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

Taylor, James and Chotai, Arunkumar and Cross, Philip (2012) Non–minimal state variable feedback decoupling control for multivariable continuous–time systems. International Journal of Control, 85 (6). pp. 722-734.

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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.

Item Type: Article
Journal or Publication Title: International Journal of Control
Uncontrolled Keywords: multivariable continuous-time systems ; non-minimal state space ; linear quadratic optimal ; pole assignment ; multi-objective optimisation
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Departments: Faculty of Science and Technology > Engineering
Faculty of Science and Technology > Lancaster Environment Centre
ID Code: 52795
Deposited By: ep_importer_pure
Deposited On: 12 Mar 2012 16:59
Refereed?: Yes
Published?: Published
Last Modified: 09 Apr 2014 23:08
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/52795

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