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Robust controllers for a heat equation using the Galerkin approximation

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


Original languageEnglish
Title of host publicationProceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems
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


ConferenceInternational Symposium on Mathematical Theory of Networks and Systems
Abbreviated titleMTNS
CountryHong Kong
CityHong Kong
Internet address


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