“A method for closed loop automatic tuning of PID controllers”

Authors: Tor S. Schei,
Affiliation: SINTEF
Reference: 1992, Vol 13, No 3, pp. 155-162.

Keywords: Adaptive control, closed-loop systems, describing functions, identification, industrial control, limit cycles, Nyquist criterion, PID control, process control

Abstract: A simple method for the automatic tuning of PID controllers in closed loop is proposed. A limit cycle is generated through a nonlinear feedback path from the process output to the controller reference signal. The frequency of this oscillation is above the crossover frequency and below the critical frequency of the loop transfer function. The amplitude and frequency of the oscillation are estimated and the control parameters are adjusted iteratively such that the closed loop transfer function from the controller reference to the process output attains a specified amplitude at the oscillation frequency.

PDF PDF (1048 Kb)        DOI: 10.4173/mic.1992.3.3

References:
[1] ÅSTRÖM, K.J. HÄGGLUND, T. (1984). Automatic tuning of simple regulators, Proc. IFAC 9th World Congress, Budapest.
[2] ÅSTRÖM, K.J. HÄGGLUND, T. (1984). Automatic tuning of simple regulators with specifications on phase and amplitude margins, Automatica, 20, 645-651 doi:10.1016/0005-1098(84)90014-1
[3] GAWTHROP, P.J. NOMIKOS, P.E. (1990). Automatic tuning of commercial PID controllers for single-loop and multiloop applications, IEEE Contr. Syst. Mag., 10, 34-42 doi:10.1109/37.50667
[4] MORRIS, H.M. (1987). How adaptive are adaptive process controllers?, Contr. Eng., March, 96-100.
[5] NISHIKAWA, Y., SANNOMIYA, N., OHTA, T. TANAKA, H. (1984). A method for auto-tuning of PID control parameters, Automatica, 20, 321-332 doi:10.1016/0005-1098(84)90047-5
[6] SCHEI, T.S. (1991). A new method for automatic tuning of PID control parameters, Proc. Europ. Contr. Conf., Grenoble, pp. 1522-1527.
[7] TSYPKIN, Y.Z. (1984). Relay Control Systems, Cambridge University Press, U.K.
[8] ZIEGLER, J.G. NICHOLS, N.B. (1942). Optimum settings for automatic controllers, Trans. ASME, 64, 759-768.
[9] ZIEGLER, J.G. NICHOLS, N.B. (1943). Process lags in automatic control circuits, Trans. ASME, 65, 433-444.


BibTeX:
@article{MIC-1992-3-3,
  title={{A method for closed loop automatic tuning of PID controllers}},
  author={Schei, Tor S.},
  journal={Modeling, Identification and Control},
  volume={13},
  number={3},
  pages={155--162},
  year={1992},
  doi={10.4173/mic.1992.3.3},
  publisher={Norwegian Society of Automatic Control}
};