On feedback equivalence to port controlled Hamiltonian systems

doi:10.1016/j.sysconle.2005.02.005

CSpace

	On feedback equivalence to port controlled Hamiltonian systems
	Cheng, DZ ; Astolfi, A ; Ortega, R
	2005-09-01
发表期刊	SYSTEMS & CONTROL LETTERS
ISSN	0167-6911
卷号	54 期号:9 页码:911-917
摘要	In the last few years port controlled Hamiltonian (PCH) systems have emerged as an interesting class of nonlinear models suitable for a large number of physical applications. In this paper we study the question of feedback equivalence of nonlinear systems to PCH systems. More precisely, we give conditions under which a general nonlinear system can be transformed into a PCH system via static state feedback. We consider the two extreme cases where the target PCH system is completely a priori fixed or completely free, as well as the case where it is only partially predetermined. When the energy function is free a set of partial differential equations needs to be solved, on the other hand, if it is fixed we have to deal with a set of algebraic equations. In the former case, we give some verifiable necessary and sufficient conditions for solvability. As a by-product of our analysis we obtain some stabilization results for nonlinear systems. (c) 2005 Elsevier B.V. All rights reserved.
关键词	Hamiltonian systems linear-gradient systems passivity-based control feedback equivalence
DOI	10.1016/j.sysconle.2005.02.005
语种	英语
WOS研究方向	Automation & Control Systems ; Operations Research & Management Science
WOS类目	Automation & Control Systems ; Operations Research & Management Science
WOS记录号	WOS:000230733200009
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1885
专题	中国科学院数学与系统科学研究院
通讯作者	Ortega, R
作者单位	1.CNRS, Supelec, Lab Signaux & Syst, F-91192 Gif Sur Yvette, France 2.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China 3.Univ London Imperial Coll Sci Technol & Med, Dept Elect Engn, London SW7 2BT, England
推荐引用方式 GB/T 7714	Cheng, DZ,Astolfi, A,Ortega, R. On feedback equivalence to port controlled Hamiltonian systems[J]. SYSTEMS & CONTROL LETTERS,2005,54(9):911-917.
APA	Cheng, DZ,Astolfi, A,&Ortega, R.(2005).On feedback equivalence to port controlled Hamiltonian systems.SYSTEMS & CONTROL LETTERS,54(9),911-917.
MLA	Cheng, DZ,et al."On feedback equivalence to port controlled Hamiltonian systems".SYSTEMS & CONTROL LETTERS 54.9(2005):911-917.