Multivariable Canonical Forms for Model Reduction of 2-D Discrete Time Systems

Kamal Premaratne; E. I. Jury; M. Mansour

doi:10.1109/31.52751

Multivariable Canonical Forms for Model Reduction of 2-D Discrete Time Systems

Kamal Premaratne, E. I. Jury, M. Mansour

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

Two canonical forms that are suitable for use in the Badreddin-Mansour (BM) reduction scheme for multi-input-multi-ouptut (MIMO) 2-D discrete-time system are introduced. It is shown that stability of the reduced model is guaranteed for separable and/or 1-horizontal-1-vertical (1h-1v) systems. An example is provided to illustrate the development of the MIMO canonical forms.

Original language	English (US)
Pages (from-to)	488-501
Number of pages	14
Journal	IEEE transactions on circuits and systems
Volume	37
Issue number	4
DOIs	https://doi.org/10.1109/31.52751
State	Published - Apr 1990

Keywords

Multivariable systems
model reduction

ASJC Scopus subject areas

Engineering(all)

Access to Document

10.1109/31.52751

Cite this

@article{11685906b5074d0eb15d5e0dc74568e4,

title = "Multivariable Canonical Forms for Model Reduction of 2-D Discrete Time Systems",

abstract = "Two canonical forms that are suitable for use in the Badreddin-Mansour (BM) reduction scheme for multi-input-multi-ouptut (MIMO) 2-D discrete-time system are introduced. It is shown that stability of the reduced model is guaranteed for separable and/or 1-horizontal-1-vertical (1h-1v) systems. An example is provided to illustrate the development of the MIMO canonical forms.",

keywords = "Multivariable systems, model reduction",

author = "Kamal Premaratne and Jury, {E. I.} and M. Mansour",

note = "Funding Information: Manuscript received August 29, 1988; irevised February 27. 1989. The work of K. Premaratne and E. I. Jury was supported by the National Science Foundation under Grant 84-10298. This paper was recommended by Associate Editor D. M. Goodman.",

year = "1990",

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T1 - Multivariable Canonical Forms for Model Reduction of 2-D Discrete Time Systems

AU - Premaratne, Kamal

AU - Jury, E. I.

AU - Mansour, M.

N1 - Funding Information: Manuscript received August 29, 1988; irevised February 27. 1989. The work of K. Premaratne and E. I. Jury was supported by the National Science Foundation under Grant 84-10298. This paper was recommended by Associate Editor D. M. Goodman.

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Y1 - 1990/4

N2 - Two canonical forms that are suitable for use in the Badreddin-Mansour (BM) reduction scheme for multi-input-multi-ouptut (MIMO) 2-D discrete-time system are introduced. It is shown that stability of the reduced model is guaranteed for separable and/or 1-horizontal-1-vertical (1h-1v) systems. An example is provided to illustrate the development of the MIMO canonical forms.

AB - Two canonical forms that are suitable for use in the Badreddin-Mansour (BM) reduction scheme for multi-input-multi-ouptut (MIMO) 2-D discrete-time system are introduced. It is shown that stability of the reduced model is guaranteed for separable and/or 1-horizontal-1-vertical (1h-1v) systems. An example is provided to illustrate the development of the MIMO canonical forms.

KW - Multivariable systems

KW - model reduction

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