Model Reduction of Linear Time Delay Systems via a Class of Balanced Truncation

摘要

This paper investigates the model order reduction problems for linear time-delay systems with known operating frequency interval.Firstly,a class of linear system model which match the linear time-delay model exactly at the middle frequency.Then,a new middle frequency dependent balanced truncation algorithm was developed.The obtained reduced model approximate the original high-order model very well at the middle frequency and the frequency interval nearby,and the error bound at the middle frequency also established.Furthermore,the stability-preserving design conditions also derived.Finally,a numerical example was carried out to illustrate the effectiveness and advantages.