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Solution of linear state-space equations and parameter estimation in feedback systems using laguerre polynomial expansion

Authors
Journal
Journal of the Franklin Institute
0016-0032
Publisher
Elsevier
Publication Date
Volume
314
Issue
6
Identifiers
DOI: 10.1016/0016-0032(82)90024-2
Disciplines
  • Mathematics

Abstract

Abstract This paper analyzes the application of Laguerre polynomial expansion to linear systems. It can be applied to the solution of linear state equations by using an algebraic matrix to determine the coefficients of the Laguerre expansion. It also can be applied to system identification by using the expansion to determine the coefficients in the transfer function. Examples are given to demonstrate the accuracy of finite order expansion by Laguerre polynomials.

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