Useful approximation of discrete transcedent transfer function

• Autorzy: Kukal J , Schmidt O.
• Języki publikacji: EN

Abstrakty

EN

Linear systems with distributed parameters are described via linear partial differential equations. The application of Laplace transform comes to discrete transcendent transfer functions. When the response to unit step is aperiodic then the transfer function can be approximated by the system of second order with time delay. The role of sampling period is studied on four examples of heat and mass transfer systems. The methodology is based on inverse Laplace transform, sampling, Z transform and properties of power series. A new useful lemma was developed to help with error approximation. All the calculations were performed in the Matlab environment.

Słowa kluczowe

EN

power series; transcendent transfer function; sampling; approximation; MATLAB

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2007
• Tom: Vol. 17, no. 1
• Strony: 5--13
• Opis fizyczny: Bibliogr. 4 poz., rys., tab.

Twórcy

autor

Kukal J

autor

Schmidt O.

• ICT Prague, Department of Computing and Control Engineering, Czech,

Bibliografia

• [1] K. F. Rilley, M. P. Hobson, S. J. Bence: Mathematical Methods for Physics and Engineering. Cambridge University Press, Cambridge, 1992.
• [2] D. Brian : Integral Transform and Their Applicactions. Springer, New York, 1978.
• [3] R. El Attar: Lecture Notes onZ-transform.Lulu Press, Morrisville, 2005
• [4] P. V. Dankwerts: Chem. Eng. Sci. 2(1), (1953), 1-13.