线性系统的H_∞／L_2鲁棒控制问题及其简化

H_∞/L_2 ROBUST CONTROL PROBLEM OF LINEAR SYSTEMS AND ITS SIMPLIFICATION

本文研究具有参数不确定性的线性系统的鲁棒性控制问题，提出并证明了不确定系统在Ｈ∞边界约束下使Ｌ２指标最小的充分条件，由此导出Ｈ∞／Ｌ２综合方法可将参数摄动系统的鲁棒控制器的设计问题转化为其标称系统当干扰强度增大时的鲁棒控制器的设计问题。

The robust control problem of the linear system with uncertain parameters is addressed in this paper. The sufficient conditions of the minimizing a L2 cost under the H∞boundary constraint is proposed and proven. The resultant H∞/L2 synthesis method can transform the robust controller design problem of parameter perturbated systems into the robust controller design problem of its nominal system when disturbane strength enlarges.