Indirect model reference adaptive control for a class of fractional order systems

doi:10.1016/j.cnsns.2016.03.016

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	Indirect model reference adaptive control for a class of fractional order systems
	Chen, Yuquan 1; Wei, Yiheng 1; Liang, Shu 2; Wang, Yong 1
	2016-10-01
发表期刊	COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
ISSN	1007-5704
卷号	39 页码:458-471
摘要	This 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.
关键词	Fractional order systems Indirect model reference adaptive control Constrained gradient estimation method Indirect Lyapunov method Frequency distributed model
DOI	10.1016/j.cnsns.2016.03.016
语种	英语
资助项目	National Natural Science Foundation of China[61573332] ; Fundamental Research Funds for the Central Universities[WK2100100028]
WOS研究方向	Mathematics ; Mechanics ; Physics
WOS类目	Mathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical
WOS记录号	WOS:000375933800035
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22746
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Yong
作者单位	1.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
推荐引用方式 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.