Finite-time convergence of perturbed nonlinear systems using adaptive barrier-function nonsingular sliding mode control with experimental validation

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Publication Details

Author list: Mofid, Omid; Amirkhani, Saeed; Din, Sami ud; Mobayen, Saleh; Vu, Mai The; Assawinchaichote, Wudhichai;

Publisher: SAGE Publications

Publication year: 2022

Journal: Journal of Vibration and Control (1077-5463)

Volume number: 29

Issue number: 13-14

Start page: 3326

End page: 3339

Number of pages: 14

ISSN: 1077-5463

eISSN: 1741-2986

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85130884408&doi=10.1177%2f10775463221094889&partnerID=40&md5=0b9e53a57ededf0814600a7966d7a288

Languages: English-Great Britain (EN-GB)

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Abstract

In this study, an adaptive barrier procedure is combined with nonsingular sliding mode control (SMC) technique at the aim of the fast stabilization of nonlinear system with external disturbances. It is verified that the barred function-based control law leads to the fast convergence of state errors to a region near origin. Furthermore, the suggested method eradicates the requirement for the knowledge of upper bounds of exterior perturbations which are frequently required in SMC scheme. The stability analysis confirms fast convergence of the error states to a predetermined region. In order to demonstrate the validity of the planned method, a mass-spring system is examined as the case study. Finally, simulation and experimental outcomes on a mass-spring system are given to prove the efficacy and success of the advised methodology. © The Author(s) 2022.

Keywords

barrier function, disturbance observation, nonsingular control, terminal sliding mode control