{"title":"On the relevant nonlinearities in digital force control: Continuous versus discrete sources","authors":"Rudolf R. Toth, Gabor Stepan","doi":"10.1016/j.jsv.2025.119344","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper a digital force control model is studied with both discrete and continuous nonlinearities. The discrete nonlinearity is caused by actuator saturation, while the continuous nonlinearity is a consequence of the stiffness characteristics. The effect of these nonlinearities on the resulting Neimark–Sacker bifurcations is determined analytically. The bifurcation calculation with continuous nonlinearities is carried out by means of a novel approach and the results are used to asses the relevant nonlinearities in digitally controlled systems.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"618 ","pages":"Article 119344"},"PeriodicalIF":4.9000,"publicationDate":"2025-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Sound and Vibration","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022460X25004171","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ACOUSTICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper a digital force control model is studied with both discrete and continuous nonlinearities. The discrete nonlinearity is caused by actuator saturation, while the continuous nonlinearity is a consequence of the stiffness characteristics. The effect of these nonlinearities on the resulting Neimark–Sacker bifurcations is determined analytically. The bifurcation calculation with continuous nonlinearities is carried out by means of a novel approach and the results are used to asses the relevant nonlinearities in digitally controlled systems.
期刊介绍:
The Journal of Sound and Vibration (JSV) is an independent journal devoted to the prompt publication of original papers, both theoretical and experimental, that provide new information on any aspect of sound or vibration. There is an emphasis on fundamental work that has potential for practical application.
JSV was founded and operates on the premise that the subject of sound and vibration requires a journal that publishes papers of a high technical standard across the various subdisciplines, thus facilitating awareness of techniques and discoveries in one area that may be applicable in others.