| 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 |
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| 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) |
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| 作者姓名： | 张健 徐红兵 郑宏 |
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| 作者单位： | 电子科技大学自动化学院,电子科技大学自动化学院,电子科技大学自动化学院 |
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| 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.
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| 关 键 词： | 逼近线性化 多输入 非线性控制系统 |
| 收稿时间： | 2008-03-25 |
| 修稿时间： | 2008-09-01 |
A new algorithm for computing higher-order approximate linearization of multi-input nonlinear control systems |
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| ZHANG Jian,XU Hong-bing and ZHENG Hong. A new algorithm for computing higher-order approximate linearization of multi-input nonlinear control systems[J]. Control Theory & Applications, 2009, 26(5) |
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| Authors: | ZHANG Jian XU Hong-bing ZHENG Hong |
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| Affiliation: | University of Electronic Science and Technology of China,University of Electronic Science and Technology of China,University of Electronic Science and Technology of China |
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| Abstract: | 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. |
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| Keywords: | approximate linearization muti-input nonlinear control systems |
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