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Control design for maximal capability of disturbance rejection under general control input saturation
Song, Xiaojing1,2; Xue, Wenchao1,2; Zhao, Yanlong1,2
2021-12-01
Source PublicationJOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
ISSN0016-0032
Volume358Issue:18Pages:9771-9793
AbstractThis paper focuses on the control problem for a basic class of nonaffine uncertain systems with general control input saturation (CIS) and piecewise constant disturbance. Instead of traditional CIS, the considered general CIS model includes the case that larger control input generates smaller con-trol capability to capture more general engineering systems. Also, the saturation point, at which the maximum or minimum value of the saturation function of general CIS can be obtained, is assumed to be unknown. To achieve the maximal capability of disturbance rejection, this paper proposes a novel active disturbance rejection control design with online estimating both disturbance and the saturation points. Firstly, the control capability under the nominal saturation points is discussed. We demonstrate that the corresponding capability of disturbance rejection can be discussed via the domain of attraction or invariant set of the systems with general CIS despite of disturbance. Furthermore, we design an algorithm to online identify the saturation points based on the estimation of "total disturbance" obtained by extended state observer (ESO). It is proven that the maximal capability of disturbance rejection can be approached by tuning the parameters of the proposed controller. In addition, simulation results for the angular rate control of aircraft show the superiority of our control law to the traditional disturbance rejection control law. (C) 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
DOI10.1016/j.jfranklin.2021.10.026
Indexed BySCI
Language英语
Funding ProjectNational Nature Science Foundation of China[61633003-3] ; National Nature Science Foundation of China[61973299] ; National Nature Science Foundation of China[62122083] ; Beijing Advanced Innovation Center for Intelligent Robots[2019IRS09]
WOS Research AreaAutomation & Control Systems ; Engineering ; Mathematics
WOS SubjectAutomation & Control Systems ; Engineering, Multidisciplinary ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000774315200025
PublisherPERGAMON-ELSEVIER SCIENCE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/60237
Collection中国科学院数学与系统科学研究院
Corresponding AuthorXue, Wenchao
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, LSC, NCMIS, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Song, Xiaojing,Xue, Wenchao,Zhao, Yanlong. Control design for maximal capability of disturbance rejection under general control input saturation[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,2021,358(18):9771-9793.
APA Song, Xiaojing,Xue, Wenchao,&Zhao, Yanlong.(2021).Control design for maximal capability of disturbance rejection under general control input saturation.JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,358(18),9771-9793.
MLA Song, Xiaojing,et al."Control design for maximal capability of disturbance rejection under general control input saturation".JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS 358.18(2021):9771-9793.
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