A New Robust Adaptive Control Method for Complex Nontriangular Nonlinear Systems

The existing research studies on adaptive control frequently introduce many parameter estimations and lead to a complicated controller. This paper investigates the robust regulation issue for high-order system and plants to raise a new approach for adaptive control. Specifically, the considered syst...

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Main Authors: Lingrong Xue, Zhen-Guo Liu
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2023/6628901
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author Lingrong Xue
Zhen-Guo Liu
author_facet Lingrong Xue
Zhen-Guo Liu
author_sort Lingrong Xue
collection DOAJ
description The existing research studies on adaptive control frequently introduce many parameter estimations and lead to a complicated controller. This paper investigates the robust regulation issue for high-order system and plants to raise a new approach for adaptive control. Specifically, the considered system has odd system power, nontriangular form, and external disturbance. By introducing the transformations of a parameter estimation, the studied system is transformed into a new dynamic system. By employing fuzzy systems and some inequality skills, the appropriate bounds of nonlinear terms are established. Based on the adaptive method and homogeneous control, a recursive control design algorithm is provided to construct a new adaptive controller, which dominates those uncertain bounds and guarantees that the closed-loop system is semiglobally uniformly ultimately bounded (SUUB). The constructed controller employs only one adaptive law and has a much simpler form. Simulation examples verify the validness of the presented method.
format Article
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institution Kabale University
issn 1099-0526
language English
publishDate 2023-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-36ffc5ccd5824421aba5c8420e20c4012025-08-20T03:55:01ZengWileyComplexity1099-05262023-01-01202310.1155/2023/6628901A New Robust Adaptive Control Method for Complex Nontriangular Nonlinear SystemsLingrong Xue0Zhen-Guo Liu1School of InformationSchool of Automation and Software EngineeringThe existing research studies on adaptive control frequently introduce many parameter estimations and lead to a complicated controller. This paper investigates the robust regulation issue for high-order system and plants to raise a new approach for adaptive control. Specifically, the considered system has odd system power, nontriangular form, and external disturbance. By introducing the transformations of a parameter estimation, the studied system is transformed into a new dynamic system. By employing fuzzy systems and some inequality skills, the appropriate bounds of nonlinear terms are established. Based on the adaptive method and homogeneous control, a recursive control design algorithm is provided to construct a new adaptive controller, which dominates those uncertain bounds and guarantees that the closed-loop system is semiglobally uniformly ultimately bounded (SUUB). The constructed controller employs only one adaptive law and has a much simpler form. Simulation examples verify the validness of the presented method.http://dx.doi.org/10.1155/2023/6628901
spellingShingle Lingrong Xue
Zhen-Guo Liu
A New Robust Adaptive Control Method for Complex Nontriangular Nonlinear Systems
Complexity
title A New Robust Adaptive Control Method for Complex Nontriangular Nonlinear Systems
title_full A New Robust Adaptive Control Method for Complex Nontriangular Nonlinear Systems
title_fullStr A New Robust Adaptive Control Method for Complex Nontriangular Nonlinear Systems
title_full_unstemmed A New Robust Adaptive Control Method for Complex Nontriangular Nonlinear Systems
title_short A New Robust Adaptive Control Method for Complex Nontriangular Nonlinear Systems
title_sort new robust adaptive control method for complex nontriangular nonlinear systems
url http://dx.doi.org/10.1155/2023/6628901
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AT zhenguoliu newrobustadaptivecontrolmethodforcomplexnontriangularnonlinearsystems