New expressions of 2 × 2 block matrix inversion and their application

Youngjin Choi; Joono Cheong

doi:10.1109/TAC.2009.2031568

New expressions of 2 × 2 block matrix inversion and their application

Youngjin Choi^*
, Joono Cheong

^*Corresponding author for this work

Korea University (SEJONG)

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

12 Citations (Scopus)

Abstract

A 2 × 2 block matrix inversion is a tool that is frequently used in areas of control, estimation theory and signal processing. However, one of the two diagonal entries of the block matrix should be invertible to carry out a conventional block matrix inversion. In this technical note, we show that this assumption can be partially released with three new types of symbolic block matrix inversion. Also, an application example of an inverse plant model of a multi-inputs and multi-output (MIMO) plant, which cancels plant noise and disturbance, is suggested to show the effectiveness of these new types of matrix inversion.

Original language	English
Article number	5288565
Pages (from-to)	2648-2653
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	54
Issue number	11
DOIs	https://doi.org/10.1109/TAC.2009.2031568
Publication status	Published - 2009 Nov

Keywords

Block matrix inversion
Inverse plant model
Multi-inputs and multi-output (MIMO)

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.2009.2031568

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AB - A 2 × 2 block matrix inversion is a tool that is frequently used in areas of control, estimation theory and signal processing. However, one of the two diagonal entries of the block matrix should be invertible to carry out a conventional block matrix inversion. In this technical note, we show that this assumption can be partially released with three new types of symbolic block matrix inversion. Also, an application example of an inverse plant model of a multi-inputs and multi-output (MIMO) plant, which cancels plant noise and disturbance, is suggested to show the effectiveness of these new types of matrix inversion.

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New expressions of 2 × 2 block matrix inversion and their application

Abstract

Keywords

ASJC Scopus subject areas

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