具有参数不确定性和外干扰系统的鲁棒H_∞状态反馈控制

Robust H∞ State Feedback Control for System with Parameter Uncertainty and External Disturbance

本文考虑具有参数不确定性和外干扰系统的鲁棒H_∝状态反馈控制问题,这个问题的解只需求解一个代数Riccati方程就可得到其状态反馈阵,且这个状态反馈阵仍保持和LQ最优设计相同的形式,运用这样的状态反馈控制,既能保证具有参数不确定性系统是稳定的,又能达到H_∝最优干扰抑制效果。

This paper considers robust H∞ state feedback coptrol problem for systems with parameter uncertainty and external disturbance. The solution to the problem only involves one algebraic Riccati equation, and according to the algebraic Riccati equation, the state feedback matrix can be obtained, the structure of which maintains the same form as LQ optimal design. Such state feedback control can ensure that the closed-loop system with parameter uncertainty is stable and achieve optimal H∞ disturbance attenuation.