结构振动系统鲁棒稳定控制器的参数化设计

Parameterization of Robust Stabilizing Controller in a Class of Uncertain Structural Vibration Systems

基于特征结构配置方法,讨论了一类匹配的结构振动系统的鲁棒控制问题,目的是设计鲁棒稳定控制器使得不确定闭环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。给出了所期望的鲁棒稳定控制器存在的充分条件及其参数化形式,该控制器中的自由参数向量为控制系统设计提供了很大的自由度,可适当选择来满足设计中的其它性能指标。给出的数值例子说明了鲁棒稳定控制器的参数化设计方法的有效性。

Based on eigenstructure assignment,the problem of robust stabilizing controllers for a class of uncertain structural vibration systems satisfying matching conditions is investigated.Its aim is to design some controllers that can make the closed-loop eigenvalues of the system still lie in some sector area included in the left half plane of the complex planes.Then the existence condition and the parametric expressions for the gain matrices are given.The free parameter vectors in the solutions offer more freed...