利用统计线性化方法对一类一般状态空间系统的半主动通断控制进行优化

IF 3 3区工程技术 Q2 ENGINEERING, MECHANICAL Probabilistic Engineering Mechanics Pub Date : 2023-11-18 DOI:10.1016/j.probengmech.2023.103555

Viet Duc La , Ngoc Tuan Nguyen

{"title":"利用统计线性化方法对一类一般状态空间系统的半主动通断控制进行优化","authors":"Viet Duc La , Ngoc Tuan Nguyen","doi":"10.1016/j.probengmech.2023.103555","DOIUrl":null,"url":null,"abstract":"<div><p>This paper uses statistical linearization to analyze a state space system controlled by a class of semi-active on-off control. The control input is proportional to a feedback state, while the coefficient of proportionality<span> is switched based on the sign of the product of feedback state and a control state. The explicit simultaneous equations are derived to obtain the system's statistics. The usefulness of the approach is demonstrated through 4 examples. In the example of vibration isolation<span> system, the analytical best performance of skyhook control is found. In the example of mass damper system, the analytical best performance of groundhook control is presented. In the example of quarter-car suspension system, the skyhook-groundhook control is optimized. At last, in the example of 4-mass system, the clipped-linear-quadratic-regulator control is demonstrated.</span></span></p></div>","PeriodicalId":54583,"journal":{"name":"Probabilistic Engineering Mechanics","volume":null,"pages":null},"PeriodicalIF":3.0000,"publicationDate":"2023-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Using statistical linearization to optimize a class of semi-active on-off control in a general state space system\",\"authors\":\"Viet Duc La , Ngoc Tuan Nguyen\",\"doi\":\"10.1016/j.probengmech.2023.103555\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper uses statistical linearization to analyze a state space system controlled by a class of semi-active on-off control. The control input is proportional to a feedback state, while the coefficient of proportionality<span> is switched based on the sign of the product of feedback state and a control state. The explicit simultaneous equations are derived to obtain the system's statistics. The usefulness of the approach is demonstrated through 4 examples. In the example of vibration isolation<span> system, the analytical best performance of skyhook control is found. In the example of mass damper system, the analytical best performance of groundhook control is presented. In the example of quarter-car suspension system, the skyhook-groundhook control is optimized. At last, in the example of 4-mass system, the clipped-linear-quadratic-regulator control is demonstrated.</span></span></p></div>\",\"PeriodicalId\":54583,\"journal\":{\"name\":\"Probabilistic Engineering Mechanics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.0000,\"publicationDate\":\"2023-11-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Probabilistic Engineering Mechanics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0266892023001443\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Probabilistic Engineering Mechanics","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0266892023001443","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}

引用次数: 0

摘要

本文用统计线性化方法分析了一类半主动开关控制的状态空间系统。控制输入与反馈状态成正比，比例系数根据反馈状态与控制状态乘积的符号进行切换。导出显式联立方程，得到系统的统计量。通过4个例子证明了该方法的有效性。以隔振系统为例，分析了天钩控制的最佳性能。以质量阻尼系统为例，分析了土钩控制的最佳性能。以四分之一汽车悬架系统为例，对天钩-地钩控制进行了优化。最后，以四质量系统为例，给出了夹段线性二次调节器的控制方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Using statistical linearization to optimize a class of semi-active on-off control in a general state space system

This paper uses statistical linearization to analyze a state space system controlled by a class of semi-active on-off control. The control input is proportional to a feedback state, while the coefficient of proportionality is switched based on the sign of the product of feedback state and a control state. The explicit simultaneous equations are derived to obtain the system's statistics. The usefulness of the approach is demonstrated through 4 examples. In the example of vibration isolation system, the analytical best performance of skyhook control is found. In the example of mass damper system, the analytical best performance of groundhook control is presented. In the example of quarter-car suspension system, the skyhook-groundhook control is optimized. At last, in the example of 4-mass system, the clipped-linear-quadratic-regulator control is demonstrated.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Probabilistic Engineering Mechanics 工程技术-工程：机械

CiteScore

3.80

自引率

15.40%

发文量

审稿时长

13.5 months

期刊介绍： This journal provides a forum for scholarly work dealing primarily with probabilistic and statistical approaches to contemporary solid/structural and fluid mechanics problems encountered in diverse technical disciplines such as aerospace, civil, marine, mechanical, and nuclear engineering. The journal aims to maintain a healthy balance between general solution techniques and problem-specific results, encouraging a fruitful exchange of ideas among disparate engineering specialities.