This article explores an innovative approach for fine-tuning Proportional-Integral (PI) controllers to achieve rapid and energy-efficient responses in linear time-delayed dynamical systems. The method synergistically combines a classical meta-heuristic algorithm with an analytical-geometric stability analysis procedure to minimise a cost function based on quadratic regulator principles. In particular, we employ the D - \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {D}-$$\end{document}composition method to characterise the stability map of the closed-loop system, narrowing down the optimisation search space for a genetic algorithm. This holistic strategy not only effectively tackles the complexities introduced by time delays within the optimisation procedure, but also permits us to improve PI controls performance across diverse real-world applications. Furthermore, we include a comprehensive comparative analysis between our results and a PI control that is analytically engineered to elicit maximal exponential decay. The article culminates by showcasing both numerical simulations and experimental control applications, underscoring the practical efficacy of the proposed methodology.


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    Title :

    Synergistic Design of Optimal PI Controllers for Linear Time-Delayed Systems


    Additional title:

    Lect. Notes in Networks, Syst.



    Conference:

    Proceedings of the Latin American Congress on Automation and Robotics ; 2023 ; Universidad Don Bosco, San Salvador, El Salvador November 15, 2023 - November 17, 2023



    Publication date :

    2024-03-31


    Size :

    12 pages





    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English





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