Linear model reduction using Mihailov criterion and Padé approximation technique

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Abstract
This paper uses the property of the Mihailov stability criterion to improve the Padé approximation method for linear model reduction. Therefore the stability of the reduced model is assured, if the original system is stable. This method provides several different reduced models depending upon the constant k 2 to be chosen. It is rather simple, computationally very straightforward, and can be used for multi-input multi-output systems and unstable systems. Finally this paper introduces a method for estimating the order of the reduced model, and gives a possibility for solving the model reduction problem over a desired low-frequency interval. Numerical examples and comparison among different reduced models are given.

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