Reliable Computation of Frequency Response Plots for Nonrational Transfer Functions to Prescribed Accuracy

Reliable Computation of Frequency Response Plots for Nonrational Transfer Functions to Prescribed... We propose algorithms to compute the well known Bode, Nyquist, and Nichols frequency response plots for nonrational transfer functions. The proposed algorithms are very widely applicable—the magnitude and phase functions need to be only bounded and continuous in frequency. The proposed algorithms guarantee that the magnitude and phase plots are reliably computed to a prescribed accuracy, in a finite number of iterations. Through several practical nonrational examples, we demonstrate the superior performance of the proposed algorithm over the widely used routines in MATLAB's control system toolbox and over the conventional gridding method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

Reliable Computation of Frequency Response Plots for Nonrational Transfer Functions to Prescribed Accuracy

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2003 by Kluwer Academic Publishers
Subject
Mathematics; Numeric Computing; Approximations and Expansions; Computational Mathematics and Numerical Analysis; Mathematical Modeling and Industrial Mathematics
ISSN
1385-3139
eISSN
1573-1340
D.O.I.
10.1023/A:1025131214469
Publisher site
See Article on Publisher Site

Abstract

We propose algorithms to compute the well known Bode, Nyquist, and Nichols frequency response plots for nonrational transfer functions. The proposed algorithms are very widely applicable—the magnitude and phase functions need to be only bounded and continuous in frequency. The proposed algorithms guarantee that the magnitude and phase plots are reliably computed to a prescribed accuracy, in a finite number of iterations. Through several practical nonrational examples, we demonstrate the superior performance of the proposed algorithm over the widely used routines in MATLAB's control system toolbox and over the conventional gridding method.

Journal

Reliable ComputingSpringer Journals

Published: Oct 4, 2004

References

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