Design Of Compensator Using Moment Matching Algorithm

A novel method of model reduction was created for stable linear dynamic systems on a vast scale. The authors have tried to preserve time moments and prevailing modes. Through this reduction, the overall significant properties contained in the large-scale complete order model are translated into the lower order system, enabling the generalized pole clustering approach to be used to compute the approximate denominator. The factor division procedure is used to produce the approximate numerator. This leads to the creation of a lower order system. Comparison research is carried out to show its efficacy, to emphasize some of its key characteristics, and to achieve its correctness. The approximate model identified by the suggested method is compared with the reduced order models computed from the recently proposed methods and well-known model reduction schemes in two standard numerical instances. The design of the compensator employing the moment matching algorithm, and the simplified model is highlighted as well in the study. A classic numerical example from the literature is used to validate and illustrate the compensator design