Implicit function based adaptive control of non-canonical form discrete-time nonlinear systems

doi:10.1016/j.automatica.2021.109629

	Implicit function based adaptive control of non-canonical form discrete-time nonlinear systems
	Zhang, Yanjun 2,3; Zhang, Ji-Feng 2,3; Liu, Xiao-Kang 1
刊名	AUTOMATICA
	2021-07-01
卷号	129 页码:13
关键词	Adaptive control Implicit function Non-canonical form Parametrization Output tracking
ISSN号	0005-1098
DOI	10.1016/j.automatica.2021.109629
英文摘要	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.
资助项目	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研究方向	Automation & Control Systems ; Engineering
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000655690000009
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58803]
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.Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100149, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式 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.