| 一般非线性系统的零动态、正则标准形与局部反馈渐近镇定 |
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| 引用本文： | 佘焱,张嗣瀛. 一般非线性系统的零动态、正则标准形与局部反馈渐近镇定[J]. 自动化学报, 1998, 24(6): 820-824 |
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| 作者姓名： | 佘焱 张嗣瀛 |
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| 作者单位： | 1.上海交通大学信息与控制工程系,上海; |
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| 基金项目： | 国家自然科学基金,中国博士后科学基金,辽宁省科学技术基金 |
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| 摘 要： | 研究了一般非线性系统的零动态算法,得到了应用广泛的正则标准形,只需对系统做较弱的正则性假设,即平衡点附近某些分布是非奇异的.同时讨论了该标准形在局部反馈渐近镇定中的应用,该结果适用于解决局部反馈渐近镇定的临界问题.仿射非线性系统的结果成为该文结果的特例.
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| 关 键 词： | 非线性系统 零动态 标准形 局部反馈渐近镇定 |
| 收稿时间： | 1996-11-12 |
The Zero Dynamics,Norm Form and Local Feedback Asymptotic Stabilization for General Nonlinear Control Systems |
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| SHE YAN,ZHANG SIYING. The Zero Dynamics,Norm Form and Local Feedback Asymptotic Stabilization for General Nonlinear Control Systems[J]. Acta Automatica Sinica, 1998, 24(6): 820-824 |
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| Authors: | SHE YAN ZHANG SIYING |
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| Affiliation: | 1.Dept.of Infor.&Contr,Shanghai Jiaotong University,Shanghai;Dept.of Auto.Contr.,Northeastern University,Shenyang |
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| Abstract: | Zero dynamics algorithm for general nolinear control systems is proposed, in whichwe need only very mild ragularity assumptions, namly, the constancy of the dimensions ofcertain distributions (and/or of the ranks of certain mappings) around a given point. Fromthe zero dynamics algorithm the norm form for general nolinear control systems is presented,which is extension of the affine nonlinear systems. Last, we study one of the applications ofthe norm form to the problem of local feedback asymptotic stabilization. This result does notrequire asymptotic stability in the first approximation for the zero dynamics, so that it may beuseful in order to solve critical problems of local feedback asymptotic stabilization. |
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| Keywords: | Nonlinear systems zero dynamics norm form local asymptotic stabilization |
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