Linear switched system modelling and analysis for the servo system

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-11-28 DOI:10.1049/elp2.12395

Qian Zhang, Qianqian Ma, Heng Yang, Wenping Cao, Qunjing Wang

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Abstract

Aiming at resolving the parameter uncertainty of the servo system under multi-working conditions, a flatness-based switched linear system model is proposed. Firstly, a fifth-order linear switched discrete-time system with uncertain parameters is established. The flatness properties of switched system is described and a de Bruijn's graph-based framework is introduced for graphical description of the switched system. In addition, non-linear bode diagrams are obtained via sweeping signals with multiple amplitudes. The discrete equations of the electromechanical servo system are established by the bode plots. The unknown parameters of the subsystems in switched model are identified by the simulated annealing algorithm, and compared with the least squares method to verify the accuracy of the identified parameters. Finally, the simulation model and experimental platform are constructed to verify the effectiveness of the proposed method. The switched model is compared with the classical transfer function model and single subsystems. The results indicate that the resolution of parameter uncertainty in servo systems is effective. The accuracy of the established switched model is about 99.5%. The accuracy of the switched linear system model of the electromechanical servo system is verified and the proposed modelling method is validated.

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伺服系统的线性开关系统建模与分析

为了解决伺服系统在多工况条件下的参数不确定性问题，本文提出了一种基于平差的开关线性系统模型。首先，建立了一个参数不确定的五阶线性开关离散时间系统。描述了开关系统的平坦度特性，并引入了基于 de Bruijn 图的框架对开关系统进行图形描述。此外，还通过扫描多振幅信号获得了非线性博德图。机电伺服系统的离散方程由波特图建立。通过模拟退火算法确定切换模型中各子系统的未知参数，并与最小二乘法进行比较，以验证所确定参数的准确性。最后，构建了仿真模型和实验平台，以验证所提方法的有效性。将开关模型与经典传递函数模型和单一子系统进行了比较。结果表明，伺服系统中参数不确定性的解决是有效的。已建立的开关模型的精确度约为 99.5%。验证了机电伺服系统开关线性系统模型的准确性，并验证了所提出的建模方法。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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