时滞系统 H_∞ 控制的状态空间方法

State space approach of H ∞ control for time delay systems

介绍时滞系统Ｈ∞控制的状态空间方法．首先给出时滞系统Ｈ∞控制问题，然后基于Ｒｉｃｃａｔｉ方程的解，分别导出了基于状态反馈和输出反馈Ｈ∞控制器及其存在的条件．详细地阐述了时滞系统Ｈ∞控制器设计的基本思想．

This Paper introduces a state space approach of H ∞ control for time delay systems. Based on the algebraic Riccati equation theory, a sufficient condition which guarantees the existence of H ∞ controller for time delay systems is derived in detail. The output feedback H ∞ controller is constructed by solving two algebraic Riccati equations; the state feedback controller is obtained by solving a algebraic Riccati equation.