非线性哈密顿控制系统输出反馈同时镇定(英文)

非线性哈密顿控制系统输出反馈同时镇定(英文)

Simultaneous stabilization of nonlinear portcontrolled Hamiltonian systems via output feedback

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山东大学学报(工学版)

王玉振1，刘玉常2，冯刚3

1. 山东大学控制科学与工程学院，山东济南 250061； 2. 泰山学院数学与系统科学系，
山东泰安 271021； 3. 香港城市大学机械制造与管理系，香港九龙

收稿日期:2009-03-08 修回日期:1900-01-01 出版日期:2009-04-16 发布日期:2009-04-16
通讯作者: 王玉振

WANG Yuzhen1, LIU Yuchang2, FENG Gang3

1. School of Control Science and Engineering, Shandong University, Jinan 250061, China;
2. Department of Mathematics and System Sciences, Taishan University, Tai’an 271021, China;
3. Department of Manufacturing Engineering and Engineering Management, City University of
Hong Kong, Kowloon Tong, Hong Kong， China

Received:2009-03-08 Revised:1900-01-01 Online:2009-04-16 Published:2009-04-16

摘要：

研究有限多个非线性哈密顿控制系统同时镇定问题，给出了若干输出反馈同时镇定控制器设计新结果.首先，利用哈密顿系统的结构特性和零状态可检测性，得到了一种新的设计方法.然后，研究哈密顿系统中含有外部干扰和结构不确定性的情形，设计了三种同时镇定控制器：一个是鲁棒同时镇定器，一个是自适应同时镇定器，最后一个是鲁棒自适应H∞同时镇定器.例子和仿真研究表明：本文提出的控制器设计方法是行之有效的.

关键词: PCH, 同时镇定, 鲁棒/自适应同时镇定, 输出反馈, 耗散结构, 零状态可检测

Abstract:

The simultaneous stabilization of a finite collection of nonlinear PortControlled Hamiltonian (PCH) systems is investigated in this paper, and a number of new results on the control design are proposed via output feedback. First, using the PCH systems’ structural properties and the systems’ zerostate detectability, a new control design method is developed. Then, in the case of external disturbances and／or parametric uncertainties in the PCH systems three kinds of simultaneous stabilization laws are proposed. The first one is a robust simultaneous stabilizer, the second is an adaptive simultaneous stabilizer, and the last is a robust adaptive H∞ simultaneous stabilizer. Study of an illustrative example with simulations shows that the control design methods obtained in this paper work very well.

Key words: simultaneous stabilization, robust／adaptive simultaneous stabilizer, output feedback, dissipative structure, zerostate detectability

中图分类号:

TP273

王玉振1，刘玉常2，冯刚3. 非线性哈密顿控制系统输出反馈同时镇定(英文)[J]. 山东大学学报(工学版), 2009, 39(2): 52-63.

WANG Yuzhen1, LIU Yuchang2, FENG Gang3. Simultaneous stabilization of nonlinear portcontrolled Hamiltonian systems via output feedback[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(2): 52-63.

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