线性时滞系统的状态反馈H∞控制

On State Feedback H_∞ Control of Linear Delay System

基于Lyapunov-Krasovskii泛函方法,以LMI(线性矩阵不等式)的形式,给出了一般的状态滞后自治系统内稳定且具有范数界的一个充分条件和一般的状态滞后系统问题有解的一个充分条件,并通过LMI获得控制器的解。数值例子说明了方法的正确性。

On the basis of Lyapunov - Krasovskii function, in the form of linear matrix inequality, this paper intends to give sufficient condition to solve the state feedback control problem for linear delay systems. The result guarantees that the closed - loop system is asymptotically stable and has an disturbance attenuation bound. The controller can be obtained by LMI. A numerical example is given to illustrate the design methods.