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On feedback equivalence to port controlled Hamiltonian systems

文献类型：期刊论文

作者Cheng, DZ; Astolfi, A; Ortega, R
刊名SYSTEMS & CONTROL LETTERS
出版日期2005-09-01
卷号54期号:9页码:911-917
关键词Hamiltonian systems linear-gradient systems passivity-based control feedback equivalence
ISSN号0167-6911
DOI10.1016/j.sysconle.2005.02.005
英文摘要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.
WOS研究方向Automation & Control Systems ; Operations Research & Management Science
语种英语
WOS记录号WOS:000230733200009
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/1884]  
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.

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来源：数学与系统科学研究院

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