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Stabilization of Second-Order Systems Using PI Controllers with Delayed Proportional and Integral Parts

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F23%3A63563278" target="_blank" >RIV/70883521:28140/23:63563278 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/chapter/10.1007/978-3-031-35317-8_50" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-031-35317-8_50</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-031-35317-8_50" target="_blank" >10.1007/978-3-031-35317-8_50</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Stabilization of Second-Order Systems Using PI Controllers with Delayed Proportional and Integral Parts

  • Original language description

    The present paper deals with the stabilization, optimization, and control of second-order systems using a PI delayed controller. This study analyzes the control of linear-time invariant (LTI) systems with time delay in the integral and proportional parts of the PI delayed controller and obtains the region of global stability in the two-dimensional plane. The proposed stabili-zation method is verified through software simulations with two benchmark examples: the control of an inverted pendulum and the control of the stick-slip vibration. The results show the effectiveness and practical applicability of the proposed method in all analyses and control. Additionally, the optimization of LTI systems with time delay in the integral and pro-portional parts of the PI delayed controller is discussed, and selected heuristic methods are compared. Future research aims to implement modern optimization algorithms for solving non-smooth, non-convex, and non-Lipschitz optimization problems in this field.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    20205 - Automation and control systems

Result continuities

  • Project

    <a href="/en/project/GF21-45465L" target="_blank" >GF21-45465L: Metaheuristic-based parametric optimization of time-delay models and control systems</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2023

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Lecture Notes in Networks and Systems

  • ISBN

    978-3-031-35316-1

  • ISSN

    2367-3370

  • e-ISSN

    2367-3389

  • Number of pages

    16

  • Pages from-to

    557-572

  • Publisher name

    Springer

  • Place of publication

    Cham

  • Event location

    on-line

  • Event date

    Apr 3, 2023

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article