Non-regular feedback linearization of nonlinear systems via a normal form algorithm

doi:10.1016/j.automatica.2003.10.014

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	Non-regular feedback linearization of nonlinear systems via a normal form algorithm
	Cheng, DZ; Hu, XM ; Wang, YZ
	2004-03-01
发表期刊	AUTOMATICA
ISSN	0005-1098
卷号	40 期号:3 页码:439-447
摘要	In this paper, the problem of non-regular static state feedback linearization of affine nonlinear systems is considered. First of all, a new canonical form for non-regular feedback linear systems is proposed. Using this form, a recursive algorithm is presented, which yields a condition for single input linearization. Then the left semi-tensor product of matrices is introduced and several new properties are developed. Using the recursive framework and new matrix product, a formula is presented for normal form algorithm. Based on it, a set of conditions for single-input (approximate) linearizability is presented. (C) 2003 Elsevier Ltd. All rights reserved.
关键词	linearization singular state feedback normal form semi-tensor product of matrices
DOI	10.1016/j.automatica.2003.10.014
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000188924200010
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19613
专题	系统科学研究所
通讯作者	Cheng, DZ
作者单位	1.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Royal Inst Technol, Optimizat & Syst Theory, Stockholm, Sweden 3.Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China
推荐引用方式 GB/T 7714	Cheng, DZ,Hu, XM,Wang, YZ. Non-regular feedback linearization of nonlinear systems via a normal form algorithm[J]. AUTOMATICA,2004,40(3):439-447.
APA	Cheng, DZ,Hu, XM,&Wang, YZ.(2004).Non-regular feedback linearization of nonlinear systems via a normal form algorithm.AUTOMATICA,40(3),439-447.
MLA	Cheng, DZ,et al."Non-regular feedback linearization of nonlinear systems via a normal form algorithm".AUTOMATICA 40.3(2004):439-447.