The Lotka-Volterra Model for Competition Controlled by a Sliding Mode Approach

Research output: Contributions to collected editions/worksArticle in conference proceedingsResearchpeer-review

Authors

  • P. Mercorelli
  • M. F. Santos
  • E. F.V. Carvalho
  • A. F. Santos Neto
  • F. M. Fernandes

This paper deals with a variation of the Lotka-Volterra model and its control using Sliding Mode Control (SMC). The Lotka-Volterra model consists of two nonlinear equations of the equilibrium region, where they are calculated and their local stability analysis and a design of a controller are conducted using the Lyapunov approach. After that, this paper presents the system's control in asymptotical stable and unstable regions. The proposed control strategy is an SMC strategy, which in fact is robust for parameter variations and disturbances. Often, the Lotka-Volterra model parameters are difficult to be identified or they are identified with large uncertainties because they can change over time. Simulation results are shown to demonstrate the proposed control strategy performance.

Original languageEnglish
Title of host publicationProceedings of the 2023 24th International Carpathian Control Conference, ICCC 2023
EditorsDaniel Drotos, Rabab Benotsmane, Attila Karoly Varga, Attila Trohak, Jozsef Vasarhelyi
Number of pages6
PublisherInstitute of Electrical and Electronics Engineers Inc.
Publication date12.06.2023
Pages273-278
ISBN (print)979-8-3503-1023-8
ISBN (electronic)979-8-3503-1022-1
DOIs
Publication statusPublished - 12.06.2023
Event24th International Carpathian Control Conference - Sinaia, Romania
Duration: 12.05.202314.05.2023
Conference number: 24

Bibliographical note

Funding Information:
The authors acknowledge support from Leuphana University of Lueneburg, CEFET-MG, and Deutscher Akademischer Aus-tauschdienst (DAAD). This work was inspired by the Master’s lecture entitled ”Modelling and Control of Dynamical Systems using Linear and Nonlinear Differential Equations” within the scope of the Complementary Studies Programme at Leuphana University of Lueneburg during the winter semester 2020-2021 held by Prof. Dr.-Ing Paolo Mercorelli.

Publisher Copyright:
© 2023 IEEE.

    Research areas

  • Lotka-Volterra Model, Lyapunov Approach, Sliding Mode Control
  • Engineering

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