Low-dimensional adaptive output feedback controller design for transport-reaction processes

Davood Babaei Pourkargar, Antonios Armaou

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


This paper focuses on adaptive output feedback control of transport-reaction processes described by semi-linear parabolic partial differential equations (PDEs) in the presence of unknown reaction parameters. Galerkin projection is applied to derive a low-dimensional reduced order model which employed as the basis for the adaptive controller design. The proposed control structure is a combination of a Lyapunov-based controller, an adaptation law and a static observer. The adaptation law is introduced to identify the unknown parameters while the static observer is employed to estimate the system modes required by the controller which cannot be measured directly from the process. The stability of the closed-loop system is shown using Lyapunov arguments. The effectiveness of the proposed low-dimensional adaptive output feedback control structure is illustrated on a tubular chemical reactor where the spatiotemporal dynamics of temperature and concentration are modeled by semi-linear parabolic PDEs. The control objective is considered to be thermal dynamics regulation in the presence of unknown heat of reaction.

Original languageEnglish (US)
Title of host publication2015 European Control Conference, ECC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9783952426937
StatePublished - Nov 16 2015
EventEuropean Control Conference, ECC 2015 - Linz, Austria
Duration: Jul 15 2015Jul 17 2015

Publication series

Name2015 European Control Conference, ECC 2015


OtherEuropean Control Conference, ECC 2015

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering


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