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The internal model principle for boundary control systems with polynomially bounded exogenous signals

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

Details

Original languageEnglish
Title of host publication3rd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, CPDE 2019
PublisherIFAC
Pages156-161
Number of pages6
DOIs
Publication statusPublished - 1 Jun 2019
Publication typeA4 Article in a conference publication
EventIFAC Workshop on Control of Systems Governed by Partial Differential Equations - Oaxaca, Mexico
Duration: 20 May 201924 May 2019

Publication series

NameIFAC-PapersOnLine
Volume52
ISSN (Print)2405-8963

Conference

ConferenceIFAC Workshop on Control of Systems Governed by Partial Differential Equations
CountryMexico
CityOaxaca
Period20/05/1924/05/19

Abstract

We extend the internal model principle for boundary control system to cover robust tracking of sinusoidal reference signals with polynomial coefficients. The internal model principle is presented in the form of both the internal model structure and the G-conditions. A controller structure will be presented and its internal model properties will be analyzed in order to solve the tracking problem in a robust manner. As an example, a robust controller is constructed for the one-dimensional heat equation with Dirichlet boundary control at one endpoint and temperature measurement at the other endpoint of the interval. The performance of the controller is demonstrated by numerical simulations.

ASJC Scopus subject areas

Keywords

  • Distributed parameter systems, Feedback control, Linear control systems, Output regulation, Regulator theory, Robust control

Publication forum classification

Field of science, Statistics Finland