The Structure of Robust Controllers for Distributed Parameter Systems

Timo Hämäläinen; Seppo Pohjolainen

doi:10.1109/ECC.2016.7810619

The Structure of Robust Controllers for Distributed Parameter Systems

Timo Hämäläinen, Seppo Pohjolainen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review

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Abstract

Using a very general formulation of the Internal Model Principle for infinite-dimensional systems it is shown that a robust controller tracking/rejecting signals generated by an infinite-dimensional exosystem can be decomposed into a servocompensator and a stabilizing controller. The servocompensator contains an internal model of the exosystem generating the reference and disturbance signals and the stabilizing controller stabilizes the infinite-dimensional closed-loop system. As such the decomposition gives a parametrization of robustly regulating controllers in the time domain. Various ways of stabilizing the closed-loop system are presented.

Original language	English
Title of host publication	Proceedings of the European Control Conference, June 29 - July 1, 2016, Aalborg Denmark
Place of Publication	Aalborg, Denmark
Publisher	IEEE
Number of pages	6
ISBN (Electronic)	978-1-5090-2590-9
DOIs	https://doi.org/10.1109/ECC.2016.7810619
Publication status	Published - 29 Jun 2016
Publication type	A4 Article in conference proceedings
Event	European Control Conference - Duration: 1 Jan 1900 → …

Conference

Conference	European Control Conference
Period	1/01/00 → …

Keywords

Internal Model Principle
Robust Regulation
Infinite-Dimensional Systems

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Publication forum level 1

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10.1109/ECC.2016.7810619

ECC16
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Accepted author manuscript, 358 KB

http://urn.fi/URN:NBN:fi:tty-201612294921

Cite this

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AB - Using a very general formulation of the Internal Model Principle for infinite-dimensional systems it is shown that a robust controller tracking/rejecting signals generated by an infinite-dimensional exosystem can be decomposed into a servocompensator and a stabilizing controller. The servocompensator contains an internal model of the exosystem generating the reference and disturbance signals and the stabilizing controller stabilizes the infinite-dimensional closed-loop system. As such the decomposition gives a parametrization of robustly regulating controllers in the time domain. Various ways of stabilizing the closed-loop system are presented.

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The Structure of Robust Controllers for Distributed Parameter Systems

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