非线性时滞系统的L_2增益鲁棒控制器设计方法  

Design method for an robust controller with L_2-gain for nonlinear time-delay systems

作　　者：毕卫萍[1] 张芬[1] 张艳邦[1] 

机构地区：[1]河南师范大学数学与信息科学学院,河南新乡453007

出　　处：《高校应用数学学报（A辑）》2007年第2期153-158,共6页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：河南省教育厅自然科学基金(200510476003)

摘　　要：讨论了一类非线性时滞系统的鲁棒H∞控制问题.基于Lyapunov函数的递推设计方法构造了H∞控制器,使得在L2增益意义下从干扰输入到控制输出的影响任意小.通过巧妙的选取Lyapunov函数解决了时滞问题,实现了递推设计的推广.数值例子和仿真证明了结论的正确性.This paper discusses robust H∞ control problem for a class of time-delay nonlinear systems. A recursive Lyapunov-based design approach is developed to construct H∞ controller, so that the effect from disturbance input to the controlled output in the sense of L2-gain is arbitrarily small. By choosing ideal Lyapunov functionals skillfully, the time-delay term of nonlinear systems is dealt with and the recursive design is extended. Finally, an illustrative example and simulation results verify the correctness of the conclusion.

关 键 词：非线性系统 时滞 鲁棒L∞控制 

分 类 号：O231.2[理学—运筹学与控制论]