Simultaneous stabilization of a set of nonlinear port-controlled Hamiltonian systems

被引：91
|
作者：
Wang, Yuzhen [1 ]
Feng, Gang
Cheng, Daizhan
机构：
[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China
[2] City Univ Hong Kong, Dept Mfg Engn & Engn Management, Hong Kong, Hong Kong, Peoples R China
[3] Chinese Acad Sci, AMSS, Inst Syst Sci, Beijing 100080, Peoples R China
来源：
AUTOMATICA | 2007年 / 43卷 / 03期
基金：
中国国家自然科学基金;
关键词：
PCH system; simultaneous stabilization; augmented PCH structure; zero-state detectability; L-2 disturbance attenuation; adaptive/robust simultaneous stabilization controller;
D O I：
10.1016/j.automatica.2006.09.008
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates simultaneous stabilization of a set of nonlinear port-controlled Hamiltonian (PCH) systems and proposes a number of results on the design of simultaneous stabilization controllers for the PCH systems. Firstly, the case of two PCH systems is studied. Using the dissipative Hamiltonian structural properties, the two systems are combined to generate an augmented PCH system, with which some results on the control design are then obtained. For the case that there exist parametric uncertainties in the two systems' Hamiltonian structures, an adaptive simultaneous stabilization controller is proposed. When there are external disturbances and parametric uncertainties in the two systems, two simultaneous stabilization controllers are designed for the systems: one is a robust controller and the other is a robust adaptive one. Secondly, the case of more than two PCH systems is investigated, and a new result is proposed for the simultaneous stabilization of the systems. Finally, two illustrative examples are studied by using the results proposed in this paper. Simulations show that the simultaneous stabilization controllers obtained in this paper work very well. (C) 2007 Elsevier Ltd. All rights reserved.
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页码：403 / 415
页数：13
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