| 引用本文: | 王银河,韩东方.一类双输入非线性系统的二维平面形状合同控制器设计[J].控制理论与应用,2008,25(5):959~961.[点击复制] |
| WANG Yin-he,HAN Dong-fang.Two-dimensional planar shape congruence control design for a class of nonlinear systems with two inputs[J].Control Theory and Technology,2008,25(5):959~961.[点击复制] |
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| 一类双输入非线性系统的二维平面形状合同控制器设计 |
| Two-dimensional planar shape congruence control design for a class of nonlinear systems with two inputs |
| 摘要点击 1139 全文点击 113 投稿时间：2007-01-02 修订日期：2007-10-30 |
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| DOI编号 10.7641/j.issn.1000-8152.2008.5.034 |
| 2008,25(5):959-961 |
| 中文关键词 非线性系统 形状变量 被控形状轨迹曲线 形状合同控制器 |
| 英文关键词 nonlinear system shape variable shape trace curve controlled shape congruence controller |
| 基金项目 广东省自然科学基金资助项目(8151009001000061); 省团队基金资助项目(8351009001000002); 国家自然科学基金资助项目(60604006). |
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| 中文摘要 |
| 针对一般控制系统, 利用微分几何中的曲线理论提出了形状变量、被控形状轨迹曲线和形状合同控制等概念. 然后, 针对一类具有双输入及二维形状变量的非线性系统, 利用相对曲率概念和曲线论基本定理设计了二维平面形状合同控制器, 这种形状合同控制器能够保证系统的被控形状轨迹曲线与参考轨迹曲线具有完全相同的形状.最后的仿真说明了所采用方法的有效性. |
| 英文摘要 |
| Based on the curve theory in differential geometry, we introduce for general control systems the concepts of shape variable, the controlled shape-trace curve and the shape congruence control. By employing the signed curvature, we design a two-dimensional planar shape congruence controller for a class of nonlinear systems with binary input and binary shape variables. This controller ensures the shape of the controlled shape-trace curve to be the same as the shape of the reference trace curve. Simulation results show the validity of the method. |