The parametric characteristic of frequency response functions for nonlinear systems |
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| Authors: | Xing Jian Jing Zi Qiang Lang Stephen A Billings Geofrey R Tomlinson |
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| Affiliation: | 1. Department of Automatic Control and Systems Engineering , University of Sheffield , Mappin Street, Sheffield, S1 3JD, UK X.J.Jing@sheffield.ac.uk;3. Department of Automatic Control and Systems Engineering , University of Sheffield , Mappin Street, Sheffield, S1 3JD, UK;4. Department of Mechanical Engineering , University of Sheffield , Mappin Street, Sheffield, S1 3JD, UK |
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| Abstract: | The characteristic of the frequency response functions of nonlinear systems can be revealed and analyzed by analyzing of the parametric characteristics of these functions. To achieve these objectives, a new operator is defined, and several fundamental and important results about the parametric characteristics of the frequency response functions of nonlinear systems are developed. These theoretical results provide a significant and novel insight into the frequency domain characteristics of nonlinear systems and circumvent a large amount of complicated integral and symbolic calculations which have previously been required to perform nonlinear system frequency domain analysis. Several new results for the analysis and synthesis of nonlinear systems are also developed. Examples are included to illustrate potential applications of the new results. |
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