Second-order linear state space systems: computeing the transfer funcion using the DFT

• Autorzy: Antoniou G. E.
• Języki publikacji: EN

Abstrakty

EN

In this paper the discrete Fournier transform (DFT) is used for determining the transfer function coefficients for second-order linear systems (...). The proposed algorithm is theoretically attractive, practically fast and has been implemeted in Matlab. Two step-by-step examples illustrating the application of the algorithm are given.

Słowa kluczowe

EN

linear systems; second-order systems; Fourier transform; transfer function

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2004
• Tom: Vol. 14, no. 1
• Strony: 5--13
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Antoniou G. E.

• Image Processing and Systems laboratory, Department of Computer Science, Montclair, State University Montclair, N.J 07043, USA

Bibliografia

• [1] R. D. Strum and D. E. Kirk: Contemporary Linear Systems. Brooks Cole, Pacific Grove, CA, 2000.
• [2] D. Henrion, M. Sebek and V. Kucera: Robust pole placement for second order systems: an LMI approach. (LAAS-CNRS Research report No. 02324, July 2002), IFAC Symp. on Robust Control Design, Milan, Italy, (2003).
• [3] Y. Chahlaoui, D. Lemonnier, K.Meerbergen, A.Vandendorpe, and P. Van Dooren: Model reduction of second order systems. Int. Symp. on Mathematical Theory of Networks and Systems, University of Notre Dame, (2002).
• [4] C. Goodwin: Real time block recursive parameter estimation of second order systems. Ph.D Thesis, Department of Computing, The Nottingham Trent University, Nottingham, England, 1997.
• [5] T. Lee: A simple method to determine the characteristic function f (s) = sI-A by discrete Fourier series and fast Fourier transform. IEEE Trans. Circuit Syst., CAS-23 (1976) p.242.
• [6] L. E. Paccagnella et al.: FFT calculation of a determinental polynomial. IEEE Trans. Autom. Control, 21 (1976) p.401.
• [7] G. E. Antoniou, G. O. A. Glentis, S. J. Varoufakis and D. A. Karras: Transfer function determination of singular systems using the DFT. IEEE Trans. Circuit Systems, CAS-36 (1989), 1140-1142.
• [8] G. E. Antoniou: Transfer function computation for multidimensional systems. Multidimensional Systems and Signal Processing, 13 (2002), 419-426.
• [9] K. S. Yeung and F. Kumbi: Symbolic matrix inversion with application to electronic circuits. IEEE Trans. Circuit Syst., CAS-35(2), (1988) 235-239.
• [10] S. Barnett: Leverrier’s algorithm: A new proof and extensions. SIAM J. Matrix Analysis and Applications, 10(4), (1989), 551-556.
• [11] V. I. Gugnina: Extension of D. K. Fadeev’s method to polynomial matrices. Dokl. Acad. Nauk. USSR, 1 (1958), 5-10.
• [12] S. K. Mitra: Digital Signal Processing. McGraw–Hill, New York, 2000.