Controller Design for Robust Output Regulation of Regular Linear Systems

L. Paunonen

doi:10.1109/TAC.2015.2509439

Controller Design for Robust Output Regulation of Regular Linear Systems

L. Paunonen

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Abstract

We present three dynamic error feedback controllers for robust output regulation of regular linear systems. These controllers are (i) a minimal order robust controller for exponentially stable systems (ii) an observer-based robust controller and (iii) a new internal model based robust controller structure. In addition, we present two controllers that are by construction robust with respect to predefined classes of perturbations. The results are illustrated with an example where we study robust output tracking of a sinusoidal reference signal for a two-dimensional heat equation with boundary control and observation.

Original language	English
Pages (from-to)	2974-2986
Journal	IEEE Transactions on Automatic Control
Volume	61
Issue number	10
Early online date	2015
DOIs	https://doi.org/10.1109/TAC.2015.2509439
Publication status	Published - 2016
Publication type	A1 Journal article-refereed

Keywords

Linear systems
Robustness
Robust output regulation
controller design
feedback
regular linear systems

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Publication forum level 3

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10.1109/TAC.2015.2509439

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Accepted author manuscript, 1.61 MBLicence: CC BY-NC-ND

http://urn.fi/URN:NBN:fi:tty-201709191891

Cite this

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AB - We present three dynamic error feedback controllers for robust output regulation of regular linear systems. These controllers are (i) a minimal order robust controller for exponentially stable systems (ii) an observer-based robust controller and (iii) a new internal model based robust controller structure. In addition, we present two controllers that are by construction robust with respect to predefined classes of perturbations. The results are illustrated with an example where we study robust output tracking of a sinusoidal reference signal for a two-dimensional heat equation with boundary control and observation.

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KW - Robust output regulation

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Controller Design for Robust Output Regulation of Regular Linear Systems

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