synergistic-pi-controller-design

This repository shares the code base for optimizing PI controllers for delay systems, using the synergy of analytical methods to obtain stability regions and metaheuristic methods to optimize cost functions.

https://github.com/jhernandezg57/synergistic-pi-controller-design

Science Score: 67.0%

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Repository

Basic Info

Host: GitHub
Owner: jhernandezg57
Language: MATLAB
Default Branch: main
Size: 92.8 KB

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Watchers: 1
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Releases: 1

Created about 1 year ago · Last pushed 9 months ago

Metadata Files

Readme Citation

README.md

A Synergistic Approach to PI Controller Design in Linear Time-Delay Systems

System Definition

The system is defined as:

$$ G_1(s) = \frac{s-2}{s^2 - \frac{1}{2}s + \frac{13}{4}} e^{-2s}. $$

and it is to be controlled in a closed-loop system using a PI controller of the form:

$$ C(s) = kp + \frac{ki}{s}, \quad kp,ki\in\mathbb{R}. $$

The attached codes allow solving the minimization problem for a cost function ( J ), provided that it is convex.

All the necessary codes should be placed in the same root folder, and the script named **opt_main** should be executed. This script calls the required functions to optimize using the Genetic Algorithm (GA) or the Interior-Point method.

Description of Each Script

Each script performs different tasks:

opt_ga: Contains the configurations to optimize using the Genetic Algorithm.
opt_fmincon: Contains the configurations to optimize using the Interior-Point method.
regions: Computes the stability region.
vertices: Find the vertices of each rectangle used to discretize the stability region.
responsePI: Calculates the closed-loop parameters that form the cost function ( J ).

Used functions

To find the self-intersections of the curve we use selfintersect, provided by Doug Schwarz. On the Matlab File Exchange: https://fr.mathworks.com/matlabcentral/fileexchange/11837-fast-and-robust-curve-intersections

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: "Guel-Cortez"
  given-names: "Adrian-Josue"
title: "Synergistic-PI-Controller-Design"
version: 0.1.0
doi: 10.5281/zenodo.15649844
date-released: 2025-06-12
url: "https://doi.org/10.5281/zenodo.15649844"

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