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Indirect model reference adaptive control for a class of fractional order systems
Chen, Yuquan1; Wei, Yiheng1; Liang, Shu2; Wang, Yong1
2016-10-01
Source PublicationCOMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
ISSN1007-5704
Volume39Pages:458-471
AbstractThis article focuses on the indirect model reference adaptive control problem for fractional order systems. A constrained gradient estimation method was established firstly, since parameter estimation is part and parcel of the whole control problem. Then a novel adaptive control law is designed, from which the two problems, i.e., parameter estimation and reference tracking, can be unified perfectly. On these basis, an effective control scheme is established. The stability of the resulting closed-loop system is analyzed rigorously via indirect Lyapunov method and frequency distributed model. Finally, a careful simulation study is reported to illustrate the effectiveness of the proposed scheme. (C) 2016 Elsevier B.V. All rights reserved.
KeywordFractional order systems Indirect model reference adaptive control Constrained gradient estimation method Indirect Lyapunov method Frequency distributed model
DOI10.1016/j.cnsns.2016.03.016
Language英语
Funding ProjectNational Natural Science Foundation of China[61573332] ; Fundamental Research Funds for the Central Universities[WK2100100028]
WOS Research AreaMathematics ; Mechanics ; Physics
WOS SubjectMathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical
WOS IDWOS:000375933800035
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:33[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22746
Collection中国科学院数学与系统科学研究院
Affiliation1.Univ Sci & Technol China, Dept Automat, Hefei 230026, Peoples R China
2.Chinese Acad Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Chen, Yuquan,Wei, Yiheng,Liang, Shu,et al. Indirect model reference adaptive control for a class of fractional order systems[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2016,39:458-471.
APA Chen, Yuquan,Wei, Yiheng,Liang, Shu,&Wang, Yong.(2016).Indirect model reference adaptive control for a class of fractional order systems.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,39,458-471.
MLA Chen, Yuquan,et al."Indirect model reference adaptive control for a class of fractional order systems".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 39(2016):458-471.
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