Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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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 -