Frequency-domain generelaized singular peruturbation method for relative error model order reduction

查看全文 作　　者：Hamid Reza [1]SHAKER 机构地区：[1]Section for Automation and Control,Institute for Electronic Systems,Aalborg University 出　　处：《控制理论与应用(英文版)》索引2009年第7卷第1期,共6页 摘　　要：A new mixed method for relative error model order reduction is proposed. In the proposed method the frequency domain balanced stochastic truncation method is improved by applying the generalized singular perturbation method to the frequency domain balanced system in the reduction procedure. The frequency domain balanced stochastic truncation method, which was proposed in [15] and [17] by the author, is based on two recently developed methods, namely frequency domain balanced truncation within a desired frequency bound and inner-outer factorization techniques. The proposed method in this paper is a carry over of the frequency-domain balanced stochastic truncation and is of interest for practical model order reduction because in this context it shows to keep the accuracy of the approximation as high as possible without sacrificing the computational efficiency and important system properties. It is shown that some important properties of the frequency domain stochastic balanced reduction technique are extended to the proposed reduction method by using the concept and properties of the reciprocal systems. Numerical results show the accuracy, simplicity and flexibility enhancement of the method. 关 键 词：大系统 分解 协调 控制系统