{"title":"Disturbance attenuation over a frequency band: A multi- harmonics geometric design approach","authors":"Jiqiang Wang , Huajiang Ouyang","doi":"10.1016/j.jsv.2025.119204","DOIUrl":null,"url":null,"abstract":"<div><div>Mature methodologies for disturbance attenuation have been proposed in various situations. These methods can achieve disturbance suppression over the whole frequency band. However, it is often necessitated with disturbance attenuation over a frequency band in many practical engineering applications. Yet the current methods cannot provide satisfactory solutions due to difficulties in (1) handling the effect of physical parameters on system performance; and even importantly (2) obtaining performance limits. In this paper, a multi-harmonics geometric design approach is proposed where the above issues can be handled with direct visual inspections. Specifically, a design framework is developed for disturbance attenuation for multiple harmonics. Optimal solutions are obtained based on a geometric development. The resulting problem of minimal controller is discussed, together with constrained solutions for both sensing constraints and actuation constraints. Finally, the proposed theoretical results are validated through numerical examples with real time implementations.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"614 ","pages":"Article 119204"},"PeriodicalIF":4.3000,"publicationDate":"2025-05-11","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/S0022460X25002780","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
Mature methodologies for disturbance attenuation have been proposed in various situations. These methods can achieve disturbance suppression over the whole frequency band. However, it is often necessitated with disturbance attenuation over a frequency band in many practical engineering applications. Yet the current methods cannot provide satisfactory solutions due to difficulties in (1) handling the effect of physical parameters on system performance; and even importantly (2) obtaining performance limits. In this paper, a multi-harmonics geometric design approach is proposed where the above issues can be handled with direct visual inspections. Specifically, a design framework is developed for disturbance attenuation for multiple harmonics. Optimal solutions are obtained based on a geometric development. The resulting problem of minimal controller is discussed, together with constrained solutions for both sensing constraints and actuation constraints. Finally, the proposed theoretical results are validated through numerical examples with real time implementations.
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.