Time-Domain Approximation by Iterative Methods
- 1 December 1966
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 13 (4) , 381-387
- https://doi.org/10.1109/tct.1966.1082624
Abstract
An iterative procedure is presented which permits the determination of a rational transfer function in the Laplace transform variable s which is optimal with respect to given input and output time-functions. The optimal system of a particular order is defined as the one whose output when subjected to the known input function is nearest in the time integral square sense to the desired output function. The method is thus applicable to a number of problems involving the minimization of an integral square error. To illustrate the technique, a set of optimal lumped-parameter delay lines is synthesized and their characteristics investigated; the behavior and convergence of the iteration in these problems is also studied. A comparison of other iterative methods applicable to the same problems leads to the conclusion that the proposed procedure has real advantages in computational simplicity and speed of convergence.Keywords
This publication has 7 references indexed in Scilit:
- Rational transform approximation via the Laguerre spectrumJournal of the Franklin Institute, 1965
- A technique for the identification of linear systemsIEEE Transactions on Automatic Control, 1965
- On the identification of control systems by the quasi-linearization methodIEEE Transactions on Automatic Control, 1964
- GRADIENT METHODS FOR THE OPTIMIZATION OF DYNAMIC**This research was supported in part at the University of Southern California under U. S. Air Force Office of Scientific Research Grant No. AF-AFOSR-75-63 and in part at Space Technology Laboratories, Inc., under National Aeronautics and Space Administration Contract NASℓ-2582. SYSTEM PARAMETERS BY HYBRID COMPUTATIONPublished by Elsevier ,1964
- A Survey of Methods for Rational Approximation, with Particular Reference to a New Method Based on a Forumla of DarbouxSIAM Review, 1963
- The Modified Gauss-Newton Method for the Fitting of Non-Linear Regression Functions by Least SquaresTechnometrics, 1961
- Synthesis of Constant-Time-Delay Ladder Networks Using Bessel PolynomialsProceedings of the IRE, 1954