Stabilization of a class of under-actuated nonlinear systems via under-actuated back-stepping

The stabilization problem for a class of nonlinear systems is solved via a novel method inspired by back-stepping. The method, that we call under-actuated back-stepping, is introduced by solving the stabilization problem for an inertia wheel pendulum and it is then developed for a class of under-act...

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Main Authors: Jingjing Jiang, Alessandro Astolfi
Format: Default Article
Published: 2020
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Online Access:https://hdl.handle.net/2134/14339600.v1
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spelling rr-article-143396002020-12-14T00:00:00Z Stabilization of a class of under-actuated nonlinear systems via under-actuated back-stepping Jingjing Jiang (5731739) Alessandro Astolfi (7120631) Mechanical engineering not elsewhere classified Industrial Engineering & Automation Applied Mathematics Electrical and Electronic Engineering Mechanical Engineering The stabilization problem for a class of nonlinear systems is solved via a novel method inspired by back-stepping. The method, that we call under-actuated back-stepping, is introduced by solving the stabilization problem for an inertia wheel pendulum and it is then developed for a class of under-actuated mechanical systems. The properties of the resulting closed-loop systems are studied in detail and case studies are given to show the effectiveness of the proposed method. 2020-12-14T00:00:00Z Text Journal contribution 2134/14339600.v1 https://figshare.com/articles/journal_contribution/Stabilization_of_a_class_of_under-actuated_nonlinear_systems_via_under-actuated_back-stepping/14339600 All Rights Reserved
institution Loughborough University
collection Figshare
topic Mechanical engineering not elsewhere classified
Industrial Engineering & Automation
Applied Mathematics
Electrical and Electronic Engineering
Mechanical Engineering
spellingShingle Mechanical engineering not elsewhere classified
Industrial Engineering & Automation
Applied Mathematics
Electrical and Electronic Engineering
Mechanical Engineering
Jingjing Jiang
Alessandro Astolfi
Stabilization of a class of under-actuated nonlinear systems via under-actuated back-stepping
description The stabilization problem for a class of nonlinear systems is solved via a novel method inspired by back-stepping. The method, that we call under-actuated back-stepping, is introduced by solving the stabilization problem for an inertia wheel pendulum and it is then developed for a class of under-actuated mechanical systems. The properties of the resulting closed-loop systems are studied in detail and case studies are given to show the effectiveness of the proposed method.
format Default
Article
author Jingjing Jiang
Alessandro Astolfi
author_facet Jingjing Jiang
Alessandro Astolfi
author_sort Jingjing Jiang (5731739)
title Stabilization of a class of under-actuated nonlinear systems via under-actuated back-stepping
title_short Stabilization of a class of under-actuated nonlinear systems via under-actuated back-stepping
title_full Stabilization of a class of under-actuated nonlinear systems via under-actuated back-stepping
title_fullStr Stabilization of a class of under-actuated nonlinear systems via under-actuated back-stepping
title_full_unstemmed Stabilization of a class of under-actuated nonlinear systems via under-actuated back-stepping
title_sort stabilization of a class of under-actuated nonlinear systems via under-actuated back-stepping
publishDate 2020
url https://hdl.handle.net/2134/14339600.v1
_version_ 1797277393715462144