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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
Source PublicationAUTOMATICA
ISSN0005-1098
Volume40Issue:3Pages:439-447
AbstractIn 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.
Keywordlinearization singular state feedback normal form semi-tensor product of matrices
DOI10.1016/j.automatica.2003.10.014
Language英语
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000188924200010
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:38[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19613
Collection系统科学研究所
Affiliation1.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
Recommended Citation
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.
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