Fractional order describing functions

This paper addresses limit cycles and signal propagation in dynamical systems with backlash. The study follows the describing function (DF) method for approximate analysis of nonlinearities and generalizes it in the perspective of the fractional calculus. The concept of fractional order describing f...

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Bibliographic Details
Main Author: Machado, J. A. Tenreiro (author)
Format: article
Language:eng
Published: 2015
Subjects:
Fractional calculus
Describing function
Backlash
Nonlinear systems
Limit cycles
Signal propagation
Online Access:http://hdl.handle.net/10400.22/6938
Country:Portugal
Oai:oai:recipp.ipp.pt:10400.22/6938
Description
Summary:This paper addresses limit cycles and signal propagation in dynamical systems with backlash. The study follows the describing function (DF) method for approximate analysis of nonlinearities and generalizes it in the perspective of the fractional calculus. The concept of fractional order describing function (FDF) is illustrated and the results for several numerical experiments are analysed. FDF leads to a novel viewpoint for limit cycle signal propagation as time-space waves within system structure.

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