Abstract
This paper presents two generalized matrix continued-fraction descriptions in the second Cauer form from a transfer function matrix and/or matrix fraction descriptions which may contain non-square and/or non-regular polynomial matrices. It also presents two model reduction techniques for model simplification of high-degree non-square transfer function matrices and matrix fraction descriptions. The expansion algorithms as well as the inversion algorithms for the generalized matrix continued-fraction descriptions are derived. Two model reduction techniques, which are the matrix continued-fraction expansion method and the mixed method of the matrix continued-fraction expansion method and the equivalent-dominant pole method, are developed for model simplification of multivariable control systems.
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