proportional-delayed-integral-controller-for-non-minimum-phase-systems

https://github.com/jhernandezg57/proportional-delayed-integral-controller-for-non-minimum-phase-systems

Science Score: 67.0%

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Repository

Basic Info

Host: GitHub
Owner: jhernandezg57
Language: MATLAB
Default Branch: main
Size: 31.3 KB

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Releases: 1

Created 8 months ago · Last pushed 8 months ago

Metadata Files

Readme Citation

Proportional Delayed Integral Controller for Stabilizing Second-Order Non-Minimum Phase Systems

System Definition

The system is defined as:

$$ G(s) \triangleq \frac{K \omegan^2 (1 - z s)}{s^2 + 2 \zeta \omegan s + \omegan^2}, \quad K \in \mathbb{R}+, \zeta \in \mathbb{R}, \omegan \in \mathbb{R} \setminus{0} \in \overline{\mathbb{R}}{+} $$

and it is to be controlled in a closed-loop system using modified classical PI controller called P$\delta$I of the form:

$$ C{P\delta I}(s) \triangleq kp + \frac{ki}{s}e^{-h s}, \quad kp, ki \in \mathbb{R}, \quad h \in \overline{\mathbb{R}}{+}. $$

The codes allow to obtain the stability regions to be able to tune stabilizing controllers, determining the delya margin.

Used functions

To find the root placement in python we used qpmr, the download can be done at: https://github.com/DSevenT/QPmR

References

Author Julián-Alejandro Hernández-Gallardo 2025.

If you are utilizing this algorithm, please cite

If you are interested in reading any of my other publications

https://scholar.google.com/citations?user=ru2cJxEAAAAJ&hl=es&oi=ao

Owner

Name: Julián-Alejandro Hernández-Gallardo
Login: jhernandezg57
Kind: user
Location: SLP, Mexico
Company: Universidad Autónoma de San Luis Potosí - Tecnologico Salesiano Carlos Gómez

Website: https://sites.google.com/view/jhernandezg
Repositories: 1
Profile: https://github.com/jhernandezg57

Citation (CITATION.cff)

cff-version: 1.2.0
message: "If you use this software, please cite it as below."
authors:
- family-names: "Hernández-Gallardo"
  given-names: "Julián-Alejandro"
  orcid: "https://orcid.org/0000-0001-7833-739X"
- family-names: "Méndez-Barrios"
  given-names: "César-Fernando"
- family-names: "Gonzalez-Galvan"
  given-names: "Emilio J."
- family-names: "Torres-García"
  given-names: "Diego"
title: "Proportional-Delayed-Integral Controler for NMP Systems"
version: 0.1.0
doi: 10.5281/zenodo.16231162
date-released: 2025-07-20
url: "https://doi.org/10.5281/zenodo.16231162"

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