同时镇定:逆LQ 方法(英文)

Simultaneous Stabilization:Inverse LQ Approach *

本文使用逆ＬＱ方法研究了同时镇定问题，首先得到ｒ 个正则ＭＩＭＯ 对象可静态输出反馈同时镇定的充要条件，然后给出了状态反馈同时镇定的一种解．这些条件均以一组耦合Ｒｉｃｃａｔｉ 方程和Ｒｉｃｃａｔｉ 不等式的形式给出．本文证明。

In this paper,the simultaneous stabilization problem is addressed using the inverse LQ approach.A necessary and sufficient condition for simultaneous stabilizability of r strictly proper MIMO plants via static output feedback is obtained,and a solution of the simultaneous stabilization via state feedback is presented.The condition is described by some coupled algebraic Riccati inequalities.It is shown that any such stabilizing feedback gain is the solution of some coupled linear quadratic control problems where every cost functional has a suitable cross term.