针对一类非线性扰动的时滞广义大系统,研究其鲁棒H∞混合反馈控制器的设计问题.基于有界实引理,应用线性矩阵不等式方法,构造Lyapunov函数,进而得出条件使得不确定广义大系统渐进稳定并且可以解得H∞混合控制器.求解对应的线性矩阵不等式(LMIs)可以得到所需的鲁棒H∞控制器,使在控制器作用下的闭环系统渐进稳定,且满足了一定的性能指标,并且抑制了干扰的影响.
The research of stabilization and H∞control for the nonlinear large-scale time-delay systems with nonlinear perturbation was studied. Based on the bounded real lemma,LMI method and a novel Lyapunov-Krasovskii functional,a new delay-dependent sufficient condition for the existence of stabilization and hybrid controller had been given. The controller could be obtained by solving the corresponding linear matrix inequality. This controller designed could make the closed-loop systems asymptotically stable,as well as satisfying H∞properties to achieve disturbance attenuation.