Optimal tracking and disturbance rejection with invariant zeros on the unit circle: a polynomial spectral factorization design. Issue 1 (July 2017)

• Record Type: Journal Article
• Authors: Bunjaku, Drilon; Stefanovski, Jovan D.; Dimirovski, Georgi M.; Stankovski, Mile
• Is Part Of: IFAC-PapersOnLine. Volume 50:Issue 1(2017)
• Page Start: 381
• Page End: 386
• Publication Date: 2017-07
• Subjects: Tracking -- disturbance rejection -- para-hermitian matrices -- polynomial j-spectral factorization -- optimal LQ return difference equality; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2017.08.174
• Languages: English
• ISSNs: 2405-8963

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.