Robust extremum seeking for a second order uncertain plant using a sliding mode controller

• Autorzy: Solis Cesar , Clempner Julio , Poznyak Alexander

Identyfikatory

DOI

10.2478/amcs-2019-0052

• Języki publikacji: EN

Abstrakty

EN

This paper suggests a novel continuous-time robust extremum seeking algorithm for an unknown convex function constrained by a dynamical plant with uncertainties. The main idea of the proposed method is to develop a robust closed-loop controller based on sliding modes where the sliding surface takes the trajectory around a zone of the optimal point. We assume that the output of the plant is given by the states and a measure of the function. We show the stability and zone-convergence of the proposed algorithm. In order to validate the proposed method, we present a numerical example.

Słowa kluczowe

EN

convex optimization; extremum seeking; continuous time gradient algorithm; dynamical constrained optimization; unknown function

PL

optymalizacja wypukła; poszukiwanie ekstremum; algorytm gradientowy; optymalizacja ograniczona

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2019
• Tom: Vol. 29, no. 4
• Strony: 703--712
• Opis fizyczny: Bibliogr. 32 poz., rys., wykr.

Twórcy

autor

Solis Cesar

• Center for Research and Advanced Studies, National Polytechnic Institute, Av. Instituto Politécnico Nacional 2508, Col. San Pedro Zacatenco, Del. Gustavo A. Madero, 07360 Mexico City, Mexico

autor

Clempner Julio

• School of Physics and Mathematics, National Polytechnic Institute, Av. Instituto Polit´ecnico Nacional, Building 9, San Pedro Zacatenco, Gustavo A. Madero, 07738 Mexico City, Mexico

autor

Poznyak Alexander

• Center for Research and Advanced Studies, National Polytechnic Institute, Av. Instituto Politécnico Nacional 2508, Col. San Pedro Zacatenco, Del. Gustavo A. Madero, 07360 Mexico City, Mexico

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).