Sampling rate impact on the tuning of PID controller parameters
Abstract
The paper deals with an analysis of automatic control system with continuous and discrete PID controllers. A method of tuning the parameters of the continuous controller is presented, which is optimal according to the ITAE criterion. The behavior of control systems with discrete controllers whose parameters were tuned using the mentioned method are described. The impact of changes in the sampling period of controlled signal on the control quality is shown. Changes of the values of optimal parameters of discrete PID controllers in relation to changes of the sampling rate of controlled signal are characterized.References
R. E. Kalman, J. E. Bertram. General synthesis procedure for computer control of single-loop and multi-loop systems. AIEE Trans, 1958.
K. J. Astrom, B. Wittenmark. Computer controlled systems. Prentice-Hall information and system sciences series. DA Information Services, 1, 1984.
R. Isermann. Digital control systems. Springer-Verlag, 1981.
H. A. Fertik. Tuning controllers for noisy processes. ISA-Trans, 1975. [5] J. G. Ziegler, N. B. Nichols. Optimum setting for automatic controllers. Rochester, N.Y., 1942.
K. J. Astrom, T. Hagglund. Automatic tuning of simple regulators with specifications on phase and amplitude margins. Automatica, 20(5):645–651, 1984.
K. J. Astrom, T. Hagglund. PID controllers theory design and tuning. ISA: The Instrumentation, Systems, and Automation Society, 2, 1995.
M. Wcislik, M. Laskawski. Nowa metoda doboru nastaw regulatorow pi oraz pid dla modelu kupfmullera. Postepy automatyki i robotyki, 2011.
A. O’Dwyer. Handbook of PI and PID Controller Tunning Rules. Imperial College Press, 2006.
S. Buso, P. Mattavelli. Digital control in power electronics. Morgan and Claypool Publishers, 1, 2006.
B. G. Liptak. Process Control and optimization, vol 2 serii Instrument engineers’ handbook. CRC Press – Taylor and Francis Group, 4, 2006.
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