| 一类高阶次随机非线性系统的状态反馈镇定 |
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| 引用本文： | 段纳,解学军,张嗣瀛.一类高阶次随机非线性系统的状态反馈镇定[J].控制与决策,2008,23(1):60-64. |
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| 作者姓名： | 段纳 解学军 张嗣瀛 |
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| 作者单位： | 曲阜师范大学,自动化研究所,山东,曲阜,273165;徐州师范大学,电气工程及自动化学院,江苏,徐州,221116;东北大学,信息科学与工程学院,沈阳,110004 |
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| 基金项目： | 教育部跨世纪优秀人才培养计划，国家自然科学基金，江苏省高校自然科学基金 |
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| 摘 要： | 针对一类高阶次随机非线性系统,研究其状态反馈镇定问题.基于最近发展起来的增加幂次积分器技术,通过适当地选取Lyapunov函数和设计参数,给出了一个光滑的状态反馈反推控制器的设计过程,所设计的控制器保证了闭环系统在原点处的平衡点是概率意义下全局渐近稳定的.
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| 关 键 词： | 高阶次随机非线性系统 状态反馈 镇定 反推 概率意义下全局渐近稳定 |
| 文章编号： | 1001-0920（2008）01-0060-05 |
| 收稿时间： | 2006-08-30 |
| 修稿时间： | 2006-11-20 |
State-feedback stabilization for a class of high-order stochastic nonlinear system |
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| DUAN Na,XIE Xue-jun,ZHANG Si-ying.State-feedback stabilization for a class of high-order stochastic nonlinear system[J].Control and Decision,2008,23(1):60-64. |
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| Authors: | DUAN Na XIE Xue-jun ZHANG Si-ying |
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| Affiliation: | DUAN Na1,2,XIE Xue-jun1,ZHANG Si-ying3(1.Institute of Automation,Qufu Normal University,Qufu 273165,China,2.School of Electrical Engineering & Automation,Xuzhou Normal University,Xuzhou 221116,3.College of Information Science , Engineering,Northeastern University,Shenyang 110004,China.) |
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| Abstract: | For a class of high-order stochastic nonlinear systems, the problem of state-feedback stabilization is studied. Based on the adding a power integrator technique developed recently, by appropriately choosing Lyapunov functions and design parameters, a design procedure of smooth state-feedback backstepping controller is presented to guarantee that the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability. |
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| Keywords: | High-order stochastic nonlinear systems State-feedback Stabilization Backstepping Globally asymptotically stable in probability |
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