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Non–minimal state variable feedback decoupling control for multivariable continuous–time systems

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Non–minimal state variable feedback decoupling control for multivariable continuous–time systems. / Taylor, James; Chotai, Arunkumar; Cross, Philip.
In: International Journal of Control, Vol. 85, No. 6, 2012, p. 722-734.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Taylor J, Chotai A, Cross P. Non–minimal state variable feedback decoupling control for multivariable continuous–time systems. International Journal of Control. 2012;85(6):722-734. Epub 2012 Feb 22. doi: 10.1080/00207179.2012.663505

Author

Taylor, James ; Chotai, Arunkumar ; Cross, Philip. / Non–minimal state variable feedback decoupling control for multivariable continuous–time systems. In: International Journal of Control. 2012 ; Vol. 85, No. 6. pp. 722-734.

Bibtex

@article{8ae3fd757ce447ddb31276339b61ef8d,
title = "Non–minimal state variable feedback decoupling control for multivariable continuous–time systems",
abstract = "Most research into non-minimal state variable feedback control, in which the state vector is implemented directly from the measured input and output signals of the controlled process, has considered discrete-time systems represented using the either the backward shift or delta operator. However, mechanistic models with physically meaningful parameters are often expressed in terms of differential equations, represented using the Laplace transform or s-operator, and the present article is concerned with multivariable design for such models. The controllability conditions are developed and it is shown how the introduction of a diagonal polynomial matrix for filtering yields a control system that is immediately realisable in practice. Worked examples include optimal control with multi-objective optimisation and pole assignment design with analytical multivariable decoupling, with the latter illustrated by its application to a nonlinear wind turbine simulation.",
keywords = "multivariable continuous-time systems, non-minimal state space, linear quadratic optimal, pole assignment, multi-objective optimisation",
author = "James Taylor and Arunkumar Chotai and Philip Cross",
year = "2012",
doi = "10.1080/00207179.2012.663505",
language = "English",
volume = "85",
pages = "722--734",
journal = "International Journal of Control",
issn = "0020-7179",
publisher = "Taylor and Francis Ltd.",
number = "6",

}

RIS

TY - JOUR

T1 - Non–minimal state variable feedback decoupling control for multivariable continuous–time systems

AU - Taylor, James

AU - Chotai, Arunkumar

AU - Cross, Philip

PY - 2012

Y1 - 2012

N2 - Most research into non-minimal state variable feedback control, in which the state vector is implemented directly from the measured input and output signals of the controlled process, has considered discrete-time systems represented using the either the backward shift or delta operator. However, mechanistic models with physically meaningful parameters are often expressed in terms of differential equations, represented using the Laplace transform or s-operator, and the present article is concerned with multivariable design for such models. The controllability conditions are developed and it is shown how the introduction of a diagonal polynomial matrix for filtering yields a control system that is immediately realisable in practice. Worked examples include optimal control with multi-objective optimisation and pole assignment design with analytical multivariable decoupling, with the latter illustrated by its application to a nonlinear wind turbine simulation.

AB - Most research into non-minimal state variable feedback control, in which the state vector is implemented directly from the measured input and output signals of the controlled process, has considered discrete-time systems represented using the either the backward shift or delta operator. However, mechanistic models with physically meaningful parameters are often expressed in terms of differential equations, represented using the Laplace transform or s-operator, and the present article is concerned with multivariable design for such models. The controllability conditions are developed and it is shown how the introduction of a diagonal polynomial matrix for filtering yields a control system that is immediately realisable in practice. Worked examples include optimal control with multi-objective optimisation and pole assignment design with analytical multivariable decoupling, with the latter illustrated by its application to a nonlinear wind turbine simulation.

KW - multivariable continuous-time systems

KW - non-minimal state space

KW - linear quadratic optimal

KW - pole assignment

KW - multi-objective optimisation

U2 - 10.1080/00207179.2012.663505

DO - 10.1080/00207179.2012.663505

M3 - Journal article

VL - 85

SP - 722

EP - 734

JO - International Journal of Control

JF - International Journal of Control

SN - 0020-7179

IS - 6

ER -