Using a New Model Reduction Controllers Technique for Design a Large-Scale Linear Systems

Abstract

Abstract A innovative technique is introduced for decreasing the complexity of linear dynamical systems of higher order systems. Here, a generalized technique for grouping of poles is employ to find the reducing order plant’s denominators polynomial and numerator of polynomial is determine the using of time moment matching method. The algorithm for the grouping of generalized poles ensures that the maintenance of steadiness and prominent poles from the original system within the plant of reduced order. The suggested technology is supported by performances of error matrices such as many integrals error like absolute error, square error, time-weighted of absolute error and relative square error. A moment matching approach is used to create proportional integral derivative and lead/lag compensators using the simplified plant's transfer function. The original large-scale system is then modified to incorporate this controller, yielding a closed-loop response that closely resembles the characteristics response of the targeted references model.