Publication Type |
Journal Article |
School or College |
College of Engineering |
Department |
Electrical & Computer Engineering |
Creator |
Mathews, V. John |
Other Author |
Jeraj Janez |
Title |
Identification of nonlinear, memoryless systems using chebyshev nodes |
Date |
2005 |
Description |
ABSTRACT This paper describes an approach for identification of static nonlinearities from input-output measurements. The approach is based on minimax approximation of memoryless nonlinear systems using Chebyshev polynomials. For memoryless nonlinear systems that are finite and continuous with finite derivatives, it is known that the error caused by the K th order Chebyshev approximation in a specified interval is bounded by a quantity that is proportional to the maximum value of the (K + 1) th derivative of the inputoutput relationship and decays exponentially with K. The method of the paper identifies the system by first estimating the system output at the Chebyshev nodes using localized linear model around the nodes, and then solving for the coefficients associated with the Chebyshev polynomials of the first kind. |
Type |
Text |
Publisher |
Institute of Electrical and Electronics Engineers (IEEE) |
First Page |
93 |
Last Page |
96 |
Language |
eng |
Bibliographic Citation |
Jeraj, J., & Mathews, V. J. (2005). Identification of nonlinear, memoryless systems using chebyshev nodes. Proc. IEEE International Conf. Acoustics, Speech, and Signal Processing, 4, IV-93-6. March. |
Rights Management |
(c) 2005 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. |
Format Medium |
application/pdf |
Format Extent |
428,732 bytes |
Identifier |
ir-main,15178 |
ARK |
ark:/87278/s63v01ss |
Setname |
ir_uspace |
ID |
706457 |
Reference URL |
https://collections.lib.utah.edu/ark:/87278/s63v01ss |