A New PID Tuning Method Based on Transient Response Control

where K is the gain,  is the time delay and T1 is the time constant. The value of T0 in the model is equal to 1 for the stable processes, 0 for the integrating processes, and -1 for the

Keywords:

-,

PDF

___

K. Ogata, Modern Control Engineering, Prentice-Hall, Englewood Cliffs, NJ, 1970.
J. Zheng, P. Guo, and J.D. Wang, “STFC-self-tuning fuzzy controller,” in Proc. IEEE Conf. on Systems, Man and Cybernetics, Chicago, 1992.
Y.C. Kim, L.H. Keel, and S.P. Bhattacharyya, “Transient response control via characteristic ratio assignment,” IEEE Trans. on Automatic Control, vol. 48, pp. 2238-2244, 2003.
A.S. Hauksdóttir, “Analytic expression of transfer function responses and choice of numerator coefficients (Zeros),” IEEE Trans. on Automatic Control, vol. 41, pp. 1482–1488, 1996.
S. Jung, and R.C. Dorf, “Novel analytic technique for PID and PIDA controller design,” in Proc. 13th IFAC World Congress, San Francisco, USA, 1996.
G.C. Goodwin, A.R. Woodyatt, R.H. Middleton, and J. Shim, “Fundamental limitations due to jw-axis zeros in SISO systems,” Automatica, vol. 35, pp. 857-863, 1999.
B.A. Leon de la Barra, “On undershoot in SISO systems,” IEEE Trans. on Automatic Control, vol. 39, pp. 578-581, 1994.
D. Graham, and R.C. Lathrop, “The synthesis of “optimum” transient response: criteria and standard forms,” AIEE Transactions, vol. 72, pp. 273-288, 1953.
G.F. Franklin, and J.D. Powell, and A. Emami-Naeini, “Feedback control of dynamic systems,” Addison-Wesley, 1994.
C. Kessler, “Ein beitrag zur theorie mehrschleifiger regelungen,” Regelungstechnik, vol. 8, pp. 261-266, 1960.
N.K. Sinha, Control Systems, 2nd ed. John Wiley & Sons Inc, 1994.
M. Zhuang, and D.P. Atherton, “Automatic tuning of optimum PID
controllers,” IEE Proc. D, vol. 140, pp. 216-224, 1993
P. Naslin, Essentials of Optimal Control, Boston Technical Publishers, . Massachusetts, 1969.
Y.C. Kim, L.H. Keel, and S.P. Bhattacharyya, “Transient response control via characteristic ratio assignment and pulsatance assignment,” in Proc. 21th American Control Conference, Anchorage, 2002.
S. Manabe, “Coefficient diagram method,” in Proc. 14th IFAC Symposium on Automatic Control in Aerospace, Seoul, 1998.
S.E. Hamamci, “A robust polynomial-based control for stable processes with time delay,” Electrical Engineering, vol. 87, pp. 163–172, 2005.
T. Liu, W. Zhang, and D. Gu, “Analytical design of two-degree-of- freedom control scheme for open-loop unstable processes with time delay,” Journal of Process Control, vol. 15, pp. 559–572, 2005.
A.S. Rao, and M. Chidambaram, “Enhanced two-degrees-of-freedom control strategy for second-order unstable processes with time delay,” Ind. Eng. Chem. Res., vol. 45, pp. 3604-3614, 2006.
S. Manabe, and Y.C. Kim, “Recent development of Coefficient Diagram Method,” in Proc. 3rd Asian Control Conference, Shanghai, 2000.
M. Araki, and H. Taguchi, “Two-degree-of-freedom PID controllers,” Int. J. of Control, Automation, and Systems, vol. 1, pp. 401-411, 2003.
I. Kaya, and D.P. Atherton, “Exact parameter estimation from relay autotuning under static load disturbances,” in Proc. 20th American Control Conference, Arlington, 2001.
A. Visioli, “Time-optimal plug&control for integrating and FOPDT processes,” Journal of Process Control, vol. 13, pp. 195–202, 2003.
S. Majhi, and D.P. Atherton, “Online tuning of controllers for an unstable FOPDT process,” IEE Proc.- Control Theory Appl., vol. 147, pp. 421-427, 2000.
A. Visioli, “Optimal tuning of PID controllers for integral and unstable processes,” IEE Proc.-Control Theory Appl., vol. 148, pp. 180–184, 2001.
R.P. Sree, M.N. Srinivas, and M. Chidambaram, “A simple method of tuning PID controllers for stable and unstable FOPDT systems,” Comput. Chem. Eng., vol. 28, pp. 2201–2218, 2004.
L. Wang, and W.R. Cluett, “Tuning PID controllers for integrating processes,” IEE Proc.- Control Theory Appl., vol. 144, pp. 385-392, 1997.
I. Kaya, “Tuning PI controllers for stable processes with specifications on gain and phase margins,” ISA Transactions, vol. 43, pp. 297-304, 2004.
W.R. Cluett, and L. Wang, “New tuning rules for PID control,” Pulp and Paper Canada, vol. 3, pp. 52-55, 1997.
Y.G. Wang, and H.H. Shao, “PID autotuner based on gain- and phase- margin specifications,” Ind. Eng. Chem. Res., vol. 38, pp. 3007–3012, 1998. BIOGRAPHY