The Lotka-Volterra Model for Competition Controlled by a Sliding Mode Approach
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Authors
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 language | English |
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Title of host publication | Proceedings of the 2023 24th International Carpathian Control Conference, ICCC 2023 |
Editors | Daniel Drotos, Rabab Benotsmane, Attila Karoly Varga, Attila Trohak, Jozsef Vasarhelyi |
Number of pages | 6 |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Publication date | 12.06.2023 |
Pages | 273-278 |
ISBN (print) | 979-8-3503-1023-8 |
ISBN (electronic) | 979-8-3503-1022-1 |
DOIs | |
Publication status | Published - 12.06.2023 |
Event | 24th International Carpathian Control Conference - Sinaia, Romania Duration: 12.05.2023 → 14.05.2023 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.
- Lotka-Volterra Model, Lyapunov Approach, Sliding Mode Control
- Engineering