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用于建模非线性动力系统的混合模拟计算机:完整食谱。

Hybrid Analog Computer for Modeling Nonlinear Dynamical Systems: The Complete Cookbook.

机构信息

Department of Radio Electronics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technicka 3082/12, 616 00 Brno, Czech Republic.

出版信息

Sensors (Basel). 2023 Mar 30;23(7):3599. doi: 10.3390/s23073599.

DOI:10.3390/s23073599
PMID:37050658
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10099341/
Abstract

This paper describes a design process for a universal development kit based on an analog computer concept that can model the dynamics of an arbitrarily complex dynamical system up to the fourth order. The constructed development kit contains digital blocks and associated analog-to-digital and digital-to-analog converters (ADCs and DAC), such that multiple-segmented piecewise-linear input-output characteristics can be used for the synthesis of the prescribed mathematical model. Polynomial input-output curves can be implemented easily by four-quadrant analog multipliers. The proposed kit was verified through several experimental scenarios, starting with simple sinusoidal oscillators and ending with generators of continuous-time robust chaotic attractors. The description of each individual part of the development kit is accompanied by links to technical documentation, allowing skilled readers in the construction of electronic systems to replicate the proposed functional example. For this purpose, the electrical scheme of the hybrid analog computer and all important source codes are available online.

摘要

本文描述了一种基于模拟计算机概念的通用开发套件的设计过程,该套件可以对任意复杂的四阶动力学系统进行建模。所构建的开发套件包含数字模块以及相关的模数转换器(ADC)和数模转换器(DAC),使得可以使用分段线性输入-输出特性来合成规定的数学模型。通过四象限模拟乘法器可以轻松实现多项式输入-输出曲线。通过几个实验场景对所提出的套件进行了验证,从简单的正弦振荡器开始,最后是连续时间鲁棒混沌吸引子的发生器。开发套件的每个单独部分的描述都附有技术文档的链接,允许有电子系统构建经验的读者复制所提出的功能示例。为此,混合模拟计算机的电气原理图和所有重要的源代码都可在线获得。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b6b5/10099341/7890184d0234/sensors-23-03599-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b6b5/10099341/802009254814/sensors-23-03599-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b6b5/10099341/3556afa09a94/sensors-23-03599-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b6b5/10099341/9d6a38590fea/sensors-23-03599-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b6b5/10099341/6a8d2447040b/sensors-23-03599-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b6b5/10099341/71ea2edc6b09/sensors-23-03599-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b6b5/10099341/e6f046d1929b/sensors-23-03599-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b6b5/10099341/3aea4008435e/sensors-23-03599-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b6b5/10099341/a5441de64f49/sensors-23-03599-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b6b5/10099341/7890184d0234/sensors-23-03599-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b6b5/10099341/802009254814/sensors-23-03599-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b6b5/10099341/3556afa09a94/sensors-23-03599-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b6b5/10099341/9d6a38590fea/sensors-23-03599-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b6b5/10099341/6a8d2447040b/sensors-23-03599-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b6b5/10099341/71ea2edc6b09/sensors-23-03599-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b6b5/10099341/e6f046d1929b/sensors-23-03599-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b6b5/10099341/3aea4008435e/sensors-23-03599-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b6b5/10099341/a5441de64f49/sensors-23-03599-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b6b5/10099341/7890184d0234/sensors-23-03599-g009.jpg

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