, Automation, and Systems, vol. 1, no. 4, pp. 401-411, (2003)
  7. YeonWook Choe, "Tuning PID Controller for Unstable Systems with Dead Time based on Dual-Input Describing Function Method", KIEE vol. 63, No. 4, pp. 509-518 (2014)
  8. M. Fliess and C. Join, "Intelligent PID controllers", Proceedings of the 16th Mediterranean Conference on Control and Automation, pp. 326-331 (2008)
  9. P.H. Chang, J.H. Jung, "A systematic method for gain selection of robust PID control for nonlinear plants of second-order controller canonical form", IEEE Trans. Control System Technology, vol. 17, pp. 473-483 (2009) https://doi.org/10.1109/TCST.2008.2000989
  10. M. Fliess and C. Join, "Commande sans modele et commande a modele restreint", e-STA, vol. 5, pp. 1-23 (2008) (http://hal.inria.fr/inria-00288107/en/)
  11. M. Fliess and C. Join, "Model-free control and intelligent PID controllers: Towards a possible trivialization of nonlinear control?", Proceedings of the 15th IFAC Symposium on System Identification, pp. 1531-1541 (2009)
  12. J. Wang, H. Mounier, A. Cela and S.I. Niculescu, "Event driven intelligent PID controllers with applications to motion control", Proceedings of the 18th IFAC World Congress, pp. 10080-10085 (2011)
  13. YeonWook Choe, "Design and Performance Analysis of PID type Controllers for Automatic Voltage Regulator (AVR) System based on i-PID, GPI and OCD Methods", KIEE vol. 65, No. 6, pp. 1383-1391 (2016)
  14. P. Zitek, "Time-Delay Control Systems Using Functional State Models", CTU Reports, Czech Technical University, Prague, Czech Republic (1998)
  15. T. Vyhlidal and P. Zitek, "Anisochronic Internal Model Control Design", Acta Polytechnica, vol. 43, no.5, pp.54-59 (2003)
  16. T. Vyhldal, "Anisochronic first order model and its application to internal model control", in Proceedings of XXIV ASR 2000 Seminar Instruments and control, 2000, 4-5 May, Czech Republic
  17. M. Espinoza, etc.,"Robustness/Performance tradeoff for anisochronic plants with two degrees of freedom PID controllers", 2015 IEEE Conference on Control Applications (CCA), pp. 1230-1235 Sept. 2015, Australia
  18. LI Mingda, WANG Jing, LI Donghai, "Performance Robustness Comparison of Two PID Tuning Methods", Proceedings of the 29th Chinese Control Conference, July 29-31, 2010, Beijing, China