The minimum number of degrees of freedom in state feedback control: International Journal of Control

J. O'Reilly

doi:10.1080/0020718508961161

The minimum number of degrees of freedom in state feedback control: International Journal of Control

J. O'Reilly

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

35 Scopus citations

Abstract

A general eigenvalue assignment (EA) control problem for linear multivariable systems is formulated and solved within the framework of parametric eigenstructure assignment. It is shown that EA control is achievable by means of a family of classes of state feedback EA controllers. The number of classes is equal to the number of admissible Jordan forms of the closed-loop system. Each class is characterized by a specific minimum number N of free parameters (degree of freedom) in the parametric form of the feedback gain matrix. The class of EA controllers with the greatest value of N is specified. Salient aspects of the method are highlighted in a numerical example. © 1985 Taylor & Francis Group, LLC.

Original language	British English
Pages (from-to)	749-768
Number of pages	20
Journal	Int J Control
Volume	41
Issue number	3
DOIs	https://doi.org/10.1080/0020718508961161
State	Published - 1985

Keywords

CONTROL SYSTEMS, LINEAR - Theory
MATHEMATICAL TECHNIQUES - Eigenvalues and Eigenfunctions
ADMISSIBLE JORDAN FORMS
LINEAR MULTIVARIABLE SYSTEMS
MINIMUM NUMBER OF DEGREES OF FREEDOM
CONTROL SYSTEMS, MULTIVARIABLE

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10.1080/0020718508961161

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Cite this

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title = "The minimum number of degrees of freedom in state feedback control: International Journal of Control",

abstract = "A general eigenvalue assignment (EA) control problem for linear multivariable systems is formulated and solved within the framework of parametric eigenstructure assignment. It is shown that EA control is achievable by means of a family of classes of state feedback EA controllers. The number of classes is equal to the number of admissible Jordan forms of the closed-loop system. Each class is characterized by a specific minimum number N of free parameters (degree of freedom) in the parametric form of the feedback gain matrix. The class of EA controllers with the greatest value of N is specified. Salient aspects of the method are highlighted in a numerical example. {\textcopyright} 1985 Taylor \& Francis Group, LLC.",

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author = "J. O'Reilly",

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year = "1985",

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language = "British English",

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pages = "749--768",

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T2 - International Journal of Control

AU - O'Reilly, J.

N1 - Export Date: 29 November 2023; Cited By: 35

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N2 - A general eigenvalue assignment (EA) control problem for linear multivariable systems is formulated and solved within the framework of parametric eigenstructure assignment. It is shown that EA control is achievable by means of a family of classes of state feedback EA controllers. The number of classes is equal to the number of admissible Jordan forms of the closed-loop system. Each class is characterized by a specific minimum number N of free parameters (degree of freedom) in the parametric form of the feedback gain matrix. The class of EA controllers with the greatest value of N is specified. Salient aspects of the method are highlighted in a numerical example. © 1985 Taylor & Francis Group, LLC.

AB - A general eigenvalue assignment (EA) control problem for linear multivariable systems is formulated and solved within the framework of parametric eigenstructure assignment. It is shown that EA control is achievable by means of a family of classes of state feedback EA controllers. The number of classes is equal to the number of admissible Jordan forms of the closed-loop system. Each class is characterized by a specific minimum number N of free parameters (degree of freedom) in the parametric form of the feedback gain matrix. The class of EA controllers with the greatest value of N is specified. Salient aspects of the method are highlighted in a numerical example. © 1985 Taylor & Francis Group, LLC.

KW - CONTROL SYSTEMS, LINEAR - Theory

KW - MATHEMATICAL TECHNIQUES - Eigenvalues and Eigenfunctions

KW - ADMISSIBLE JORDAN FORMS

KW - LINEAR MULTIVARIABLE SYSTEMS

KW - MINIMUM NUMBER OF DEGREES OF FREEDOM

KW - CONTROL SYSTEMS, MULTIVARIABLE

U2 - 10.1080/0020718508961161

DO - 10.1080/0020718508961161

M3 - Article

SN - 0020-7179

VL - 41

SP - 749

EP - 768

JO - Int J Control

JF - Int J Control

IS - 3

ER -

The minimum number of degrees of freedom in state feedback control: International Journal of Control

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