Model reductions using a projection formulation
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A methodology for model reduction of multi-input multi-output (MIMO) systems that exploits the notion of an oblique projection is introduced. A reduced model is uniquely defined by a projector whose range and orthogonal to the null space are chosen among the ranges of generalized controllability and observability matrices. The reduced-order models match various combinations (chosen by the designer) of four types of parameters of the full-order system associated with (i) low-frequency response, (ii) high-frequency response, (iii) low-frequency power spectral density, and (iv) high-frequency power spectral density. Thus the method is a computationally simple substitute for many existing methods, has an extreme flexibility to embrace combinations of existing methods, and offers some novel features.