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一类非线性时滞系统的鲁棒自适应控制
引用本文:张芬,张艳邦.一类非线性时滞系统的鲁棒自适应控制[J].纺织高校基础科学学报,2008,21(3):331-335.
作者姓名:张芬  张艳邦
作者单位:咸阳师范学院,数学系,陕西,咸阳,712000
基金项目:陕西省自然科学基金,咸阳师范学院校科研和教改项目 
摘    要:考虑了一类含有时滞非线性系统鲁棒自适应控制问题.运用backstepping方法,巧妙构造了状态反馈控制器和自适应控制律.通过选取适当的Lyapunov函数,解决了系统中的时滞项.基于Lyapunov稳定性理论,所设计的控制器实现了闭环系统的渐近稳定.最后,给出了数值例子,并对系统进行了仿真,结果验证了方法的有效性.

关 键 词:时滞非线性系统  自适应控制  Backstepping方法

Robust adaptive control for a class of nonlinear time-delay systems
ZHANG Fen,ZHANG Yan-bang.Robust adaptive control for a class of nonlinear time-delay systems[J].Basic Sciences Journal of Textile Universities,2008,21(3):331-335.
Authors:ZHANG Fen  ZHANG Yan-bang
Affiliation:ZHANG Fen, ZHANG Yah-bang (Department of Mathematics, Xianyang Normal University, Xianyang,Shaanxi 712000, China)
Abstract:Robust adaptive control problem is investigated for a class of nonlinear time-delay systems.By using backstepping method,state feedback controller and adaptive control law are constructed skillfully.Lyapunov functionals are chosen properly to deal with the time-delay terms of the systems.Based on Lyapunov stability theory,the constructed control laws can render that the closed-loop system is asymptotically stable.Finally,a numerical example and simulation results are given to illustrate the effectiveness of the proposed method.
Keywords:time-delay nonlinear systems  robust adaptive control  backstepping method
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