On Disturbance Rejection for a Class of Nonlinear Systems

System control techniques have been developing for a long time. For advanced system requirements, sophisticated control algorithms are necessary for the nonlinear systems with uncertainties and disturbances. Disturbance attenuation or rejection control has been attracting an increasing attention fro...

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Main Author: Wei Wei
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/1212534
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author Wei Wei
author_facet Wei Wei
author_sort Wei Wei
collection DOAJ
description System control techniques have been developing for a long time. For advanced system requirements, sophisticated control algorithms are necessary for the nonlinear systems with uncertainties and disturbances. Disturbance attenuation or rejection control has been attracting an increasing attention from both control theory researchers and control engineering practitioners. In this paper, a new disturbance rejection control is proposed. Controllable canonical form is taken as the standard form of system dynamics, and a disturbance observer is taken to estimate the discrepancy between system dynamics and its standard form. Then the discrepancy could be compensated by control laws. Conditions of the closed-loop stability and ultimate bound of the tracking error have been obtained. Numerical results have also been presented to support the proposed approach.
format Article
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institution Kabale University
issn 1076-2787
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publishDate 2018-01-01
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spelling doaj-art-344cf3e296584dd299cfb78260f542772025-02-03T01:32:10ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/12125341212534On Disturbance Rejection for a Class of Nonlinear SystemsWei Wei0School of Computer and Information Engineering, Beijing Key Laboratory of Big Data Technology for Food Safety, Beijing Technology and Business University, Beijing 100048, ChinaSystem control techniques have been developing for a long time. For advanced system requirements, sophisticated control algorithms are necessary for the nonlinear systems with uncertainties and disturbances. Disturbance attenuation or rejection control has been attracting an increasing attention from both control theory researchers and control engineering practitioners. In this paper, a new disturbance rejection control is proposed. Controllable canonical form is taken as the standard form of system dynamics, and a disturbance observer is taken to estimate the discrepancy between system dynamics and its standard form. Then the discrepancy could be compensated by control laws. Conditions of the closed-loop stability and ultimate bound of the tracking error have been obtained. Numerical results have also been presented to support the proposed approach.http://dx.doi.org/10.1155/2018/1212534
spellingShingle Wei Wei
On Disturbance Rejection for a Class of Nonlinear Systems
Complexity
title On Disturbance Rejection for a Class of Nonlinear Systems
title_full On Disturbance Rejection for a Class of Nonlinear Systems
title_fullStr On Disturbance Rejection for a Class of Nonlinear Systems
title_full_unstemmed On Disturbance Rejection for a Class of Nonlinear Systems
title_short On Disturbance Rejection for a Class of Nonlinear Systems
title_sort on disturbance rejection for a class of nonlinear systems
url http://dx.doi.org/10.1155/2018/1212534
work_keys_str_mv AT weiwei ondisturbancerejectionforaclassofnonlinearsystems