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

作     者：Najib BENNIS Mustapha RAMZI Mohamed HALOUA Hussein YOULAL 

作者机构：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 

出 版 物：《控制理论与应用（英文版）》 (Journal of Control Theory and Applications)

年 卷 期：2013年第11卷第2期

页      面：247-254页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

主　　题：Parametrization approach Decentralized control H-two/H-infinity control Parameters optimization Lin-ear matrix inequality (LMI) Subspace identification Aerothermic process 

摘      要：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