| 随机非线性系统的输出反馈控制 |
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| 引用本文： | 段 纳,解学军.随机非线性系统的输出反馈控制[J].控制理论与应用,2009,26(2):193-196. |
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| 作者姓名： | 段 纳 解学军 |
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| 作者单位： | 1. 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
2. 曲阜师范大学,自动化研究所,山东,曲阜,273165 |
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| 基金项目： | 教育部新世纪优秀人才支持计划资助项目(NCET–05–0607); 国家自然科学基金资助项目(60774010); 徐州师范大学 自然科学基金资助项目(08XLB20). |
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| 摘 要： | 针对满足线性增长条件的一类随机非线性系统, 本文研究了输出反馈镇定问题. 然而不同于现有的所有文献, 由于线性增长条件中含有不可量测的状态, 引入了一个待定的高增益观测器. 利用反推设计技术, 构造性地给出了一个输出反馈控制器的设计, 通过适当地选取高增益参数, 保证了闭环系统的零解是概率意义下全局渐近稳定的, 输出几乎处处调节于零.
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| 关 键 词： | 随机非线性系统 输出反馈 线性增长条件 反推 概率意义下全局渐近稳定 |
| 收稿时间： | 1/3/2007 12:00:00 AM |
| 修稿时间： | 2008/3/11 0:00:00 |
Output-feedback control for stochastic nonlinear systems |
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| DUAN Na and XIE Xue-jun.Output-feedback control for stochastic nonlinear systems[J].Control Theory & Applications,2009,26(2):193-196. |
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| Authors: | DUAN Na and XIE Xue-jun |
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| Affiliation: | Institute of Automation, Qufu Normal University, Qufu Shandong 273165, China; School of Electrical Engineering & Automation, Xuzhou Normal University, Xuzhou Jiangsu 221116, China;Institute of Automation, Qufu Normal University, Qufu Shandong 273165, China |
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| Abstract: | For a class of stochastic nonlinear systems satisfying linear growth condition, the paper studies the outputfeedback stabilization problem. Being different from all the existing references, because of the unmeasurable states existing in the linear growth condition, this paper introduces an undetermined high-gain observer. By using the backstepping design technique, we constructively give a design of the output-feedback controller. The high-gain parameter is appropriately chosen to make the zero solution of the closed-loop system globally asymptotically stable in probability, and regulate the
output to the origin almost surely. |
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| Keywords: | stochastic nonlinear systems output-feedback linear growth condition backstepping globally asymptotically stable in probability |
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