| 具有三阶中心流形的一类非线性系统的镇定 |
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| 引用本文： | 董亚丽,程代展. 具有三阶中心流形的一类非线性系统的镇定[J]. 中国科学院研究生院学报, 2004, 21(1): 1-9 |
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| 作者姓名： | 董亚丽 程代展 |
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| 作者单位： | 1. 中国科学院系统科学研究所,北京,100080;天津工业大学理学院,天津,300160
2. 中国科学院系统科学研究所,北京,100080 |
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| 基金项目： | supportedpartlybyNational973ProjectG19980 2 0 3 0 8andChineseNSFG5 983 72 70 |
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| 摘 要： | 考虑了一类非线性系统的局部镇定问题.首先,利用正则型理论给出一类 3阶非线性系统稳定的充分条件;然后利用得到的结果以及中心流形理论,讨论一类具有特殊形式的 3阶中心流形的非线性系统的镇定问题,并给出中心流形的设计方法以及镇定系统的控制律.
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| 关 键 词： | 非线性系统 镇定 中心流形 正则型 |
Stabilization of a Class of Nonlinear Systems with Third Order Center Manifold |
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| Abstract. Stabilization of a Class of Nonlinear Systems with Third Order Center Manifold[J]. Journal of the Graduate School of the Chinese Academy of Sciences, 2004, 21(1): 1-9 |
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| Authors: | Abstract |
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| Abstract: | Addresses the problem of local stabilization of a class of nonlinear systems. First, using the normal form theory, a set of sufficient conditions for stability of a class of third order nonlinear systems is obtained. Then, using the result obtained and the center manifold theory, the stabilization problem for a class of nonlinear systems with a special form of third order center manifold dynamics is investgated. A technique for designing center manifold is presented, and a control law, which stabilizes the overall system, is designed. |
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| Keywords: | nonlinear systems stabilization center manifold normal form |
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