时变时滞不确定中立系统的时滞依赖和时滞独立的鲁棒H_∞控制

Delay-dependent and delay-indenpend H_∞ control for uncertain neutral systems with time-varying delays

讨论了具有时变时滞不确定中立系统的时滞依赖和时滞独立的鲁棒H∞控制问题.通过Lyapunov-Krasovskii泛涵理论以及线性矩阵不等式的方法建立了新的有界实引理,在新的有界实引理的基础上进一步得到了存在状态反馈控制律使闭环系统具有H∞性能γ的充分条件,最后用数值算例验证了结论的可靠性.

This paper considers the problem of delay-dependent and delay-independent robust H∞ control for uncertain neutral systems with time-varying delays. Based on a Lyapunov-Krasovskii functional method, delay- dependent and delay-independent bounded real lemma （BRL） for time-varying delay uncertain neutral systems is estabilished in terms of a linear matrix inequality. Using the obtained BRL, a delay-dependent and delay- independent sufficient condition for the existence of a state feedback controller, which ensures asymptotic stability and a prescrible H∞ performance level of the closed-loop system for all admissible uncertainties, is proposed Finally, a numerical example is illustrated to show the use of our obtained results.