Rhouma Aymen, Bouani Faouzi, Bouzouita Badreddine, Ksouri Mekki
Université de Tunis El Manar , Ecole Nationale d'Ingénieurs de Tunis, LR11ES20 Laboratoire Analyse, Conception et Commande des Systèmes, Tunis 1002 , Tunisia.
Université de Tunis El Manar , Ecole Nationale d'Ingénieurs de Tunis, LR11ES20 Laboratoire Analyse, Conception et Commande des Systèmes, Tunis 1002 , Tunisia e-mail:
J Comput Nonlinear Dyn. 2014 Jul;9(3):0310111-310117. doi: 10.1115/1.4026493. Epub 2014 Feb 13.
This paper provides the model predictive control (MPC) of fractional order systems. The direct method will be used as internal model to predict the future dynamic behavior of the process, which is used to achieve the control law. This method is based on the Grünwald-Letnikov's definition that consists of replacing the noninteger derivation operator of the adopted system representation by a discrete approximation. The performances and the efficiency of this approach are illustrated with practical results on a thermal system and compared to the MPC based on the integer ARX model.
本文提出了分数阶系统的模型预测控制（MPC）方法。将直接方法用作内部模型来预测过程的未来动态行为，以实现控制律。该方法基于 Grünwald-Letnikov 定义，即通过离散近似来替代所采用系统表示中的非整数微分算子。通过热系统的实际结果说明了该方法的性能和效率，并与基于整数 ARX 模型的 MPC 进行了比较。
