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A Model Reduction Methord Based On Optimal Approximation To The Dominant Energy (multi-input Multi-output)

From the viewpoint of optimal approximation to the energy, this paper develops a new model reduction method in frequency domain for the MIMO (Multim-input Multi-output) large scale system. First, the dominant poles of the system are determined according to the dominant energy distribution of the system outputs, and the order and the characteristic polynomial of the reduced model are obtained. Then, the parameter matrixes of the numerator are determined by using the methord of minimizing the difference between the dominant energy of the system and the dominant energy of the reduced model and choosing energy-factor. So an united reduced modes is gained and applied to both continuous system and the discrate system. The model reduction methord can guarantee the reduced model to be stable, and make it have a good approximations of the original system in both transint and steady-state responses by adjusting the adjustable parameter 'K'. The explanation of the practicability of the model reduction are made by an example given at the end.