Periodic Output Regulation for Distributed Parameter Systems

Lassi Paunonen; Seppo Pohjolainen

doi:10.1007/s00498-012-0087-x

Periodic Output Regulation for Distributed Parameter Systems

Translated title of the contribution: Periodic Output Regulation for Distributed Parameter Systems

Lassi Paunonen, Seppo Pohjolainen

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Abstract

In this paper the output regulation of a linear distributed parameter system with a nonautonomous periodic exosystem is considered. It is shown that the solvability of the output regulation problem can be characterized by the solvability of a certain constrained infinite-dimensional Sylvester differential equation. Conditions are given for the existence of feedforward and feedback controllers solving the regulation problem along with a method for their construction. The theoretical results are applied to output regulation of a controlled delay equation.

Translated title of the contribution	Periodic Output Regulation for Distributed Parameter Systems
Original language	Finnish
Pages (from-to)	403-441
Journal	Mathematics of Control Signals and Systems
Volume	24
Issue number	4
DOIs	https://doi.org/10.1007/s00498-012-0087-x
Publication status	Published - 2012
Publication type	A1 Journal article-refereed

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10.1007/s00498-012-0087-x

Paunonen pohjolainen periodic output regulation
The final publication is available at link.springer.com.

http://urn.fi/URN:NBN:fi:tty-201401101034

1 Conference presentation

On Robust Output Regulation for Continuous-Time Periodic Systems
Lassi Paunonen (Speaker)
8 Jul 2015
Activity: Talk or presentation › Conference presentation

Cite this

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title = "Periodic Output Regulation for Distributed Parameter Systems",

abstract = "In this paper the output regulation of a linear distributed parameter system with a nonautonomous periodic exosystem is considered. It is shown that the solvability of the output regulation problem can be characterized by the solvability of a certain constrained infinite-dimensional Sylvester differential equation. Conditions are given for the existence of feedforward and feedback controllers solving the regulation problem along with a method for their construction. The theoretical results are applied to output regulation of a controlled delay equation.",

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AU - Pohjolainen, Seppo

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PY - 2012

Y1 - 2012

N2 - In this paper the output regulation of a linear distributed parameter system with a nonautonomous periodic exosystem is considered. It is shown that the solvability of the output regulation problem can be characterized by the solvability of a certain constrained infinite-dimensional Sylvester differential equation. Conditions are given for the existence of feedforward and feedback controllers solving the regulation problem along with a method for their construction. The theoretical results are applied to output regulation of a controlled delay equation.

AB - In this paper the output regulation of a linear distributed parameter system with a nonautonomous periodic exosystem is considered. It is shown that the solvability of the output regulation problem can be characterized by the solvability of a certain constrained infinite-dimensional Sylvester differential equation. Conditions are given for the existence of feedforward and feedback controllers solving the regulation problem along with a method for their construction. The theoretical results are applied to output regulation of a controlled delay equation.

U2 - 10.1007/s00498-012-0087-x

DO - 10.1007/s00498-012-0087-x

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JO - Mathematics of Control Signals and Systems

JF - Mathematics of Control Signals and Systems

SN - 0932-4194

IS - 4

ER -

Periodic Output Regulation for Distributed Parameter Systems

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