Theoretical and experimental assessment of Maxwell–Boltzmann type gain distribution for the vibration control of a generalized structural system

IF 2.5 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

European Journal of Control Pub Date : 2025-03-05 DOI:10.1016/j.ejcon.2025.101203

Srilatha Abhishek , Deepthi Pilakkat , Jagajyoti Panda , Sanjukta Chakraborty

{"title":"Theoretical and experimental assessment of Maxwell–Boltzmann type gain distribution for the vibration control of a generalized structural system","authors":"Srilatha Abhishek , Deepthi Pilakkat , Jagajyoti Panda , Sanjukta Chakraborty","doi":"10.1016/j.ejcon.2025.101203","DOIUrl":null,"url":null,"abstract":"<div><div>In this study, a linear frequency adaptive (LFA) optimal control was designed and investigated theoretically and experimentally for a generalized multi-degree-of-freedom structural system in its modal space. The designed control strategy followed Maxwell–Boltzmann type frequency distribution providing a concave type behavior similar to the uncontrolled structural mode to enable an improved control resistance at the regions of higher frequency responses of the system, and subsiding at the lower frequency response regions. The efficiency of the designed control was established to two existing control mechanisms, namely a frequency-sensitive lead compensated (LC) proportional control and the popular linear quadratic Gaussian (LQG) control. The theoretical evaluation was extended to include the noise effects in the closed-loop system. Based on the theoretical appraisal, thorough experimental investigations were conducted for the designed LFA and LQG control strategies applied on single-story and two-story steel shear frame models, considering diverse excitation scenarios across different frequency regions. The closed-loop test setup developed in a LabVIEW environment, interfaced with a data acquisition system to collect real-time data from the acceleration sensors attached to the structures, and the response integral in the form of convolution was used as output feedback. The results summarized that the LFA achieved the desired response with minimal control input compared to the existing control, even in the presence of significant noise uncertainty. Finally, a numerical validation was performed to compare the experimental results with the theoretical predictions, affirming the effectiveness and reliability of the designed control mechanism.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"83 ","pages":"Article 101203"},"PeriodicalIF":2.5000,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"European Journal of Control","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0947358025000317","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}

引用次数: 0

Abstract

In this study, a linear frequency adaptive (LFA) optimal control was designed and investigated theoretically and experimentally for a generalized multi-degree-of-freedom structural system in its modal space. The designed control strategy followed Maxwell–Boltzmann type frequency distribution providing a concave type behavior similar to the uncontrolled structural mode to enable an improved control resistance at the regions of higher frequency responses of the system, and subsiding at the lower frequency response regions. The efficiency of the designed control was established to two existing control mechanisms, namely a frequency-sensitive lead compensated (LC) proportional control and the popular linear quadratic Gaussian (LQG) control. The theoretical evaluation was extended to include the noise effects in the closed-loop system. Based on the theoretical appraisal, thorough experimental investigations were conducted for the designed LFA and LQG control strategies applied on single-story and two-story steel shear frame models, considering diverse excitation scenarios across different frequency regions. The closed-loop test setup developed in a LabVIEW environment, interfaced with a data acquisition system to collect real-time data from the acceleration sensors attached to the structures, and the response integral in the form of convolution was used as output feedback. The results summarized that the LFA achieved the desired response with minimal control input compared to the existing control, even in the presence of significant noise uncertainty. Finally, a numerical validation was performed to compare the experimental results with the theoretical predictions, affirming the effectiveness and reliability of the designed control mechanism.

查看原文本刊更多论文

本研究设计了一种线性频率自适应（LFA）优化控制，并对广义多自由度结构系统的模态空间进行了理论和实验研究。设计的控制策略遵循 Maxwell-Boltzmann 型频率分布，提供了一种类似于未受控结构模式的凹型行为，从而在系统的高频响应区域提高了控制阻力，并在低频响应区域减弱了控制阻力。设计的控制机制与现有的两种控制机制，即频率敏感的铅补偿（LC）比例控制和流行的线性二次高斯（LQG）控制相比，具有更高的效率。理论评估还扩展到了闭环系统中的噪声影响。在理论评估的基础上，对设计的 LFA 和 LQG 控制策略进行了深入的实验研究，将其应用于单层和双层钢剪力框架模型，并考虑了不同频率区域的各种激励情况。在 LabVIEW 环境下开发的闭环测试装置与数据采集系统相连接，以便从结构上连接的加速度传感器采集实时数据，并将卷积形式的响应积分作为输出反馈。结果表明，与现有控制相比，LFA 只需最小的控制输入就能实现理想的响应，即使在噪声不确定性很大的情况下也是如此。最后，还进行了数值验证，将实验结果与理论预测进行了比较，肯定了所设计控制机制的有效性和可靠性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

European Journal of Control 工程技术-自动化与控制系统

CiteScore

5.80

自引率

5.90%

发文量

131

审稿时长

1 months

期刊介绍： The European Control Association (EUCA) has among its objectives to promote the development of the discipline. Apart from the European Control Conferences, the European Journal of Control is the Association''s main channel for the dissemination of important contributions in the field. The aim of the Journal is to publish high quality papers on the theory and practice of control and systems engineering. The scope of the Journal will be wide and cover all aspects of the discipline including methodologies, techniques and applications. Research in control and systems engineering is necessary to develop new concepts and tools which enhance our understanding and improve our ability to design and implement high performance control systems. Submitted papers should stress the practical motivations and relevance of their results. The design and implementation of a successful control system requires the use of a range of techniques: Modelling Robustness Analysis Identification Optimization Control Law Design Numerical analysis Fault Detection, and so on.