Robust Output Model Predictive Control of an Unstable Rijke Tube | Zendy

Fabian Jarmolowitz | Zendy; Christopher Groß-Weege | Zendy; Thomas Lammersen | Zendy; Dirk Abel | Zendy

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Robust Output Model Predictive Control of an Unstable Rijke Tube

Author(s) -

Fabian Jarmolowitz,

Christopher Groß-Weege,

Thomas Lammersen,

Dirk Abel

Publication year - 2012

Publication title -

journal of combustion

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.45

H-Index - 18

eISSN - 2090-1968

pISSN - 2090-1976

DOI - 10.1155/2012/927345

Subject(s) - control theory (sociology) , model predictive control , observer (physics) , computer science , linear matrix inequality , stability (learning theory) , robust control , linear system , controller (irrigation) , robustness (evolution) , internal model , range (aeronautics) , full state feedback , control (management) , mathematics , control system , mathematical optimization , engineering , physics , artificial intelligence , mathematical analysis , agronomy , biochemistry , machine learning , aerospace engineering , gene , electrical engineering , biology , chemistry , quantum mechanics

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.

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