关于不确定线性时滞系统的H_∞控制

On the H_∞ Control for Uncertain Linear Time-Delay Systems

讨论了在状态和受控输入中都含有时变时滞及有界参数扰动的不确定线性系统的鲁棒H∞ 控制。关于全状态无记忆反馈控制器的存在性 ,给出了Riccati方程型的充分条件和设计方法。该控制器不但能镇定此类时滞系统 ,而且可使其闭环系统的H∞ 范数小于某一给定上界。该结果是对文献 [5 ]中相应不确定时滞系统的保本控制到其H∞ 的自然推广。

This paper focuses on the H_∞controller design problem for linear systems with time-varying delays and norm-bounded parameter perturbations in the system state and control. On the existence of memoryless full state feedback controllers, we present a sufficient condition and give a design method in the form of Riccati equation. This controller not only stablizes the time-delay system, but also makes the H ∞ norm of the closed-loop system to be less than a given bound. This result naturally generalizes current ones for the guaranteed cost control of uncertain time-delay systems to their H_∞ control.