First-order sliding mode control for second order systems with asymmetric constraints

Caridad Mireles-Perez, Manuela Gomez-Correa, David Cruz-Ortiz, Mariana Ballesteros, Ivan Salgado

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

This manuscript proposes a first-order sliding mode controller for tracking tasks applied to second-order nonlinear systems subjected to asymmetric state restrictions. The stability proof employs an asymmetric Barrier Lyapunov function to ensure the fulfillment of the state restrictions and the finite-time convergence of the trajectories towards the siding surface despite the presence of matched uncertainties and unmodeled dynamics. Consequently, the tracking error has an asymptotically stable equilibrium point. Numerical simulations compare this proposal against classical control techniques.

Original languageEnglish
Title of host publication2022 10th International Conference on Systems and Control, ICSC 2022
EditorsDriss Mehdi, Rachid Outbib, Ahmed El-Hajjaji, Eric Busvelle, Hassan Noura
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages227-232
Number of pages6
ISBN (Electronic)9781665465076
DOIs
StatePublished - 2022
Event10th International Conference on Systems and Control, ICSC 2022 - Marseille, France
Duration: 23 Nov 202225 Nov 2022

Publication series

Name2022 10th International Conference on Systems and Control, ICSC 2022

Conference

Conference10th International Conference on Systems and Control, ICSC 2022
Country/TerritoryFrance
CityMarseille
Period23/11/2225/11/22

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