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Youla-Kučera Parameterisation Approach to LQ Tracking and Disturbance Rejection Problem

Authors:Čirka Ľuboš, Slovak University of Technology, Slovakia (Slovak Republic)
Fikar Miroslav, Slovak University of Technology, Slovakia (Slovak Republic)
Mikleš Ján, Slovak University of Technology, Slovakia (Slovak Republic)
Topic:2.1 Control Design
Session:Polynomial Design Methods: Theoretical Achievements
Keywords: LQ control, parameterisation, spectral factorisation

Abstract

The contribution is focused on the design of optimal LQ (Linear Quadratic) controller when the YK Youla-Kučera controller parameterisation is used. We provide a procedure for computing a deterministic optimal SISO (single-input single-output) 2DoF controller from any stabilising 2DoF controller.