基于观测器的鲁棒稳定控制器设计的新方法

本文研究了线性时变不确定系统的鲁棒观测器问题，针对满足匹配条件的系统，给出一种基于现测器的鲁棒稳定控制器设计的新方法。该方法的特点是，在控制器设计阶段利用Ｒｉｃｃａｔｉ方程代替了Ｌｙａｐｕｎｏｖ方程，对于标称非Ｈｕｒｗｉｚｅ系统不需预先设计补偿器。与现有的一些方法相比，按本文方法设计的鲁棒控制器其算法简单且能容许较大的系统不确定性。文中给出的数值例说明了这种方法的有效性。

A Novel Design Method for Observer-based Robust Stabilizing Controllers

This paper investigates the problem of robust observer for the linear time-varying uncertain systems For the system whose uncertainties satify the matching conditions,a novel method for designing an observer-based robust stabilizing controller ispresented. The main feature of this approach is that due to the use of Riccati equations rather than Lyapunov equations,we need not design precompensators for the non-Hurwitz nominal systems in the controller desgn. As a result, compared to the existing methods, foe observer-based robust stabilizing controller designed by this method is simpler in design and allows larger system uncertainties. The numerical example has shown the effectiveness of this method.