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An Implicit Function-Based Adaptive Control Scheme for Noncanonical-Form Discrete-Time Neural-Network Systems
Zhang, Yanjun1,2; Tao, Gang3; Chen, Mou4; Chen, Wen5; Zhang, Zhengqiang1
2021-12-01
Source PublicationIEEE TRANSACTIONS ON CYBERNETICS
ISSN2168-2267
Volume51Issue:12Pages:5728-5739
AbstractThis article proposes a new implicit function-based adaptive control scheme for the discrete-time neural-network systems in a general noncanonical form. Feedback linearization for such systems leads to the output dynamics nonlinear dependence on the system states, the control input, and uncertain parameters, which leads to the nonlinear parametrization problem, the implicit relative degree problem, and the difficulty to specify an analytical adaptive controller. To address these problems, we first develop a new adaptive parameter estimation strategy to deal with all uncertain parameters, especially, those of nonlinearly parameterized forms, in the output dynamics. Then, we construct a key implicit function equation using available signals and parameter estimates. By solving the equation, a unique adaptive control law is derived to ensure asymptotic output tracking and closed-loop stability. Alternatively, we design an iterative solution-based adaptive control law which is easy to implement and ensure output tracking and closed-loop stability. The simulation study is given to demonstrate the design procedure and verify the effectiveness of the proposed adaptive control scheme.
KeywordAdaptive control Uncertainty Nonlinear systems Adaptation models Asymptotic stability Stability analysis Adaptive control asymptotic output tracking discrete time (DT) implicit function noncanonical form
DOI10.1109/TCYB.2019.2958844
Indexed BySCI
Language英语
Funding ProjectNational 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[61873330] ; National Natural Science Foundation of China[61877057] ; Taishan Scholarship Project of Shandong Province[tsqn20161032]
WOS Research AreaAutomation & Control Systems ; Computer Science
WOS SubjectAutomation & Control Systems ; Computer Science, Artificial Intelligence ; Computer Science, Cybernetics
WOS IDWOS:000733232400012
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/59785
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZhang, Zhengqiang
Affiliation1.Qufu Normal Univ, Sch Engn, Qufu 273165, Shandong, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
3.Univ Virginia, Dept Elect & Comp Engn, Charlottesville, VA 22903 USA
4.Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 210016, Peoples R China
5.Wayne State Univ, Div Engn Technol, Detroit, MI 48201 USA
Recommended Citation
GB/T 7714
Zhang, Yanjun,Tao, Gang,Chen, Mou,et al. An Implicit Function-Based Adaptive Control Scheme for Noncanonical-Form Discrete-Time Neural-Network Systems[J]. IEEE TRANSACTIONS ON CYBERNETICS,2021,51(12):5728-5739.
APA Zhang, Yanjun,Tao, Gang,Chen, Mou,Chen, Wen,&Zhang, Zhengqiang.(2021).An Implicit Function-Based Adaptive Control Scheme for Noncanonical-Form Discrete-Time Neural-Network Systems.IEEE TRANSACTIONS ON CYBERNETICS,51(12),5728-5739.
MLA Zhang, Yanjun,et al."An Implicit Function-Based Adaptive Control Scheme for Noncanonical-Form Discrete-Time Neural-Network Systems".IEEE TRANSACTIONS ON CYBERNETICS 51.12(2021):5728-5739.
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