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

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Abstract We present a simple algorithm for computation of H 2 -optimal tracking and disturbance rejection controller of discrete-time systems possessing invariant zeros on the unit circle, based on polynomial… Click to show full abstract

Abstract We present a simple algorithm for computation of H 2 -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.

Keywords: zeros unit; unit circle; disturbance rejection; tracking disturbance; optimal tracking; invariant zeros

Journal Title: IFAC-PapersOnLine
Year Published: 2017

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