Derivation and reduction of the singular Fornasini–Marchesini state-space model for a class of multidimensional systems

Dongdong Zhao,Krzysztof Galkowski,Bartlomiej Sulikowski,Li Xu

IET Control Theory & Applications（2020）

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摘要

This study is devoted to derive the singular Fornasini-Machesini (F-M) state-space model for a class of MIMO multidimensional (n-D) systems represented by non-causal multivariate transfer function matrices. It is shown, first, that the singular n-D F-M realisation can be generated by using the realisation methods of the standard n-D F-M models. Since the resulted realisations are usually non-minim...

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关键词

eigenvalues and eigenfunctions,MIMO systems,multidimensional systems,reduced order systems,state-space methods,transfer function matrices

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