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

Content Provider	IET Digital Library
Author	Zhao, Dongdong Galkowski, Krzysztof Sulikowski, Bartlomiej Xu, Li
Abstract	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-minimal and deriving a minimal realisation is an extremely difficult problem, a model-order reduction method is developed. In particular, the common eigenvector approach is proposed, which significantly reveals the relationship among the reducibility, the eigenvalues and the eigenvectors associated with a given singular F-M state-space model. An example of spatially interconnected, hexagonal circuit is also given to illustrate some details and confirm the effectiveness of the proposed method.
Starting Page	634
Ending Page	645
Page Count	12
ISSN	17518644
Volume Number	14
e-ISSN	17518652
Issue Number	Issue 4, Mar (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/14/4
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2019.0543
Journal	IET Control Theory & Applications
Publisher Date	2019-12-02
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Common Eigenvector Approach Control System Analysis D F-M Realisation Model Distributed Parameter Control System Eigen Values Eigen Values And Eigen Function Linear Algebra MIMO Multidimensional System MIMO System Model-order Reduction Method Multidimensional System Multivariable Control System N-D System Noncausal Multivariate Transfer Function Matrix Numerical Analysis Reduced Order System Singular F-M State-Space Model Singular Fornasini–Machesini State-space Model Spatially Interconnected Hexagonal Circuit State Space Method Synthesis Method Transfer Function Matrix
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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