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| 三阶切换系统的镇定 | |
| 引用本文： | 董亚丽,王威,王彦刚.三阶切换系统的镇定[J].信息与控制,2005,34(4):457-460. |
| 作者姓名： | 董亚丽 王威 王彦刚 |
| 作者单位： | 1. 天津工业大学理学院,天津,300160 2. 信息产业部电子第六研究所,北京,100083 3. 天津工业大学图书馆,天津,300160 |
| 基金项目： | 国家自然科学基金项目(60274020) |
| 摘 要： | 研究了三阶切换系统的镇定问题. 给出三阶线性控制系统，以给定的正定矩阵WTHX]MWTBZ]作为二次李亚普诺夫函数的新的充分条件. 然后, 证明了在适当条件下三阶切换系统是二次可镇定的. 文中设计出镇定三阶切换系统的反馈控制律, 并提出了解决二次镇定问题的直接算法. |
| 关 键 词： | 切换系统 二次镇定 共同二次Lyapunov函数 Brunovskey 标准型 |
| 文章编号： | 1002-0411（2005）04-0457-04 |
| 收稿时间： | 2005-01-12 |
| 修稿时间： | 2005-01-12 |
Stabilization of Third-order Switched Systems |
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| Dong Ya-Li,WANG Wei,WANG Yan-gang.Stabilization of Third-order Switched Systems[J].Information and Control,2005,34(4):457-460. | |
| Authors: | Dong Ya-Li WANG Wei WANG Yan-gang |
| Abstract: | The problem of stabilization of third-order switched systems is considered. A new sufficient condition is presented for the third-order linear control system to share a positive definite matrix as a quadratic Lyapunov function. Then, it is proved that the third-order switched systems are quadratically stabilizable under appropriate conditions. The control laws, which stabilize the switched systems, are designed, and a straightforward computation algorithm for solving the quadratic stabilization problem is presented. |
| Keywords: | switched system quadratic stabilization common quadratic Lyapunov function Brunovskey canonical form |
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