Generalized normal form and stabilization of non-linear systems

doi:10.1080/0020717031000067376

CSpace

	Generalized normal form and stabilization of non-linear systems
	Cheng, DZ; Zhang, LJ
	2003
发表期刊	INTERNATIONAL JOURNAL OF CONTROL
ISSN	0020-7179
卷号	76 期号:2 页码:116-128
摘要	This paper considers the normal form of non-linear control systems. First we propose a generalized relative degree (relative degree vector) for non-linear single (respectively, multiple) input control system, which is called the point relative degree (respectively, point relative degree vector). For the systems without output, the concepts of essential relative degree (respectively, essential relative degree vector) and the essential point relative degree (respectively, essential point relative degree vector) are defined. Unlike the classical definition which requires regularity, the point relative degree (vector) is always well defined. Using these new concepts the generalized normal form is obtained. Its relationship with the Jacobian linearization is investigated. Using it, a straightforward computation algorithm is provided to achieve the generalized normal form. Based on the generalized normal form we prove that with an additional condition, if the zero-dynamics is stable the overall system is stabilizable by using pseudo-linear state feedback control. For the systems under generalized normal form with unstable zero dynamics, the centre manifold approach is applied. It is shown that the stabilization technique via a designed centre manifold is still applicable to this kind of general non-linear control system.
DOI	10.1080/0020717031000067376
语种	英语
WOS研究方向	Automation & Control Systems
WOS类目	Automation & Control Systems
WOS记录号	WOS:000181145800003
出版者	TAYLOR & FRANCIS 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/18332
专题	中国科学院数学与系统科学研究院
通讯作者	Cheng, DZ
作者单位	Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Cheng, DZ,Zhang, LJ. Generalized normal form and stabilization of non-linear systems[J]. INTERNATIONAL JOURNAL OF CONTROL,2003,76(2):116-128.
APA	Cheng, DZ,&Zhang, LJ.(2003).Generalized normal form and stabilization of non-linear systems.INTERNATIONAL JOURNAL OF CONTROL,76(2),116-128.
MLA	Cheng, DZ,et al."Generalized normal form and stabilization of non-linear systems".INTERNATIONAL JOURNAL OF CONTROL 76.2(2003):116-128.