| 非线性控制系统的一般形式及其稳定性(英文) |
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| 作者姓名： | 张利军 程代展 |
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| 作者单位： | 中国科学院系统科学研究所控制开放实验室, 北京 100080 |
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| 摘 要： | 给出了SISO非线控制系统的点相对阶的概念,以此得出一般Brrnes-Isidori标准形式.并对于具有最小相位非线性系统,给出了渐近稳定的充分条件;对于具有非最小相位系统,通过设计控制器来构建中心流形的方法,给出了其渐近稳定性的证明.
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| 关 键 词： | 稳定性 相对阶 Byrnes-Isidori标准形式 零动态 中心流形 |
| 收稿时间： | 2002-05-10 |
General Normal Form and Stabilization of Nonlinear Systems |
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| Authors: | Zhang Lijun Cheng Daizhan |
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| Institution: | Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | A generalized normal form of SISO nonlinear comtrol systems,called the generalized Byrnes-Isidori canonical form,is obtained by proposing a generalized relative degree,namely,the point relative degree.For the systems with minimum phase,a sufficient condition is provided to assure the stabilizability.For the system with non-minimum phase zero dynamics,the center manifold approach is applied.It is shown that the stabilization technique via designed center manifold,is still applicable to this kind of general nonlinear control systems. |
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| Keywords: | stabilization relative degree Byrnes-Isidori normal form zero dynamics center manifold |
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