| 引用本文: | 张健,徐红兵,郑宏.一种新的多输入非线性控制系统高阶逼近线性化的计算方法[J].控制理论与应用,2009,26(5):.[点击复制] |
| ZHANG Jian,XU Hong-bing,ZHENG Hong.A new algorithm for computing higher-order approximate linearization of multi-input nonlinear control systems[J].Control Theory and Technology,2009,26(5):.[点击复制] |
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| 一种新的多输入非线性控制系统高阶逼近线性化的计算方法 |
| A new algorithm for computing higher-order approximate linearization of multi-input nonlinear control systems |
| 摘要点击 1612 全文点击 1581 投稿时间：2008-03-25 修订日期：2008-09-01 |
| 查看全文 查看/发表评论 下载PDF阅读器 |
| DOI编号 10.7641/j.issn.1000-8152.2009.5.CCTA080241 |
| 2009,26(5):- |
| 中文关键词 逼近线性化, 多输入, 非线性控制系统 |
| 英文关键词 approximate linearization, muti-input, nonlinear control systems |
| 基金项目 国家自然科学基金 |
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| 中文摘要 |
| 通常，即使对于一个可逼近反馈线性化的非线性系统，求得一
个所需的坐标变换和反馈仍然是困难的，原因在于需要求解一组偏微分
方程. 在本文中, 为了求得逼近反馈线性化所需的非线性反馈及坐标变
换, 我们首先引入了一个扩展的坐标空间, 针对一类线性可控的多输入非
线性系统，推导了系统新的矩阵表达式。基于这些准备，我们提出了一种
新的有效的构造化算法，它降低了计算所需的运算量。最后通过一个例
子我们介绍了本方法的应用. |
| 英文摘要 |
| In practice, it is difficult to obtain a coordinate transformation and feedback to construct linear approximationfor nonlinear systems, even though the systems is approximate feedback linearizable. The reason is that it is necessary to solve a set of partial differential equations. In this paper, we firstly introduce an extended coordinate space and deduce a new matrix presentations for a general form of systems called linearly controllable muti-input nonlinear systems. Based on these preparations, we propose an effective construct algorithm procedure which leads to a computational reduction for obtaining a coordinate transformation and feedback. Finally we illustrate its application with the example of a dynamic feedback linearizablesystem. |