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LMI solutions for H-two and H-infinity decentralized controllers applied to an aerothermic process

控制理论与应用（英文版） 2013年第2期11卷 247-254页

作者： najib BENNIS Mustapha RAMZI Mohamed HALOUA Hussein YOULAL ENSET de Rabat Avenue de l'Arme'e Royale Madinat Al Irfane 10100 B. P. 6207 Rabat-InstitutsMorocco LASTIMI EST de sale' Universite' Mohamed V Agdal Avenue Prince sidi Mohammed B.P 227 Sale' Me'dinaMorocco EMI Avenue IbnSina B. P. 765 Agdal RabatMorocco UFR Automatique et Technologies de l'Information Faculte' des Sciences de Rabat Avenue Ibn Batouta B. P. 1014 RabatMorocco

In this paper, we present a linear matrix inequality （LMI）-based solution to implement H-two and H- infinity 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 di^cu^ge.d and comnare, d with th~ ce^ntraliTed nn^g

关键词： Parametrization approach decentralized control H-two/H-infinity control Parameters optimization Lin-ear matrix inequality (LMI) Subspace identification Aerothermic process

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3d Recognition Using Affine Invariants

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Journal of Signal and Information Processing 2012年第2期3卷 179-184页

作者： ahm.d El Oirrak Mustapha Elhachloufi Elmustapha Ait Lmaati Mohamed Sadgal mohammed najib Kaddioui Faculty of Science Semlalia LISI Laboratory Marrakech Morocco

The size of 3d data stored around the web has become bigger. Therefore the development of recognition applications and retrieval systems of 3d models is important. This paper deals with invariants for 3d models recognition. Thus under general affine transform we propose in a first time determinants of three points to realize invariance under affinity. To solve starting point problem we needs Fourier Series (FS) to extract affine invariant descriptors, called Fourier Series descriptor (FSd). The difference between first and second approaches: in first approach determinants are computed on cartesian coordinates directly while in the second one determinants are computed from FS coefficients to eliminate dependency on starting point. The FS are also applied on 2d slices to generate affine invariants for 3d volume. FS can be computed based on hole points of volume, but this technique. The principal advantages of proposed approaches is the possibility to handle affine transform and 3d volume. Two types of 3d objects are used in the experimentations: mesh and volume, the Princeton Shape Benchmarek (PSB) is also used to test our descriptor based on FSd.

关键词： Affine Invariant FSd Mesh Volume 2d Slice

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