广义系统反馈控制器消除脉冲模的条件

Conditions for Feedback Controllers to Eliminate Impulsive Modes of Descriptor Systems

通过对单变量和多变量广义系统的分析,证明了能消除其脉冲模的反馈控制器应满足的条件.对单变量情形,无论是时域的还是频域的,本文所给出的条件是充要的;对多变量时域情形,给出的条件是充分的;在输入输出数目相等且等于系统所含脉冲模个数时,所给出的条件也是充要的.

In this paper,the conditions for feedback controllers to eliminate theimpulsive modes(IMs)of SISO or MIMO descriptor systems are analysed.ForSISO systems,the proposed conditions are necessary and sufficient both in the timedomain and in the frequency domain.For MIMO systems,the proposed conditionsare sufficient at least in the time domain.Furthermore,they are necessary andsufficient when both the number of the input and that of the output are equal to thenumber of the IMs of these systems.