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Journal of Combustion
Volume 2012, Article ID 927345, 11 pages
Research Article

Robust Output Model Predictive Control of an Unstable Rijke Tube

Institute of Automatic Control, RWTH Aachen University, 52074 Aachen, Germany

Received 6 January 2012; Accepted 12 March 2012

Academic Editor: Xue-Song Bai

Copyright © 2012 Fabian Jarmolowitz et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This work investigates the active control of an unstable Rijke tube using robust output model predictive control (RMPC). As internal model a polytopic linear system with constraints is assumed to account for uncertainties. For guaranteed stability, a linear state feedback controller is designed using linear matrix inequalities and used within a feedback formulation of the model predictive controller. For state estimation a robust gain-scheduled observer is developed. It is shown that the proposed RMPC ensures robust stability under constraints over the considered operating range.