Nonsmooth adaptive control for uncertain nonlinear systems: a non-recursive design approach

In this letter, a one-step nonsmooth adaptive controller design framework is proposed the first time for a class of nonlinear systems with general non-parametric uncertainties. By virtue of a novel non-recursive synthesis philosophy, a nonsmooth adaptive stabilizer can be constructed straightforward...

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Main Authors: Chuanlin Zhang, Jun Yang
Format: Default Article
Published: 2021
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Online Access:https://hdl.handle.net/2134/16578584.v1
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spelling rr-article-165785842021-03-10T00:00:00Z Nonsmooth adaptive control for uncertain nonlinear systems: a non-recursive design approach Chuanlin Zhang (748188) Jun Yang (4410343) adaptive stabilization non-recursive design homogeneous system theory non-parametric uncertainty In this letter, a one-step nonsmooth adaptive controller design framework is proposed the first time for a class of nonlinear systems with general non-parametric uncertainties. By virtue of a novel non-recursive synthesis philosophy, a nonsmooth adaptive stabilizer can be constructed straightforwardly from the system in a possible simplest form, which facilitates practical implementations. In reference to well-acknowledged recursive design based approaches, direct improvements with this new non-recursive methodology include largely reduced synthesis complexity along with an essential detachment of control law design and stability analysis. A numerical example is provided to demonstrate both the simplicity and effectiveness of the proposed algorithm. 2021-03-10T00:00:00Z Text Journal contribution 2134/16578584.v1 https://figshare.com/articles/journal_contribution/Nonsmooth_adaptive_control_for_uncertain_nonlinear_systems_a_non-recursive_design_approach/16578584 All Rights Reserved
institution Loughborough University
collection Figshare
topic adaptive stabilization
non-recursive design
homogeneous system theory
non-parametric uncertainty
spellingShingle adaptive stabilization
non-recursive design
homogeneous system theory
non-parametric uncertainty
Chuanlin Zhang
Jun Yang
Nonsmooth adaptive control for uncertain nonlinear systems: a non-recursive design approach
description In this letter, a one-step nonsmooth adaptive controller design framework is proposed the first time for a class of nonlinear systems with general non-parametric uncertainties. By virtue of a novel non-recursive synthesis philosophy, a nonsmooth adaptive stabilizer can be constructed straightforwardly from the system in a possible simplest form, which facilitates practical implementations. In reference to well-acknowledged recursive design based approaches, direct improvements with this new non-recursive methodology include largely reduced synthesis complexity along with an essential detachment of control law design and stability analysis. A numerical example is provided to demonstrate both the simplicity and effectiveness of the proposed algorithm.
format Default
Article
author Chuanlin Zhang
Jun Yang
author_facet Chuanlin Zhang
Jun Yang
author_sort Chuanlin Zhang (748188)
title Nonsmooth adaptive control for uncertain nonlinear systems: a non-recursive design approach
title_short Nonsmooth adaptive control for uncertain nonlinear systems: a non-recursive design approach
title_full Nonsmooth adaptive control for uncertain nonlinear systems: a non-recursive design approach
title_fullStr Nonsmooth adaptive control for uncertain nonlinear systems: a non-recursive design approach
title_full_unstemmed Nonsmooth adaptive control for uncertain nonlinear systems: a non-recursive design approach
title_sort nonsmooth adaptive control for uncertain nonlinear systems: a non-recursive design approach
publishDate 2021
url https://hdl.handle.net/2134/16578584.v1
_version_ 1796733257148006400