Normal form representation of control systems

doi:10.1002/rnc.628

CSpace

	Normal form representation of control systems
	Cheng, DZ ; Martin, CF
	2002-04-30
发表期刊	INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
ISSN	1049-8923
卷号	12 期号:5 页码:409-433
摘要	This paper is to investigate the normal form representation of control systems. First, as numerical tools we develop an algorithm for normal form expression and the matrix representation of the Lie derivative of a linear vector field over homogeneous vector fields. The concept of normal form is modified. Necessary and sufficient conditions for a linear transformation to maintain the Brunowsky canonical form are obtained. It is then shown that the shift term can always be linearized up to any degree. Based on this fact, linearization procedure is proposed and the related algorithms are presented. Least square linear approximations are proposed for non-linearizable systems. Finally, the method is applied to the ball and beam example. The efforts are focused on the numerical and computer realization of linearization process. Copyright (C) 2002 John Wiley Sons, Ltd.
关键词	normal form matrix representation of ad(L) kth degree linearization Brunowsky canonical form least square approximation
DOI	10.1002/rnc.628
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering ; Mathematics
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Applied
WOS记录号	WOS:000175120600002
出版者	WILEY-BLACKWELL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17235
专题	中国科学院数学与系统科学研究院
通讯作者	Martin, CF
作者单位	1.Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA 2.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Cheng, DZ,Martin, CF. Normal form representation of control systems[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2002,12(5):409-433.
APA	Cheng, DZ,&Martin, CF.(2002).Normal form representation of control systems.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,12(5),409-433.
MLA	Cheng, DZ,et al."Normal form representation of control systems".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 12.5(2002):409-433.