Hybrid state feedback H-infinity robust control for a class of time-delay systems with nonlinear uncertainties
一类非线性不确定时滞系统的混杂状态反馈H∞鲁棒控制

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-infinity-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.