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lti-freq-domain-toolbox

A library written in Racket, which lets Control Systems engineers study LTI (linear time-invariant) dynamical systems - from PID controllers to multipart systems of complex design.

It can perform tasks such as:

  • the analytical computation of the overall transfer function (tf) of a system modeled by interconnected elements in the s-domain
  • the generation of its Bode and Nyquist plots
  • the numerical computation of its time domain response

Predefined circuits are also included: controllers (PI, PD and PID), filters (Chebyshev type I), delay components (Padé) etc.

This is a command-line tool. For a GUI one, check the newer Controllio app.

Known issues & limitations

  • phase computation (including adjustment in some cases of steep phase shifts)

Installation

  1. Get Racket from: https://racket-lang.org and install

  2. Run DrRacket, open: File -> Install Package and paste: lti-freq-domain-toolbox in the "Package Source" field, to automatically download the package

Usage

  1. Type in the definitions (left/upper part of the screen):

    #lang racket
(require lti-freq-domain-toolbox)

    to load the package, and run with Ctrl+R

  2. Type in the interactions / REPL (right/lower part of the screen):

    (run-examples)

    and press Enter to test all the examples of "main.rkt", and get a feeling of how the program works

Documentation

Online

  • The documentation is available online here

Locally (after installation)

  • In DrRacket, open: Help -> Racket Documentation and paste: lti-freq-domain-toolbox in the "search manuals" field

Plot examples

plot examples

Code dependencies diagram

dependencies

License

Copyright (C) 2014-2023 Ioannis Stefanis iastefan@outlook.com

lti-freq-domain-toolbox is distributed under the GNU General Public License Version 3 (GPLv3). The GPLv3 license text is included in the "COPYING.TXT" file.

See http://www.gnu.org/licenses/gpl-3.0.txt for more information.