线性奇异系统的几乎扰动解藕(英文)

Almost Disturbance Decoupling of Linear Singular Systems

本文讨论了线性奇异系统的状态反馈扰动解藕问题。在一定的假设条件下 ,推导出一种算法 ,用这种算法 ,可以非常容易地构造出一个新坐标系 ,使得系统被表达成一个简单的形式。线性状态反馈法则是在确保新坐标系统构成成立时 ,在适当的条件下 ,即在闭环系统是规则的且为释放脉冲及输出不受扰动的影响时 ,给出了几乎扰动解藕可解的充分必要条件。

The problem of disturbance decoupling by state feedback is considered for a linear singular system. Assumptions are introduced, and an algorithm developed. By using such an algorithm, a set of new coordinates can easily constructed, in which the system can be expressed in a simple form. A linear feedback law is then constructed which ensures, under appropriate conditions, that the closed loop system is regular, free of impulses, and its outputs are unaffected by disturbances. Sufficient and necessary conditions for solvability of (almost) disturbance decoupling are derived.