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On Robust Output Regulation for Continuous-Time Periodic Systems

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Original languageEnglish
Title of host publication2015 Proceedings of the SIAM Conference on Control and its Applications
PublisherSIAM, Society for Industrial and Applied Mathematics
Number of pages7
ISBN (Electronic)978-1-61197-407-2
Publication statusPublished - 2015
Publication typeA4 Article in a conference publication
EventSIAM Conference on Control and Its Applications - Paris, France
Duration: 1 Jan 200010 Jul 2015


ConferenceSIAM Conference on Control and Its Applications


We construct a controller to solve robust output tracking problem for a stable linear continuous-time periodic system on a finite-dimensional space. We begin by transforming the time-dependent plant to a time-invariant discrete-time system using the ``lifting technique''. The controller is then designed to achieve robust output tracking for the lifted system. We show that an exact solution to the control problem for a continuous-time periodic system necessarily requires an error feedback controller with an infinite-dimensional internal model. The results are illustrated with an example where robust output tracking is considered for a stable periodic scalar system.

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