| 一类非线性时滞系统通过自适应Backstepping的控制 |
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| 引用本文： | 任勤,宋林锋.一类非线性时滞系统通过自适应Backstepping的控制[J].太原理工大学学报,2006,37(6):721-724. |
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| 作者姓名： | 任勤 宋林锋 |
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| 作者单位： | 1. 郑州大学,数学系,河南,郑州,450052
2. 濮阳职业技术学院,数学与信息工程系,安徽,濮阳,457003 |
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| 摘 要： | 考虑了一类非线性时滞系统的自适应控制问题。利用Lyapunov函数和Backstep-ping方法设计了一个自适应状态反馈控制器,利用递归原理同时构造Lyapunov函数和镇定控制器,将复杂的非线性系统分解成不超过系统阶数的子系统,然后为每个子系统设计部分Lyapunov函数和中间虚拟控制量,一直“后推”到整个系统,再考虑自适应非线性时滞系统式(1),最后选取Lyapunov函数式(4)。经过推导,使得由式⑴和式⑸组成的闭环系统是全局稳定的。
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| 关 键 词： | 非线性时滞系统 自适应镇定 Backstepping Lyapunov 函数 |
| 文章编号： | 1007-9432（2006）06-0721-04 |
| 收稿时间： | 2006-06-10 |
| 修稿时间： | 2006年6月10日 |
Adaptive Stabilizability of a Class of Time-delay Nonlinear Systems |
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| REN Qin,SONG Lin-feng.Adaptive Stabilizability of a Class of Time-delay Nonlinear Systems[J].Journal of Taiyuan University of Technology,2006,37(6):721-724. |
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| Authors: | REN Qin SONG Lin-feng |
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| Institution: | 1. Dept. of Math Zhengzhou University, Zhengzhou Henan 450052, China ; 2. Dept. of Math. and Informational Engineering, Puyang Vocational Technical College, Puyang Anhui 457003, China |
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| Abstract: | In this paper,considering adaptive stabilization of a class of time-deley nonlinear systems,and by lyapunov function and Backstepping method,we design a adaptive stabilization controller.Namely by recurrence principle,and at the same time by construction of lyapunov function at the stabilizing controller,we decompose the complicated nonlinear system into the branch system not beyond the systematic ranks.Then partial lyapunov function and the middle fictious controlling scale will be designed for every branch system,and also it will pushed backwards to the whole system.Later,we consider adaptive nonlinear system(1),and choose lyapunov function(4).After calculation,make the closed system from(1) to(5) globally stable. |
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| Keywords: | time-tdelay nonlinear system adaptive stabilization backstepping Lyapunov function |
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