Robust LFT-LPV H∞ control of an underactuated inverted pendulum on a cart with optimal weighting functions selection by ga and es

• Autorzy: Hasseni Seif-El-Islam , Abdoul Latifa

Identyfikatory

DOI

10.2478/ama-2020-0027

• Języki publikacji: EN

Abstrakty

EN

This article investigates the robust stabilization and control of the inverted pendulum on a cart against disturbances, measure-ment noises, and parametric uncertainties by the LFT-based LPV technique (Linear-Fractional-Transformation based Linear-Parameter-Varying). To make the applying of the LPV technique possible, the LPV representation of the inverted pendulum on a cart model is devel-oped. Besides, the underactuated constraint of this vehicle is overcome by considering both degrees of freedom (the rotational one and the translational one) in the structure. Moreover, the selection of the weighting functions that represent the desired performance is solved by two approaches of evolutionary algorithms; Genetic Algorithms (GA) and Evolutionary Strategies (ES) to find the weighting functions’ optimal parameters. To validate the proposed approach, simulations are performed and they show the effectiveness of the proposed approach to obtain robust controllers against external signals, as well as the parametric uncertainties.

Słowa kluczowe

EN

inverted pendulum on a cart; robust control; underactuated systems; linear parameter varying systems; H∞

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2020
• Tom: Vol. 14, no. 4
• Strony: 186--197
• Opis fizyczny: Bibliogr. 52 poz., rys., tab., wykr.

Twórcy

autor

Hasseni Seif-El-Islam

• LMSE Laboratory, Electrical Engineering Department, University of Biskra, BP 145 RP, 07000, Biskra, Algeria

autor

Abdoul Latifa

• LI3CUB Laboratory, Electrical Engineering Department, University of Biskra, BP 145 RP, 07000, Biskra, Algeria

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