| 双线性广义系统稳定性控制分析 |
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| 引用本文： | 张秀华,张庆灵. 双线性广义系统稳定性控制分析[J]. 系统工程学报, 2006, 21(2): 192-195 |
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| 作者姓名： | 张秀华 张庆灵 |
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| 作者单位： | 东北大学理学院系统科学研究所,辽宁,沈阳,110004 |
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| 基金项目： | 辽宁省普通高校学科带头人基金资助项目(124210)，辽宁省科技基金资助项目(2001401041) |
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| 摘 要： | 利用所构造的两种广义Lyapunov函数,在广义系统容许的条件下,分别设计了双线性广义系统的稳定控制,且上面存在的2种控制具有不同的表现形式.同时,考查了控制受上下界约束时,选择适当的控制,使闭环系统全局一致渐近稳定.对单输入的双线性广义系统,探讨出闭环系统在原点附近的一个稳定域.最后,给出了一个实例说明所得到结论的正确性.
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| 关 键 词： | 双线性 广义系统 稳定控制 Lyapunov函数 |
| 文章编号： | 1000-5781（2006）02-0192-04 |
| 收稿时间： | 2004-06-28 |
| 修稿时间： | 2004-06-282004-12-14 |
Analysis of stability control for bilinear singular system |
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| ZHANG Xiu-hua,ZHANG Qing-ling. Analysis of stability control for bilinear singular system[J]. Journal of Systems Engineering, 2006, 21(2): 192-195 |
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| Authors: | ZHANG Xiu-hua ZHANG Qing-ling |
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| Affiliation: | Institute of Systems Science, College of Science, Northeastern University, Shenyang 110004, China |
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| Abstract: | In the paper,under the condition of that a singular system is admissible,stable controls for a bilinear singular system are designed by using two kinds of Lyapunov function respectively,and the two above control display different forms.At the same time,the control restrained by upper and lower bound is examined.Choosing a appropriate control a bilinear singular closed loop system can be globally asymptotically stable.For a single-input bilinear singular system,a stable region of closed loop system around the origin is approached. Finally,an example is given to illustrate the validity of the obtained results. |
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| Keywords: | bilinear singular system stable control Lyapunov function |
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