Optimal tracking and disturbance rejection with invariant zeros on the unit circle: a polynomial spectral factorization design

We present a simple algorithm for computation of H2-optimal tracking and disturbance rejection controller of discrete-time systems possessing invariant zeros on the unit circle, based on polynomial spectral factorization. We prove that the column degrees of the associated para-hermitian polynomial m...

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Bibliographic Details
Published in:IFAC-PapersOnLine 2017-07, Vol.50 (1), p.381-386
Main Authors: Bunjaku, Drilon, Stefanovski, Jovan D., Dimirovski, Georgi M., Stankovski, Mile
Format: Article
Language:English
Subjects:
disturbance rejection
optimal LQ return difference equality
para-hermitian matrices
polynomial j-spectral factorization
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Summary:We present a simple algorithm for computation of H2-optimal tracking and disturbance rejection controller of discrete-time systems possessing invariant zeros on the unit circle, based on polynomial spectral factorization. We prove that the column degrees of the associated para-hermitian polynomial matrix to be factorized are equal to the plant controllability indices. A numerical/computer simulation example is given.
ISSN:2405-8963
2405-8963
DOI:10.1016/j.ifacol.2017.08.174