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

Research output: Contribution to Journal/MagazineJournal articlepeer-review

<mark>Journal publication date</mark>2012
<mark>Journal</mark>International Journal of Control
Issue number6
Number of pages13
Pages (from-to)722-734
Publication StatusPublished
Early online date22/02/12
<mark>Original language</mark>English


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.