[1]石啊莲,任舒翼.一类具有未建模动态的非线性系统的稳定性研究[J].延边大学学报(自然科学版),2015,41(02):116-123.
　SHI Alian,REN Shuyi.Stability of a class of nonlinear systems with unmodelled dynamics[J].Journal of Yanbian University,2015,41(02):116-123.
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一类具有未建模动态的非线性系统的稳定性研究

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 第41卷 期数: 2015年02期 页码: 116-123 栏目: 基础科学研究 出版日期: 2015-05-30
Title:
Stability of a class of nonlinear systems with unmodelled dynamics
作者:
石啊莲1;  任舒翼2
1.齐鲁师范学院 数学学院, 山东 济南 250013; 2.山东广播电视大学 公共基础教学部, 山东 济南 250014
Author(s):
SHI Alian1;  REN Shuyi2
1.Department of Mathematics, Qilu Normal Institute, Jinan 250013, China; 2.Department of Public Basic Teaching of Shandong TV University, Jinan 250014, China
关键词:
非线性系统;  未建模动态;  Backstepping方法;  自适应控制
Keywords:
nonlinear system;  dynamics uncertainties;  Backstepping;  adaptive control
分类号:
O231.2
文献标志码:
A
摘要:
研究了一类具有未建模动态的非线性系统的稳定性问题.针对系统的不确定性,首先设计一状态观测器,对系统的全部状态进行估计; 然后基于Lyapunov稳定性理论,采用Backstepping方法设计了输出反馈自适应控制器; 最后证明了控制器在原点处平衡,可使系统的信号一致有界或者渐近收敛,且仿真举例验证了本文方法的有效性.
Abstract:
We studiy the stability of a class of nonlinear systems with unmodelled dynamics. In view of uncertainty of the system, a state observer is introduced firstly to estimate all the states of the system; then based on the Lyapunov stability theory, the output-feedback adaptive controller is designed by using the backstepping method. Furthermore, we prove that the controller keeps equilibrium at origin. It can make all signals of the system are uniformly bounded or asymptotic convergence. An illustrative example is proposed to verify its effectiveness.

参考文献/References:

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备注/Memo

收稿日期: 2015-05-24作者简介: 石啊莲(1983—),女,讲师,研究方向为非线性控制.

更新日期/Last Update: 2015-05-30