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.
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.
出处
《纺织高校基础科学学报》
CAS
2008年第3期331-335,345,共6页
Basic Sciences Journal of Textile Universities
基金
陕西省自然科学基金资助项目(2006A14)
咸阳师范学院专项科研基金项目(07XSYK27607XSYK271)