鲁棒稳定控制器的参数化设计方法

基于特征结构配置参数化方法,讨论了一类匹配的不确定线性系统的鲁棒控制问题,目的是设计鲁棒稳定控制器,使不确定闭环线性系统的特征值始终位于复平面的左半平面中某扇形区域内.给出了该鲁棒稳定控制器存在的充分条件及其参数化表示,可进一步利用其自由度满足某些设计要求.给出的数值例子,表明了鲁棒稳定控制器参数化设计方法的有效性.

Parametric Design of Robust Stabilizing Controllers

Based on the eigenstructure assignment of parametric method, this paper discusses the problem of robust stabilizing controllers of uncertain linear systems for a class of matching. The aim is to design robust stabilizing controllers, making the eigenvalues of the uncertain closed loop linear system always stay in a certain sector area within the left half plane of the complex plane. Then the sufficient conditions and the parametric expressions for the existence of the robust stabilizing controllers are offered in which the degree of freedom of it is further utilized to satisfy certain requirements of design. Finally, a numerical example shows the effectiveness of the proposed parametric methods of the robust stabilizing controllers.