Pole assignment by output feedback. A solution for 2 × 2 plants

Qing Guo Wang; Tong Heng Lee; Chang Chieh Hang

doi:10.1016/0005-1098(93)90028-R

Pole assignment by output feedback. A solution for 2 × 2 plants

Qing Guo Wang, Tong Heng Lee, Chang Chieh Hang

National University of Singapore

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

3 Citations (Scopus)

Abstract

The problem of pole assignment by static output feedback is solved in this paper for 2 × 2 plants. It is shown that the problem solvability is equivalent to the solvability of some quadratic equation and the latter can be checked through the affine transformation of quadratic functions. All solutions are given in a parametric form if a solution exists. An example is provided to illustrate the method.

Original language	English
Pages (from-to)	1599-1601
Number of pages	3
Journal	Automatica
Volume	29
Issue number	6
DOIs	https://doi.org/10.1016/0005-1098(93)90028-R
Publication status	Published - Nov 1993
Externally published	Yes

Keywords

Pole assignment
controller parametrization
multivariable systems
output feedback
polynomial approach

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1016/0005-1098(93)90028-R

Cite this

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title = "Pole assignment by output feedback. A solution for 2 × 2 plants",

abstract = "The problem of pole assignment by static output feedback is solved in this paper for 2 × 2 plants. It is shown that the problem solvability is equivalent to the solvability of some quadratic equation and the latter can be checked through the affine transformation of quadratic functions. All solutions are given in a parametric form if a solution exists. An example is provided to illustrate the method.",

keywords = "Pole assignment, controller parametrization, multivariable systems, output feedback, polynomial approach",

author = "Wang, {Qing Guo} and Lee, {Tong Heng} and Hang, {Chang Chieh}",

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AU - Lee, Tong Heng

AU - Hang, Chang Chieh

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N2 - The problem of pole assignment by static output feedback is solved in this paper for 2 × 2 plants. It is shown that the problem solvability is equivalent to the solvability of some quadratic equation and the latter can be checked through the affine transformation of quadratic functions. All solutions are given in a parametric form if a solution exists. An example is provided to illustrate the method.

AB - The problem of pole assignment by static output feedback is solved in this paper for 2 × 2 plants. It is shown that the problem solvability is equivalent to the solvability of some quadratic equation and the latter can be checked through the affine transformation of quadratic functions. All solutions are given in a parametric form if a solution exists. An example is provided to illustrate the method.

KW - Pole assignment

KW - controller parametrization

KW - multivariable systems

KW - output feedback

KW - polynomial approach

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U2 - 10.1016/0005-1098(93)90028-R

DO - 10.1016/0005-1098(93)90028-R

M3 - Article

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SN - 0005-1098

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EP - 1601

JO - Automatica

JF - Automatica

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ER -

Pole assignment by output feedback. A solution for 2 × 2 plants

Abstract

Keywords

ASJC Scopus subject areas

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