On the Implementation of the Eigenvalue Method for Limit Cycle Determination in Nonlinear Systems |
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Authors: | Karl Heinz Kienitz |
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Institution: | 1. Institute for Robotics and Mechatronics, German Aerospace Center, Postfach 1116, D-82230, We?ling, Germany
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Abstract: | In many practical systems, limit cycles can be predicted with suitable precision by frequency domain methods using describing
functions. Within such an approach, limit cycles can be predicted using the “eigenvalue method” Somieski, G., Nonlinear Dynamics 26(1), 2001, 3–22]. This contribution presents a novel and advantageous implementation of this method, using singular value
instead of eigenvalue calculations, and enhancing computational efficiency by avoiding a so called “frequency iteration”.
An erratum to this article is available at . |
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Keywords: | describing functions eigenvalues limit cycles Lyapunov equation nonlinear systems singular values stability |
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