最小阶输出反馈镇定控制器设计

The Design of the Minimal-Order Stabilizers

本文首先基于逆LQG方法得到了静态输出反馈可镇定的一种充要条件，并进一步给出了固定阶输出反馈可镇定的充要条件和控制器的设计方法，基于此给出了一种最小阶镇定控制器的设计方法．这些条件的形式比较简单，判断其可镇定性和设计镇定控制器仅需解几个相应的矩阵不等式．

In this paper,first based on the inverse LQG method,a stabilizability condition via static output feedback for linear time-invariant systems is gained,then a necessary and sufficient stabilizability condition and the design method for fixed-order output feedback are derived. Then a design method of the minimalorder stabilizers is provided. All this conditions are very simple and only some matrix inequalities need to be solved to judge its stabilizability and to design the stabilizers.