利用混杂状态反馈控制策略研究了一类不确定变时滞系统的混杂状态反馈鲁棒H∞控制问题.假定在给定的控制器集合中有有限个备选的状态反馈控制器,且每个单一的控制器都不能使系统具有鲁棒H∞性能,利用多Lyapunov函数技术得到了问题可解的一个充分条件,同时给出混杂状态反馈H∞控制器的设计方案.
By means of hybrid state feedback control strategy, the problem of robust H∞ control via hybrid state feedback for a class of time varying delayed systems with nonlinear uncertainties was studied. Supposing that there exist finite candidate controllers in the given set of controllers,and none of individual controllers can make the systems stabilized with H-infinity-norm bounded,a sufficient condition for the problem of robust H∞ control via hybrid state feedback for a class of time varying delayed systems with nonlinear uncertainties is derived, and state feedback controllers are designed by employing the multiple Lyapunov functions technique.