KMS Of Academy of mathematics and systems sciences, CAS
Implicit function based adaptive control of non-canonical form discrete-time nonlinear systems | |
Zhang, Yanjun1,2; Zhang, Ji-Feng1,2; Liu, Xiao-Kang3 | |
2021-07-01 | |
发表期刊 | AUTOMATICA |
ISSN | 0005-1098 |
卷号 | 129页码:13 |
摘要 | This paper presents a new study on adaptive state feedback output tracking control problem for uncertain discrete-time nonlinear systems in a general non-canonical form. Time-advance operations on the output of such systems result in the output dynamics being nonlinearly dependent on the control input and unknown parameters, which leads to three technical issues: implicit relative degree; nonlinearly parameterized uncertainties; and non-affine control input. To address these issues, this paper first employs feedback linearization and implicit function theory to construct a relative degree dependent normal form; then proposes an adaptive parametric reconstruction based method to simultaneously deal with linearly and nonlinearly parameterized uncertainties in the output dynamics; and finally constructs a key implicit function equation to derive a unique adaptive control law which ensures closed-loop stability and asymptotic output tracking. An explicitly iterative solution based adaptive control law is also proposed to ensure closed-loop stability and bounded output tracking within any degree of accuracy. The simulation verifies the effectiveness of the proposed adaptive control method. (C) 2021 Elsevier Ltd. All rights reserved. |
关键词 | Adaptive control Implicit function Non-canonical form Parametrization Output tracking |
DOI | 10.1016/j.automatica.2021.109629 |
收录类别 | SCI |
语种 | 英语 |
资助项目 | National Key R&D Program of China[2018YFA0703800] ; National Natural Science Foundation of China[61803226] ; National Natural Science Foundation of China[61533009] ; National Natural Science Foundation of China[61877057] ; China Postdoctoral Science Foundation[BX20190358] ; China Postdoctoral Science Foundation[2019M660835] |
WOS研究方向 | Automation & Control Systems ; Engineering |
WOS类目 | Automation & Control Systems ; Engineering, Electrical & Electronic |
WOS记录号 | WOS:000655690000009 |
出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/58804 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Zhang, Ji-Feng |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100149, Peoples R China 3.Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore |
推荐引用方式 GB/T 7714 | Zhang, Yanjun,Zhang, Ji-Feng,Liu, Xiao-Kang. Implicit function based adaptive control of non-canonical form discrete-time nonlinear systems[J]. AUTOMATICA,2021,129:13. |
APA | Zhang, Yanjun,Zhang, Ji-Feng,&Liu, Xiao-Kang.(2021).Implicit function based adaptive control of non-canonical form discrete-time nonlinear systems.AUTOMATICA,129,13. |
MLA | Zhang, Yanjun,et al."Implicit function based adaptive control of non-canonical form discrete-time nonlinear systems".AUTOMATICA 129(2021):13. |
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