多变量内模控制中一类病态系统的处理

Treatment of Ill-conditioned System Based on MIMO IMC

IMC是一种实用性很强的控制方法,结构简单、设计直观简便,在线调节参数少,且调整方针明确,调整容易。将内模控制用于多变量系统的控制,是改善工程控制的一个好的控制策略。多变量的解耦内模控制,是多变量控制的一种有效方法,对于非病态系统的模型失配,可以通过调整滤波器的参数来获得期望的鲁棒性。但是对于一类病态系统,对模型失配特别敏感,此时必须对系统本身进行改造才能获得满意的特性。文中通过对传递函数矩阵的奇异值分解来实现对系统本身进行改造,在此基础上设计滤波器,进而获得希望的系统鲁棒性。

IMC is a kind of very useful control method with simple structure. IMC technique is chosen to control the MIMO systems. The model mismatch of a not ill - conditioned system can be controlled well through adjusting the filter parameters. But to the ill - conditioned system, because the mismatch of the model is very sensitive , so the system structure must be transformed to obtain robust performance. This text realizes the transformation of the system structure through SVD, and designs the wave filter on this basis to obtain desired robust performance.