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| NajibBENNIS,MustaphaRAMZI,MohamedHALOUA,HusseinYOULAL |
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| (ENSET de Rabat, Avenue de l’Arm´ee Royale, Madinat Al Irfane;LASTIMI, EST de sal´e, Universit´e Mohamed V Agdal, Avenue Prince sidi Mohammed;EMI, Avenue IbnSina;UFR Automatique et Technologies de l’Information, Facult´e des Sciences de Rabat, Avenue Ibn Batouta) |
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| Received:September 16, 2011Revised:October 23, 2012 |
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| LMI solutions for H-two and H-infinity decentralized controllers applied to an aerothermic process |
| Najib BENNIS,Mustapha RAMZI,Mohamed HALOUA,Hussein YOULAL |
| (ENSET de Rabat, Avenue de l’Arm´ee Royale, Madinat Al Irfane;LASTIMI, EST de sal´e, Universit´e Mohamed V Agdal, Avenue Prince sidi Mohammed;EMI, Avenue IbnSina;UFR Automatique et Technologies de l’Information, Facult´e des Sciences de Rabat, Avenue Ibn Batouta) |
| Abstract: |
| In this paper, we present a linear matrix inequality (LMI)-based solution to implement H-two and Hinfinity decentralized robust control strategies. Appropriate parametrization of optimal H-two and H-infinity controllers is used. The general formulation of the decentralized control design leads to the optimal determination of both the state feedback gains and the observer gains of the decentralized controllers. This formulation is two folds: first, a centralized controller is obtained, and then, a simplified decentralized solution is derived by optimizing only the observer gains. The mathematical determination of these gains is formulated as an LMI optimization problem that can be easily solved using LMI solvers. As an experimental evaluation of these controllers, a real time application to an aerothermic process is carried out. A continuous-time model of the process obtained with a suitable direct continuous-time identification approach is elaborated. Results illustrating the real performance obtained from the H-two and H-infinity decentralized controllers are discussed and compared with the centralized ones. |
| Key words: Parametrization approach Decentralized control H-two/H-infinity control Parameters optimization Linear matrix inequality (LMI) Subspace identification Aerothermic process |
