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Robust controllers for a heat equation using the Galerkin approximation

Research output: Chapter in Book/Report/Conference proceedingConference contributionProfessional

Details

Original languageEnglish
Title of host publicationProceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems
Pages856-863
Number of pages8
Publication statusPublished - Jul 2018
Publication typeD3 Professional conference proceedings
EventInternational Symposium on Mathematical Theory of Networks and Systems - The Hong Kong University of Science and Technology, Hong Kong, Hong Kong
Duration: 16 Jul 201820 Jul 2018
http://mtns2018.ust.hk/

Conference

ConferenceInternational Symposium on Mathematical Theory of Networks and Systems
Abbreviated titleMTNS
CountryHong Kong
CityHong Kong
Period16/07/1820/07/18
Internet address

Abstract

We consider the robust output tracking problem for an unstable one-dimensional heat equation. As the main contribution we propose a new way of designing infinite-dimensional robust controllers based on Galerkin approximations of infinite-dimensional observer-based controllers. The results are illustrated with a concrete example where the finite-dimensional controllers are constructed using the Finite Element Method. The results are extendable for more general parabolic control systems.

Field of science, Statistics Finland