| 引用本文: | 洪奕光,秦化淑.非线性系统的对称性与线性化[J].控制理论与应用,1994,11(6):743~747.[点击复制] |
| HONG Yiguang and QIN Huashu.Symmetry and Linearization of Nonlinear Control Systems[J].Control Theory and Technology,1994,11(6):743~747.[点击复制] |
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| 非线性系统的对称性与线性化 |
| Symmetry and Linearization of Nonlinear Control Systems |
| 摘要点击 1428 全文点击 491 投稿时间：1992-01-21 修订日期：1994-06-22 |
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| DOI编号 |
| 1994,11(6):743-747 |
| 中文关键词 对称性 相对阶 零动态 反馈线性化 |
| 英文关键词 symmetry relative degree zero-dynamics linearization |
| 基金项目 |
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| 中文摘要 |
| 本文考察具有对称结构的仿射非线性控制系统的零动态与精确线性化之间的关系。结果表明，对一类关于群对称的仿射非线性控制系统，能够得到它的低维零动态，从而在系统研究和设计中便于问题的简化。特别，问题指明了一个有意义的事实：具有关于线性群或自由适当群对称结构的仿射非线性控制系统不能通过状态反馈实现精确线性化。 |
| 英文摘要 |
| The relationship between the zero-dynamics and exact linearization for affine nonlinear systems with symmetric structure is studied in this paper. The results show that it is able to get a lower-dimensional zero-dynamics for a class of group-symmetric affine nonlinear systems. Particularly, the interesting fact in following is obtained: affine nonlinear control systems with some kinds of symmetric structure can not be exactly linearized via state feedback. |