| 仿射非线性控制系统基于精确线性化下的多重子空间迭代解法 |
| |
| 引用本文： | 徐自祥,周德云,邓子辰.仿射非线性控制系统基于精确线性化下的多重子空间迭代解法[J].应用数学和力学,2006,27(12):1457-1463. |
| |
| 作者姓名： | 徐自祥 周德云 邓子辰 |
| |
| 作者单位： | 西北工业大学 电子信息学院,西安 710072;2.西北工业大学 工程力学系,西安 710072 |
| |
| 基金项目： | 航空基础科学基金;国防预研基金 |
| |
| 摘 要： | 研究仿射非线性控制系统的最优控制问题．基于微分几何理论，在反馈精确线性化后，利用计算结构力学与最优控制之间模拟关系，沿用多重子结构法来解决线性化后的最优控制问题，最终实现对原非线性系统的求解．相比于经典的Taylor展开线性化方法，减小了误差会随使用区域的扩大而扩大的弊端．
|
| 关 键 词： | 仿射非线性系统 精确线性化 多重子结构 最优控制 |
| 文章编号： | 1000-0887（2006）12-1457-07 |
| 收稿时间： | 2004-11-23 |
| 修稿时间： | 2006-07-05 |
Exact Linearization Based Multiple-Subspace Iterative Resolution to Affine Nonlinear Control System |
| |
| XU Zi-xiang,ZHOU De-yun,DENG Zi-chen.Exact Linearization Based Multiple-Subspace Iterative Resolution to Affine Nonlinear Control System[J].Applied Mathematics and Mechanics,2006,27(12):1457-1463. |
| |
| Authors: | XU Zi-xiang ZHOU De-yun DENG Zi-chen |
| |
| Institution: | School of Electronics and Information, Northwestern Politechnical University, Xi'an 710072, P. R. China; |
| |
| Abstract: | To the optimal control problem of affme nonlinear system, based on differential geometry theory, feedback precise linearization was used. Then starting from the simulative relationship between computational structural mechanics and optimal control,multiple-substructure method was induced to solve the optimal control problem which was linerized. And finally the solution to the original nonlinear system was found. Compared with the classical lineational method of Taylor expansion, this one diminishes the abuse of error expansion with the enlargement of used region. |
| |
| Keywords: | affine nonlinear system precise linearization multiple-substructure optimal control |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学》下载免费的PDF全文 |
