一类非线性不确定时滞系统的混杂状态反馈H_∞鲁棒控制

Hybrid state feedback H-infinity robust control for a class of time-delay systems with nonlinear uncertainties

利用混杂状态反馈控制策略研究一类非线性不确定时滞系统的H∞鲁棒控制问题.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,并且每个单一的连续控制器都不能使系统具有鲁棒H∞性能.当控制器的增益矩阵已知时,基于单Lyapunov函数技术和凸组合条件给出控制器切换方案以确保非线性不确定时滞系统具有鲁棒H∞性能.当控制器的增益矩阵未知时,使用多Lyapunov函数技术得到了问题可解的另一个充分条件,同时还给出了混杂状态反馈H∞控制器的设计.

The problem of H-infinity robust control for a class of time-delay systems with nonlinear uncertainties is addressed through hybrid state feedback strategy. Suppose that there exist finite candidate controllers in a given set of controllers, and none of the individual controllers makes the systems stabilizable with H-infmity-norm bound. When the gain matrices of controllers are known, based on single Lyapunov function technique and convex combination condition, a switching law under which the systems are stable with H-infinity-norm bound is constructed. When the gain matrices are unknown,by employing the multiple Lyapunov function technique, another sufficient condition for the problem is derived, and the state feedback controllers and the switching law are also designed.