System identification and prediction—An algorithm using a Newtonian iteration procedure
Author:
Theodore R. Goodman
Journal:
Quart. Appl. Math. 24 (1966), 249-255
DOI:
https://doi.org/10.1090/qam/99918
MathSciNet review:
QAM99918
Full-text PDF Free Access
Abstract |
References |
Additional Information
Abstract: A mathematical technique, especially suitable for programming on a high speed digital computer, is presented for identifying a complete dynamic system having unknown parameters when data concerning one variable of the system is available.
James J. Donegan, Samuel W. Robinson, Jr., and Ordway B. Gates, Jr., Determination of lateral-stability derivatives and transfer-function coefficients from frequency response data for lateral motions, NASA TN 3083, May 1954.
W. W. Huff, Jr., Application of dynamic testing procedures to stability and control flight test program, NATO Report 191, April 1958.
W. O. Breuhaus, Resume of the time vector method as a means for analyzing aircraft stability problems, WADC TR 52-299, November 1962.
- Marvin Shinbrot, A least squares curve fitting method with applications to the calculation of stability coefficients from transient-response data, Tech. Notes Nat. Adv. Comm. Aeronaut. 1951 (1951), no. 2341, 52. MR 0042809
Harry Greenberg, A survey of methods for determining stability parameters of an airplane from dynamic flight measurements, NACA TN 2340, April 1951.
Roxanah B. Yancey, Herman A. Rediess, and Glen H. Robinson, Aerodynamic-derivative characteristics of the X-15 research airplane as determined from flight tests for Mach number 0.6 to 3.4, NASA TN D-1060, January 1962.
Johnny M. Rampy, Donald T. Berry, Determination of stability derivatives from flight test data by means of operation analog matching, 11th Annual Air Force Science and Engineering Symposium, October 1964.
Franklin F. Eckhart and Robert P. Harper, Jr., Analysis of longitudinal responses of unstable aircraft, Cornell Aero Lab Report BA-1610-F-1, September 1964.
S. J. Kahne, Orbit determination using arbitrarily spaced data, Proc. First Allerton Conf. on Circuit and System Theory, University of Illinois, Urbana, Ill. 1963.
S. J. Kahne, Note on two-point boundary value problems, Trans. IEEE, AC-8, 257, 1963.
- K. S. Prasanna Kumar and R. Sridhar, On the identification of control systems by the quasi-linearization method, IEEE Trans. Automatic Control AC-9 (1964), 151–154. MR 0180426, DOI https://doi.org/10.1109/tac.1964.1105672
R. Bellman, H. Kagiwada, and R. Kalaba, Quasilinearization, system identification, and prediction, Rand Corporation Memorandum RN 3812-PR, August 1963.
James J. Donegan, Samuel W. Robinson, Jr., and Ordway B. Gates, Jr., Determination of lateral-stability derivatives and transfer-function coefficients from frequency response data for lateral motions, NASA TN 3083, May 1954.
W. W. Huff, Jr., Application of dynamic testing procedures to stability and control flight test program, NATO Report 191, April 1958.
W. O. Breuhaus, Resume of the time vector method as a means for analyzing aircraft stability problems, WADC TR 52-299, November 1962.
Marvin Shinbrot, A least square curve fitting method with application to the calculation of stability coefficients from transient response data NASA TN 2341, April 1951.
Harry Greenberg, A survey of methods for determining stability parameters of an airplane from dynamic flight measurements, NACA TN 2340, April 1951.
Roxanah B. Yancey, Herman A. Rediess, and Glen H. Robinson, Aerodynamic-derivative characteristics of the X-15 research airplane as determined from flight tests for Mach number 0.6 to 3.4, NASA TN D-1060, January 1962.
Johnny M. Rampy, Donald T. Berry, Determination of stability derivatives from flight test data by means of operation analog matching, 11th Annual Air Force Science and Engineering Symposium, October 1964.
Franklin F. Eckhart and Robert P. Harper, Jr., Analysis of longitudinal responses of unstable aircraft, Cornell Aero Lab Report BA-1610-F-1, September 1964.
S. J. Kahne, Orbit determination using arbitrarily spaced data, Proc. First Allerton Conf. on Circuit and System Theory, University of Illinois, Urbana, Ill. 1963.
S. J. Kahne, Note on two-point boundary value problems, Trans. IEEE, AC-8, 257, 1963.
K. S. P. Kumer and R. Sridhar, On the identification of control systems by the quasi-linearization method, Trans. IEEE, AC-9, 589, 1964.
R. Bellman, H. Kagiwada, and R. Kalaba, Quasilinearization, system identification, and prediction, Rand Corporation Memorandum RN 3812-PR, August 1963.
Additional Information
Article copyright:
© Copyright 1966
American Mathematical Society
