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Robust Output Regulation for Continuous-Time Periodic Systems

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Details

Original languageEnglish
Pages (from-to)4363-4375
Number of pages13
JournalIEEE Transactions on Automatic Control
Volume62
Issue number9
DOIs
Publication statusPublished - 1 Sep 2017
Publication typeA1 Journal article-refereed

Abstract

We consider controller design for robust output tracking and disturbance rejection for continuous-time periodic linear systems with periodic reference and disturbance signals. As our main results, we present four different controllers: a feedforward control law and a discrete-time dynamic error feedback controller for output tracking and disturbance rejection, a robust discrete-time feedback controller, and finally a discrete-time feedback controller that achieves approximate robust output tracking and disturbance rejection. The presented constructions are also new for time-invariant finite and infinite-dimensional systems. The results are illustrated with two examples: a periodically time-dependent system of harmonic oscillators and a nonautonomous two-dimensional heat equation with boundary disturbance.

Keywords

  • Controller design, feedback, periodic system, robust output regulation

Publication forum classification

Field of science, Statistics Finland