KMS Of Academy of mathematics and systems sciences, CAS
| Backstepping Active Disturbance Rejection Control for Lower Triangular Nonlinear Systems With Mismatched Stochastic Disturbances | |
| Wu, Ze-Hao1; Deng, Feiqi2; Guo, Bao-Zhu3,4; Wu, Chufen1; Xiang, Qiaomin1 | |
| 2021-01-28 | |
| Source Publication | IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
 |
| ISSN | 2168-2216 |
| Pages | 15 |
| Abstract | In this article, we apply the active disturbance rejection control (ADRC) to the output tracking of a class of lower triangular nonlinear systems subject to mismatched bounded stochastic disturbances of unknown statistic characteristics and nonvanishing at the origin. A major obstacle is that the paths of the stochastic disturbances are nowhere differentiable almost surely which causes that the stochastic disturbances cannot be refined into the control input channel by the usual way of state transformation. To overcome this obstacle, a set of second-order extended state observers is first designed to estimate, in real time, the disturbance in each channel, and then a backstepping ADRC based on feedforward compensation and a constructive backstepping procedure is developed, guaranteeing that the closed-loop output tracks a time-varying reference signal in practically mean square and the closed-loop states are practically bounded in probability first defined in this article. Finally, some numerical simulations are presented to validate the effectiveness of the proposed backstepping ADRC approach. |
| Keyword | Backstepping Nonlinear systems Observers Real-time systems Robust control Attenuation Stochastic systems Active disturbance rejection control (ADRC) backstepping control extended state observer (ESO) lower triangular nonlinear systems mismatched bounded stochastic disturbances output tracking |
| DOI | 10.1109/TSMC.2021.3050820 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[61903087] ; National Natural Science Foundation of China[62073144] ; National Natural Science Foundation of China[61733008] ; National Natural Science Foundation of China[61873260] ; National Natural Science Foundation of China[12071074] ; National Natural Science Foundation of China[11901091] ; Natural Science Foundation of Guangdong Province[2018A030310357] ; Natural Science Foundation of Guangdong Province[2018A1660005] |
| WOS Research Area | Automation & Control Systems ; Computer Science |
| WOS Subject | Automation & Control Systems ; Computer Science, Cybernetics |
| WOS ID | WOS:000732217600001 |
| Publisher | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59734 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Deng, Feiqi |
| Affiliation | 1.Foshan Univ, Sch Math & Big Data, Foshan 528000, Peoples R China 2.South China Univ Technol, Syst Engn Inst, Guangzhou 510640, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 4.North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China |
| Recommended Citation GB/T 7714 | Wu, Ze-Hao,Deng, Feiqi,Guo, Bao-Zhu,et al. Backstepping Active Disturbance Rejection Control for Lower Triangular Nonlinear Systems With Mismatched Stochastic Disturbances[J]. IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS,2021:15. |
| APA | Wu, Ze-Hao,Deng, Feiqi,Guo, Bao-Zhu,Wu, Chufen,&Xiang, Qiaomin.(2021).Backstepping Active Disturbance Rejection Control for Lower Triangular Nonlinear Systems With Mismatched Stochastic Disturbances.IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS,15. |
| MLA | Wu, Ze-Hao,et al."Backstepping Active Disturbance Rejection Control for Lower Triangular Nonlinear Systems With Mismatched Stochastic Disturbances".IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS (2021):15. |
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