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

Research output: Contribution to journalJournal article

Published

Journal publication date2012
JournalInternational Journal of Control
Journal number6
Volume85
Number of pages13
Pages722-734
Early online date22/02/12
Original languageEnglish

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.