| 一类大规模随机非线性系统的适应镇定 |
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| 引用本文： | 刘海军,慕小武,李清善. 一类大规模随机非线性系统的适应镇定[J]. 广西师范大学学报(自然科学版), 2007, 25(1): 21-25 |
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| 作者姓名： | 刘海军 慕小武 李清善 |
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| 作者单位： | 郑州大学,数学系,河南,郑州,450052;郑州大学,数学系,河南,郑州,450052;郑州大学,数学系,河南,郑州,450052 |
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| 摘 要： | 讨论一类大规模随机非线性系统的适应镇定问题。采用Lyapunov和Backstepping方法设计了自适应的状态反馈控制器使得闭环系统是以概率稳定的,且使系统的状态以概率收敛为0;进一步,给出一个仿真算例说明方法的有效性。
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| 关 键 词： | 随机大系统 非线性系统 自适应镇定 Backstepping |
| 文章编号： | 1001-6600（2007）01-0021-05 |
| 收稿时间： | 2006-07-20 |
| 修稿时间： | 2006-07-20 |
Adaptive Stabilization for a Class of Large-scale Stochastic Nonlinear Systems with Decentralized Controller Design |
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| LIU Hai-jun,MU Xiao-wu,LI Qing-shan. Adaptive Stabilization for a Class of Large-scale Stochastic Nonlinear Systems with Decentralized Controller Design[J]. Journal of Guangxi Normal University(Natural Science Edition), 2007, 25(1): 21-25 |
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| Authors: | LIU Hai-jun MU Xiao-wu LI Qing-shan |
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| Affiliation: | Department of Mathematics,Zhengzhou University,Zhengzhou,450052,China;Department of Mathematics,Zhengzhou University,Zhengzhou,450052,China;Department of Mathematics,Zhengzhou University,Zhengzhou,450052,China |
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| Abstract: | In this paper,a stabilizing and adaptive state feedback controller for a class of large-scale stochastic nonlinear systems are designed with Lyapunov and Backstepping methods.The given controller,besides global stability in probability,guarantees regulation of the state of the plant to zero with probability one.And it is adaptive for the unknown parameter.Furthermore,a second order example is delivered to illustrate the approach. |
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| Keywords: | large-scale systems stochastic nonlinear system adaptive stabilization Backstepping |
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