KMS Of Academy of mathematics and systems sciences, CAS
Matrix Decomposition-Based Adaptive Control of Noncanonical Form MIMO DT Nonlinear Systems | |
Zhang, Yanjun1; Zhang, Ji-Feng2,3; Liu, Xiao-Kang4 | |
2022-08-01 | |
发表期刊 | IEEE TRANSACTIONS ON AUTOMATIC CONTROL |
ISSN | 0018-9286 |
卷号 | 67期号:8页码:4330-4337 |
摘要 | This article presents a new study on adaptive control of multi-input and multi-output (MIMO) discrete-time nonlinear systems with a noncanonical form involving parametric uncertainties. The adaptive control scheme employs a vector relative degree formulation to reconstruct the noncanonical system dynamics and derives a normal form. Then, a new matrix decomposition-based adaptive control scheme is proposed for the controlled plant with a vector relative degree [1, 1,..., 1] under some relaxed design conditions. In particular, the matrix decomposition technique is adopted to overcome the singularity problem during the adaptive estimation of an uncertain high-frequency gain matrix. The adaptive control scheme ensures closed-loop stability and asymptotic output tracking. An extension to the adaptive control of general canonical-form MIMO discrete-time nonlinear systems is also presented. Finally, through simulations, the effectiveness of the proposed control scheme is verified. |
关键词 | Adaptive control matrix decomposition noncanonical form output tracking |
DOI | 10.1109/TAC.2021.3115850 |
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[62173323] ; National Natural Science Foundation of China[61877057] ; National Natural Science Foundation of China[61803226] ; Beijing Institute of Technology Research Fund Program for Young Scholars |
WOS研究方向 | Automation & Control Systems ; Engineering |
WOS类目 | Automation & Control Systems ; Engineering, Electrical & Electronic |
WOS记录号 | WOS:000831140100055 |
出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/61137 |
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.Beijing Inst Technol, Sch Automat, Beijing 100081, Peoples R China 2.Chinese Acad Sci, Key Lab Syst & Control, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100149, Peoples R China 4.Huazhong Univ Sci & Technol, Sch Artificial Intelligence & Automat, Wuhan 430074, Peoples R China |
推荐引用方式 GB/T 7714 | Zhang, Yanjun,Zhang, Ji-Feng,Liu, Xiao-Kang. Matrix Decomposition-Based Adaptive Control of Noncanonical Form MIMO DT Nonlinear Systems[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2022,67(8):4330-4337. |
APA | Zhang, Yanjun,Zhang, Ji-Feng,&Liu, Xiao-Kang.(2022).Matrix Decomposition-Based Adaptive Control of Noncanonical Form MIMO DT Nonlinear Systems.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,67(8),4330-4337. |
MLA | Zhang, Yanjun,et al."Matrix Decomposition-Based Adaptive Control of Noncanonical Form MIMO DT Nonlinear Systems".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 67.8(2022):4330-4337. |
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