线性时滞系统的无源控制

Passive Control of Linear Time Delay Systems

研究一类线性时滞系统通过线性无记忆状态反馈控制律的无源控制问题 .通过某个Riccati矩阵方程对称正定解的存在性 ,给出了使得闭环系统严格无源的控制器存在条件 .进而 。

In this paper,the passive control problem of a class of linear time delay systems via linear memoryless state feedback controllers is considered.A sufficient condition is derived for the existence of controllers which render the closed loop system to be strictly passive.This condition is represented as the existence of a positive definite symmetric matrix solution to a certain Riccati matrix equation.Also,a construction for such a controller is given in terms of the solution to the Riccati matrix equation.