{"title":"Composite Control Based on Robust Disturbance Interval Estimation for Nonlinear Systems With Multiple Disturbances and Its Applications","authors":"Yuhan Xu, Zelong Wu, Yongjian Yang, Yukai Zhu, Makoto Iwasaki, Fang Fang","doi":"10.1002/rnc.7997","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>In this paper, a composite antidisturbance control scheme based on <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mrow>\n <mi>L</mi>\n </mrow>\n <mrow>\n <mn>1</mn>\n </mrow>\n </msub>\n </mrow>\n <annotation>$$ {L}_1 $$</annotation>\n </semantics></math> robust disturbance interval observer (RDIO) is proposed for a class of nonlinear systems with multiple disturbances. Considering the disturbance with uncertainties in asymmetry bounds, different from the existing composite antidisturbance scheme, here a <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mrow>\n <mi>L</mi>\n </mrow>\n <mrow>\n <mn>1</mn>\n </mrow>\n </msub>\n </mrow>\n <annotation>$$ {L}_1 $$</annotation>\n </semantics></math> RDIO is designed utilizing the uncertainty information to obtain the possible interval of real disturbance, and the disturbance effect is suppressed by compressing the interval for robust performance. The comparison of estimation accuracy of <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mrow>\n <mi>L</mi>\n </mrow>\n <mrow>\n <mn>1</mn>\n </mrow>\n </msub>\n </mrow>\n <annotation>$$ {L}_1 $$</annotation>\n </semantics></math> RDIO with traditional disturbance observer (DO) is given in theoretical analysis. Furthermore, algorithms for solving the <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mrow>\n <mi>L</mi>\n </mrow>\n <mrow>\n <mn>1</mn>\n </mrow>\n </msub>\n </mrow>\n <annotation>$$ {L}_1 $$</annotation>\n </semantics></math> RDIO parameters are provided for generalized and specific situations. Based on <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mrow>\n <mi>L</mi>\n </mrow>\n <mrow>\n <mn>1</mn>\n </mrow>\n </msub>\n </mrow>\n <annotation>$$ {L}_1 $$</annotation>\n </semantics></math> RDIO and integral sliding mode control (ISMC), a composite integral sliding mode controller with disturbance compensation and attenuation ability is proposed to realize the high-precision stabilization. Finally, the effectiveness and superiority of the proposed control scheme are verified by numerical simulation and the application to the motor rotation tracking with hardware-in-loop (HIL) experiment.</p>\n </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 13","pages":"5529-5540"},"PeriodicalIF":3.2000,"publicationDate":"2025-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Robust and Nonlinear Control","FirstCategoryId":"94","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/rnc.7997","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, a composite antidisturbance control scheme based on robust disturbance interval observer (RDIO) is proposed for a class of nonlinear systems with multiple disturbances. Considering the disturbance with uncertainties in asymmetry bounds, different from the existing composite antidisturbance scheme, here a RDIO is designed utilizing the uncertainty information to obtain the possible interval of real disturbance, and the disturbance effect is suppressed by compressing the interval for robust performance. The comparison of estimation accuracy of RDIO with traditional disturbance observer (DO) is given in theoretical analysis. Furthermore, algorithms for solving the RDIO parameters are provided for generalized and specific situations. Based on RDIO and integral sliding mode control (ISMC), a composite integral sliding mode controller with disturbance compensation and attenuation ability is proposed to realize the high-precision stabilization. Finally, the effectiveness and superiority of the proposed control scheme are verified by numerical simulation and the application to the motor rotation tracking with hardware-in-loop (HIL) experiment.
期刊介绍:
Papers that do not include an element of robust or nonlinear control and estimation theory will not be considered by the journal, and all papers will be expected to include significant novel content. The focus of the journal is on model based control design approaches rather than heuristic or rule based methods. Papers on neural networks will have to be of exceptional novelty to be considered for the journal.