| 多输入非线性系统的状态反馈线性化 |
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| 引用本文： | 崔平远,薛小平.多输入非线性系统的状态反馈线性化[J].哈尔滨工业大学学报,1993,25(3):84-90. |
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| 作者姓名： | 崔平远 薛小平 |
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| 作者单位： | 哈尔滨工业大学航天工程与力学系，哈尔滨工业大学航天工程与力学系 副教授 |
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| 摘 要： | 采用微分几何方法研究非线性系统的精确线性化问题.文中对多输入非线性系统导出了一套构造微分同胚和反馈变换的新方法,解决了已有方法所存在的可线性化判别条件复杂、验证相应条件十分困难等问题。同时,对于某一多输入非线性动力学模型,给出了采用本文所提方法进行线性化的算例,验证了文中所提方法的有效性和实用性。
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| 关 键 词： | 非线性系统 微分几何 反馈线性化 |
Linearization with State Feedback for Multi-Input Nonlinear System |
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| Cui Pingyuan Xue Xiaoping.Linearization with State Feedback for Multi-Input Nonlinear System[J].Journal of Harbin Institute of Technology,1993,25(3):84-90. |
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| Authors: | Cui Pingyuan Xue Xiaoping |
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| Affiliation: | Dept.of Astronautics and Mechanics |
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| Abstract: | The exact linearization of nonlinear system are investigated by means of thedifferential geometric method.A new method is presented which structuresdiffeomorphism and feedback transformation for multi-input nonlinear system.Themethod avoided the difficulty to verify very complex linearizability conditions in orthermethod.For the multi-input nonlinear dynamic model,a linearization example is pro-vided to illustrate the effectiveness and practicality of the proposed method. |
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| Keywords: | Nonlinear system differential geometry linearization with state feedback |
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