On controversial superiority of delta operator models for small sampling periods

• Autorzy: Gessing R.
• Języki publikacji: EN

Abstrakty

EN

It is noted that for small sampling periods the superiority of the delta operator (DO) models over the shift operator (SO) concerns only recording of model coefficients and some analytical calculations. It is aslo noted that in the simultations, making it possible to obtain the time response of the output for any input, as well as in the model identification under limited measurement accuracy, the superiority of the DO over SO models, for small sampling periods, disappears. These observations have an essential meaning since the mentioned problems of simulation and identification are important for applications.

Słowa kluczowe

EN

digital control; discrete-time system; delta operator models; shift operator models

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2006
• Tom: Vol. 16, no. 4
• Strony: 411--421
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Gessing R.

• Institute of Automatic Control, Silesian University of Technology, Akademicka 16, 44-100 Gliwice, Poland,

Bibliografia

• [1] A. O. GELFOND: Calculation of finite differences. Gortechizdat, Moscow, 1952, (in Russian).
• [2] R. GESSING: Word length of pulse transfer function for small sampling periods. IEEE Trans. on Automatic Control, 44(9), (1999), 1760-1764.
• [3] R. GESSING: Whether the delta operator models are really better for small sampling periods. Preprints of the XV IFAC World Congress, Barcelona, (2002), CDROM.
• [4] M. GEVERS and G. LI: Parametrizations in control, estimation and filtering problems. Springer Verlag, 1993.
• [5] G. C. GOODWIN, R. M. MIDDLETON and M. V. POOR: High speed digital signal processing and control. Proc. of the IEEE, 80(2), (1992), 240-259.
• [6] R. M. MIDDLETON and G. C. GOODWIN: Digital control and estimation, a unified approach. Prentice hall, NJ, 1990.