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

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

Standard

The Lotka-Volterra Model for Competition Controlled by a Sliding Mode Approach. / Mercorelli, P.; Santos, M. F.; Carvalho, E. F.V. et al.
Proceedings of the 2023 24th International Carpathian Control Conference, ICCC 2023. ed. / Daniel Drotos; Rabab Benotsmane; Attila Karoly Varga; Attila Trohak; Jozsef Vasarhelyi. Institute of Electrical and Electronics Engineers Inc., 2023. p. 273-278 (Proceedings of the 2023 24th International Carpathian Control Conference, ICCC 2023).

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

Harvard

Mercorelli, P, Santos, MF, Carvalho, EFV, Santos Neto, AF & Fernandes, FM 2023, The Lotka-Volterra Model for Competition Controlled by a Sliding Mode Approach. in D Drotos, R Benotsmane, AK Varga, A Trohak & J Vasarhelyi (eds), Proceedings of the 2023 24th International Carpathian Control Conference, ICCC 2023. Proceedings of the 2023 24th International Carpathian Control Conference, ICCC 2023, Institute of Electrical and Electronics Engineers Inc., pp. 273-278, 24th International Carpathian Control Conference, Sinaia, Romania, 12.05.23. https://doi.org/10.1109/ICCC57093.2023.10178938

APA

Mercorelli, P., Santos, M. F., Carvalho, E. F. V., Santos Neto, A. F., & Fernandes, F. M. (2023). The Lotka-Volterra Model for Competition Controlled by a Sliding Mode Approach. In D. Drotos, R. Benotsmane, A. K. Varga, A. Trohak, & J. Vasarhelyi (Eds.), Proceedings of the 2023 24th International Carpathian Control Conference, ICCC 2023 (pp. 273-278). (Proceedings of the 2023 24th International Carpathian Control Conference, ICCC 2023). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICCC57093.2023.10178938

Vancouver

Mercorelli P, Santos MF, Carvalho EFV, Santos Neto AF, Fernandes FM. The Lotka-Volterra Model for Competition Controlled by a Sliding Mode Approach. In Drotos D, Benotsmane R, Varga AK, Trohak A, Vasarhelyi J, editors, Proceedings of the 2023 24th International Carpathian Control Conference, ICCC 2023. Institute of Electrical and Electronics Engineers Inc. 2023. p. 273-278. (Proceedings of the 2023 24th International Carpathian Control Conference, ICCC 2023). doi: 10.1109/ICCC57093.2023.10178938

Bibtex

@inbook{f9476d659e3942f3baa4151b7116c44b,
title = "The Lotka-Volterra Model for Competition Controlled by a Sliding Mode Approach",
abstract = "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.",
keywords = "Lotka-Volterra Model, Lyapunov Approach, Sliding Mode Control, Engineering",
author = "P. Mercorelli and Santos, {M. F.} and Carvalho, {E. F.V.} and {Santos Neto}, {A. F.} and Fernandes, {F. M.}",
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{\textquoteright}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: {\textcopyright} 2023 IEEE.; 24th International Carpathian Control Conference, ICCC 2023 ; Conference date: 12-05-2023 Through 14-05-2023",
year = "2023",
month = jun,
day = "12",
doi = "10.1109/ICCC57093.2023.10178938",
language = "English",
isbn = "979-8-3503-1023-8",
series = "Proceedings of the 2023 24th International Carpathian Control Conference, ICCC 2023",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "273--278",
editor = "Daniel Drotos and Rabab Benotsmane and Varga, {Attila Karoly} and Attila Trohak and Jozsef Vasarhelyi",
booktitle = "Proceedings of the 2023 24th International Carpathian Control Conference, ICCC 2023",
address = "United States",

}

RIS

TY - CHAP

T1 - The Lotka-Volterra Model for Competition Controlled by a Sliding Mode Approach

AU - Mercorelli, P.

AU - Santos, M. F.

AU - Carvalho, E. F.V.

AU - Santos Neto, A. F.

AU - Fernandes, F. M.

N1 - Conference code: 24

PY - 2023/6/12

Y1 - 2023/6/12

N2 - 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.

AB - 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.

KW - Lotka-Volterra Model

KW - Lyapunov Approach

KW - Sliding Mode Control

KW - Engineering

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U2 - 10.1109/ICCC57093.2023.10178938

DO - 10.1109/ICCC57093.2023.10178938

M3 - Article in conference proceedings

AN - SCOPUS:85166484741

SN - 979-8-3503-1023-8

T3 - Proceedings of the 2023 24th International Carpathian Control Conference, ICCC 2023

SP - 273

EP - 278

BT - Proceedings of the 2023 24th International Carpathian Control Conference, ICCC 2023

A2 - Drotos, Daniel

A2 - Benotsmane, Rabab

A2 - Varga, Attila Karoly

A2 - Trohak, Attila

A2 - Vasarhelyi, Jozsef

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 24th International Carpathian Control Conference

Y2 - 12 May 2023 through 14 May 2023

ER -