一类线性化不可控非线性系统的镇定问题 |
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引用本文: | 武利强,崔红新.一类线性化不可控非线性系统的镇定问题[J].郑州大学学报(理学版),2001,33(1):19-22. |
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作者姓名: | 武利强 崔红新 |
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作者单位: | 郑州大学系统科学与数学系 郑州 450052 |
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摘 要: | 讨论一类局部线性化不可控模态对应为零根的非线性系统,并由中心流形和规范形方法,在所给结果的基础上,直接从已给方程的系数与偏导数之间的关系设计出反馈控制律,从而使原系统局部渐进稳定.
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关 键 词: | 可控 不可控 中心流形 规范形 镇定 |
文章编号: | 1001-8212(2001)01-0019-04 |
修稿时间: | 2000年11月1日 |
Stabilization of a Class of Nonlinear Systems
with Uncontrollable Linearization |
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Abstract: | A class of nonlinear systems whose linearizations containuncontrollable modes having only zero engivalues is discussed. By center mainfold theory and normal forms, a methodology of designing a feedback controller is presented, which guarantees the original system locally asymptotically stable, directly from the relation between the coefficients and the values of the partial derivatives of the equation, based on the given results. |
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Keywords: | controllable uncontrollable center manifold normal forms stabilization |
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