Fractional-order system identification based on continuous order-distributions

Authors:
Tom T. Hartley;Carl F. Lorenzo
Affiliations:
Department of Electrical and Computer Engineering, The University of Akron, Akron, OH;Instrumentation and Controls Division, NASA Glenn Research Center, Cleveland, OH
Venue:
Signal Processing - Special issue: Fractional signal processing and applications
Year:
2003

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Abstract

This paper discusses the identification of fractional- and integer-order systems using the concept of continuous order-distribution. Based on the ability to define systems using continuous order-distributions, it is shown that frequency domain system identification can be performed. Least-squares techniques are applied to discretized order-distributions. Methods are presented for properly discretizing the order-distribution.