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 | |
| Source Publication | AUTOMATICA
 |
| ISSN | 0005-1098 |
| Volume | 129Pages:13 |
| Abstract | 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. |
| Keyword | Adaptive control Implicit function Non-canonical form Parametrization Output tracking |
| DOI | 10.1016/j.automatica.2021.109629 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Automation & Control Systems ; Engineering |
| WOS Subject | Automation & Control Systems ; Engineering, Electrical & Electronic |
| WOS ID | WOS:000655690000009 |
| Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58804 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Zhang, Ji-Feng |
| Affiliation | 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 |
| Recommended Citation 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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