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模型降阶的机理探讨及几种新方法
AN INVESTIGATION ON THE MECHANISM AND TECHNIQUE OF ORDER-REDUCTION OF MATHEMATICAL MODELS
【摘要】 本文从机理和实现两方面研究模型降阶问题。提出了在降阶模型中“中、低频段分别处理”和“有限信息资源合理分配”的原则,介绍了由此导出的几种新的模型降阶方法。新方法具有物理概念明确,计算简单易行,所得到的降阶模型在宽广的频带内有较高的逼近精度等优点,适合于工程应用。
【Abstract】 In this paper an attempt is made to probe into both the mechanism and some new computational methods of model-reduction. The principle of an optimal allotment of information resources in a reduced-order model and the technique of separate treatment for middle-frequency and low-frequency ranges are presented. Several methods and algorithms based upon these concepts are offered. Results of computation show convinoingly that these new methods of model-reduction are superior to the current methods from the point-of-view of a better similitude to the original model over a wide range of frequency. They are also simple to use and versatile in engineering application.
- 【文献出处】 自动化学报 ,Acta Automatica Sinica , 编辑部邮箱 ,1985年01期
- 【被引频次】10
- 【下载频次】253