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| DOI： |
| Received:July 19, 2007Revised:December 19, 2007 |
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| Frequency-domain generelaized singular peruturbation method for relative error model order reduction |
| Hamid Reza SHAKER |
| (Section for Automation and Control, Institute for Electronic Systems, Aalborg University, Aalborg, Denmark) |
| Abstract: |
| 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. |
| Key words: Large-scale systems Model reduction Balanced realization Frequency-domain Grammian |
