Browse > Article

Optimum Tuning of Modified PID Controller using Properties of the Affine Set  

Kim Chang-Hyun (Dep. of Electrical Eng., Graduate School, Hanyang University)
Lim Dong-Kyun (Dep. of Computer, Science Hanyang Cyber University)
Suh Byung-Sulh (Div. of Electrical, Control and Biomedical Eng. Hanyang University)
Publication Information
Journal of the Institute of Electronics Engineers of Korea SC / v.42, no.6, 2005 , pp. 15-22 More about this Journal
Abstract
In this paper, we propose a PID-PD controller and its tuning method to be modified form of PID controller that consist of the affine set of PID and PI-PD controller by analyzing relation between these controllers. The proposed tuning method controls the closed-loop system to locate between the step responses of system controlled by PID and PI-PD controller. The controller is designed by the optimum tuning method to minimize the proposed specific cost functions. Its effectiveness is examined by the case studies and their analysis.
Keywords
PID-PD; PID; PI-PD; affine set; optimum tuning; ISE;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 S. Boyd and C. Barratt, 'Linear controller : limits of performance,' Prentice Hall, Englewood Cliffs, NJ, 1991
2 I. Kaya, N. Tan and D. P. Atherton, 'A simple procedure for improving performance of PID controllers,' Control Applications, CCA 2003., Proc. of 2003 IEEE Conf., Vol. 2, pp. 882-885, 2003   DOI
3 S. Boyd, C. Barratt and S. Norman, 'Linear controller design : limits of performance via convex optimization,' Proc. of the IEEE, Vol. 78, no. 3, pp. 529-574, March 1990   DOI   ScienceOn
4 S. Majhi and D. P. Atherton, 'Autotuning and controller design for processes with small time delays,' lEE proc., Control Theory and Applications, Vol. 146, no. 5, pp. 415-425, 1999   DOI   ScienceOn
5 A. Datta, M. T. Ho and S. P. Bhattacharyya, 'Structure and Synthesis of PID Controllers,' Springer, Advances in Industrial Control, 2000
6 D. P. Atherton and S. Majhi, 'Limitations of PID controllers,' Proc. of the American Control Conf., Vol. 6, pp, 3843-3847, June 1999   DOI
7 J. H. Park, S. W. Sung and I. B. Lee, 'An enhanced PID control strategy for unstable processes,' Automatica, Vol. 34, no. 6, pp. 751-756, 1998   DOI   ScienceOn
8 H. J. Kwak, S. W. Sung and I. B. Lee, 'On-line process identification and autotuning for integrating processes,' Ind. Eng. Chem. Res., Vol. 36, pp. 5329-5338, 1997   DOI   ScienceOn
9 K. J. Astrom and T. Hagglund, 'PID Controllers : Theory, Design, and Tuning,' Instrument Society of America, 1995
10 M. Morari and E. Zafiriou, 'Robust process control,' Prentice Hall, Englewood Cliffs, NJ., 1989
11 임동균, 김창현, 서병설, '루프 형성 기법을 이용한 IMC-PID 제어기 설계, ' 전자공학회 논문지, 제42 권 SC편, 제3호, 11-16쪽, 2005년 5월   과학기술학회마을
12 J. G. Ziegler and N. B. Nichols, 'Optimum settings for automatic controllers,' Trans. ASME, Vol 64, pp. 759 - 768, 1942
13 S. Boyd and L. Vandenberghe, 'Convex optimization,' Cambridge, UK, NY., 2004
14 C. L. Chen, 'A simple method for on-line identification and controller tuning,' Journal of AIChE, Vol. 35, no. 12, pp. 2037-2039, Dec 1989   DOI
15 J. T. Lee, W. H. Cho and T. F. Edgar, 'An improved technique for PID controller tuning from closed-loop tests,' Journal of AIChE, Vol. 36, no. 12, pp. 1891-1895, Dec 1990   DOI
16 M. Yuwana and D. E. Seborg, 'A new method for on-line controller tuning,' Journal of AIChE, Vol. 28, no. 3, pp. 434-440, May 1982   DOI
17 K. J. Astrom and T. Hagglund, 'Automatic tuning of simple regulators with specifications on phase and amplitude margins,' Automatica, Vol. 20, no. 5, pp. 645-651, 1984   DOI   ScienceOn
18 C. C. Valentine and M. Chidambaram, 'PID control of unstable time delay systems,' Chem. Eng. Comm., Vol. 162, pp. 63-74, 1997   DOI   ScienceOn