Robust H-infinity output feedback control with variance and pole constraints for time-varying uncertain systems
具有方差和极点约束的不确定系统鲁棒H∞输出反馈控制

The design method of robust H-infinity output feedback controller with state variance and regional pole constraints is proposed in this paper for a class of time-varying uncertain systems and a quadratic matrix inequality region. Firstly, a necessary and sufficient condition of regional stable for the closed-loop system is introduced. Secondly, a sufficient condition for the existence of such output feedback controller is derived by means of linear matrix inequality approach. Under the proposed sufficient condition, the closed-loop system is robustly regional stable, possesses H-infinity performance and finite steady state variance when the disturbance is a zero-mean Gaussian white noise process. The gain matrices of the output feedback controller are also constructed by means of the method of matrix decomposition. Finally, a numerical example is given to illustrate the effectiveness of the proposed controller designing method.