多时滞系统的H^∞状态反馈控制

H~∞ state feedback controls for time delay systems

考虑一类多时滞系统的状态反馈H∞控制问题,首先获得基于Riccati方程、闭环系统稳定且传递函数H∞范数小于等于某一给定界γ的充分条件,然后讨论Riccati方程解的存在条件及反馈控制律的具体构造方法,并举例加以说明.

The problem of state feedback H~∞ control for systems with time-delays is considered. Firstly based on Riccati equation, a sufficient condition is given that the closed-loop systems is asymptotically stable and H~∞ norm of transfer function is not greater than a prescribed lever γ.Then the sufficient condition and solution to Riccati equation are discussed, hence the concret state feedback control is obtained, an numerical example is presented to illustrate the results.