Linear system reduction using pade approximation to allow retention of dominant modes

Abstract

A new method of reduct-ion in order of linear time-invariant systems is introduced. It, combines the desirable features of the time-moments and the modal met.hods of reduction. The methods is based all. the concept of Pade approximat.icn about more than one point. The reduced model derived by this method, retains the dominant modes (or any desirable modes) and fits the initial time-moments of the system. The method is extended to the problem of reducing a high-order multivariable system described by its mat.rix transfer function. Severa) illustrative examples arc discussed throughout the paper. © 1975 Taylor & Francis Group, LLC.