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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain


Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

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Analysis of a Fractional-Order Nonlinear System with Hysteresis Nonlinearity via Describing Function

Journal of Applied Nonlinear Dynamics 4(1) (2015) 81--89 | DOI:10.5890/JAND.2015.03.007

Ramiro S. Barbosa; Isabel S. Jesus; J.A. Tenreiro Machado

GECAD–Knowledge Engineering and Decision Support Research Center, Department of Electrical Engineering, Institute of Engineering of Porto, Portugal

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The describing function(DF) is one method often used for the analysis of nonlinear systems and the prediction of limit-cycles. In this study, we explore the DF using frequency response methods in order to analyze the effectiveness of this technique in a fractional-order nonlinear system. Since it is common to find different types of nonlinearities in real systems, the DF method may reveal of great practical interest. In this perspective, we investigate the limit-cycle prediction and frequency response analysis of a fractional-orderplant model with hysteresis nonlinearity. The results presented may give some guidelines for the design of linear and nonlinear controllers of arbitrary order


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