| 随机系统的反馈镇定设计 |
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| 引用本文： | 张云贞,刘玉晓,周书克,刘雅妹. 随机系统的反馈镇定设计[J]. 河南科学, 2012, 30(5): 548-551 |
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| 作者姓名： | 张云贞 刘玉晓 周书克 刘雅妹 |
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| 作者单位： | 1. 中南民族大学数学与统计学学院,武汉,430074
2. 河南城建学院,河南平顶山,467000 |
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| 摘 要： | 众所周知,稳定性问题是研究各类动态系统的最基本,也是最重要的问题之一.稳定性理论已经积累了十分丰富的成果,考虑将Backstepping递归设计应用到随机系统,通过对一个高阶随机系统的设计分成对一系列低阶随机系统的设计问题,构造具体的Lyapunov函数,从而得到合适的状态反馈控制器,进而达到系统的渐近稳定性.并给出具体实例来说明随机系统的反馈镇定设计的应用.
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| 关 键 词： | Backstepping 渐进稳定 Lyapunov函数 镇定控制 |
Backstepping of Stochastic System Design |
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| Zhang Yunzhen , Liu Yuxiao , Zhou Shuke , Liu Yamei. Backstepping of Stochastic System Design[J]. Henan Science, 2012, 30(5): 548-551 |
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| Authors: | Zhang Yunzhen Liu Yuxiao Zhou Shuke Liu Yamei |
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| Affiliation: | 1.School of Mathematics and Statics,South-Central University for Nationalities,Wuhan 430074,China; 2.School of Mathematics and Physics,Henan Institute of Urban Construction,Pingdingshan 467000,Henan China) |
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| Abstract: | As we all know,stability is the most basic study on all kinds of dynamic systems,and it is also one of the most important issues.Stability has accumulated a great wealth of results,this article only considers the Backstepping design applied to stochastic system.Through the design of a higher order stochastic system divided into a series of low-order stochastic systems design problem,a Lyapunov function to concrete,resulting in the appropriate State-feedback controller were constructed,thus improve the asymptotic stability of the system.At last,concrete example to illustrate the theorems were given. |
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| Keywords: | Backstepping asymptotic stability Lyapunov function stabilization control |
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