Publication detail

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

RUJZL, M. POLÁK, L. PETRŽELA, J.

Original Title

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

Type

journal article in Web of Science

Language

English

Original 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.

Keywords

analog computer; circuit synthesis; chaotic system; strange attractor; transfer function

Authors

RUJZL, M.; POLÁK, L.; PETRŽELA, J.

Released

30. 3. 2023

Publisher

MDPI

Location

Basel, Switzerland

ISBN

1424-8220

Periodical

SENSORS

Year of study

23

Number

7

State

Swiss Confederation

Pages from

1

Pages to

17

Pages count

17

URL

Full text in the Digital Library

BibTex

@article{BUT183373,
  author="Miroslav {Rujzl} and Ladislav {Polák} and Jiří {Petržela}",
  title="Hybrid Analog Computer for Modeling Nonlinear Dynamical Systems: The Complete Cookbook",
  journal="SENSORS",
  year="2023",
  volume="23",
  number="7",
  pages="1--17",
  doi="10.3390/s23073599",
  issn="1424-8220",
  url="https://www.mdpi.com/1424-8220/23/7/3599"
}