Canonical transformation and stabilization of generalized Hamiltonian systems

被引：189

作者：

Fujimoto, K ^{[1
]}

Sugie, T ^{[1
]}

机构：

[1] Kyoto Univ, Grad Sch Informat, Dept Syst Sci, Kyoto 6110011, Japan

来源：

SYSTEMS & CONTROL LETTERS | 2001年 / 42卷 / 03期

关键词：

nonlinear control systems; mechanical systems; physical models; passive compensation;

D O I：

10.1016/S0167-6911(00)00091-8

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 introduces generalized canonical transformations for generalized Hamiltonian systems which convert a generalized Hamiltonian system into another one, and preserve the generalized Hamiltonian structure of the original. As in classical mechanics, it is expected that canonical transformations will provide new insights and fundamental tools for both analysis and synthesis of those systems. Firstly, the class of generalized canonical transformations and some of their properties are indicated. Secondly, it is shown how to stabilize the generalized Hamiltonian systems using canonical transformations. Tn addition, some examples illustrate how such transformations are utilized for control systems design. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：217 / 227

页数：11

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