An integral and MRAC-based approach to the adaptive stabilisation of a class of linear time-delay systems with unknown parameters

• Autorzy: Ramírez Jerónimo Luis Felipe , Saldivar Belem , Aguilar-Ibañez Carlos , Acosta José Ángel

Identyfikatory

DOI

10.61822/amcs-2024-0006

• Języki publikacji: EN

Abstrakty

EN

The design of a novel strategy based on the model reference adaptive control method for the stabilisation of a second-order linear time-delay system with unknown parameters is presented. The proposed approach is developed under the assumption that only one state of the system is available, and the sign of the control gain is known. First, the integral operator is applied to obtain a new representation of the original system, where the whole state is known. The use of the integral operator decomposes the control problem into two subproblems that are solved by using the model reference adaptive control method and the backstepping procedure. The effectiveness of the proposed approach is illustrated through an academic example and a practical application case regarding a chemical reactor recycle system.

Słowa kluczowe

EN

MRAC; time delay system; backstepping procedure; integral operator

PL

MRAC; układ z opóźnieniem; operator całkowy

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2024
• Tom: Vol. 34, no. 1
• Strony: 81--91
• Opis fizyczny: Bibliogr. 25 poz., rys., wykr.

Twórcy

autor

Ramírez Jerónimo Luis Felipe

• Faculty of Engineering, Autonomous University of Mexico State, Cerro de Coatepec S/N, Ciudad Universitaria, 50110, Toluca de Lerdo, Mexico
• Faculty of Informatics, University of Murcia, Avda. Teniente Flomesta, 5, 30003, Murcia, Spain

autor

Saldivar Belem

• Department of Automatic Control, CINVESTAV-IPN, Av. Instituto Politécnico Nacional 2508, Col. San Pedro Zacatenco, Delegación Gustavo A. Madero, 07360, Mexico City, Mexico

autor

Aguilar-Ibañez Carlos

• Center of Computing Research, National Polytechnic Institute, Av. Juan de Dios Batiz S/N, 07738, Mexico City, Mexico

autor

Acosta José Ángel

• Department of System Engineering and Automatic Control, University of Seville, Camino de los Descubrimientos s/n, 41092, Sevilla, Spain

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).