Stabilization of time-varying Hamiltonian systems

doi:10.1109/TCST.2006.879979

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	Stabilization of time-varying Hamiltonian systems
	Guo, Yuqian; Cheng, Daizhan
	2006-09-01
发表期刊	IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY
ISSN	1063-6536
卷号	14 期号:5 页码:871-880
摘要	This paper investigates the stabilization problem of time-varying port-controlled Hamiltonian (PCH) systems through energy-shaping. First, the closed-loop form of a time-varying PCH system (with certain feedback) is embedded into an extended system. Then by restricting the extended system to its invariant Casimir manifold, the energy function (Hamiltonian) of the original PCH system could be shaped as a candidate of Lyapunov function. Then the stabilization problem is considered by using the shaped Hamiltonian function. When the system has unknown parameters, the adaptive stabilization is considered, and the above stabilization result is used to construct an adaptive stabilizer. Finally, the method developed is used to power systems with periodic disturbances.
关键词	adaptive stabilizer Casimir function energy-shaping Hamiltonian system stabilization
DOI	10.1109/TCST.2006.879979
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000239709600007
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2953
专题	中国科学院数学与系统科学研究院
通讯作者	Guo, Yuqian
作者单位	Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Guo, Yuqian,Cheng, Daizhan. Stabilization of time-varying Hamiltonian systems[J]. IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY,2006,14(5):871-880.
APA	Guo, Yuqian,&Cheng, Daizhan.(2006).Stabilization of time-varying Hamiltonian systems.IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY,14(5),871-880.
MLA	Guo, Yuqian,et al."Stabilization of time-varying Hamiltonian systems".IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY 14.5(2006):871-880.