Abu-Ayyad M, Dubay R
Department of Mechanical Engineering, University of New Brunswick, Fredericton, NB, Canada, E3B 5A3.
ISA Trans. 2007 Jun;46(3):411-8. doi: 10.1016/j.isatra.2007.02.005. Epub 2007 Apr 24.
Many model predictive control (MPC) algorithms have been proposed in the literature depending on the conditionality of the system matrix and the choice of its cost-function. This paper presents the newer MPC schemes such as extended predictive control (EPC) and shifted MPC as well as other well known forms. The control performance of these controllers are compared using two systems that are slow and fast reacting. The closed-loop responses are compared and the differences and similarities are explained on the basis of the structure of the control schemes. Disturbance rejection and the tracking of various setpoint trajectories are performed with good closed-loop results from all the controllers. It was found that the controllers that were specifically designed to reduce the system matrix ill-conditionality such as EPC and generalized predictive control provided better control performance when compared to other MPC methods.
根据系统矩阵的条件性及其代价函数的选择，文献中已经提出了许多模型预测控制（MPC）算法。本文介绍了诸如扩展预测控制（EPC）和移位MPC等较新的MPC方案以及其他一些知名形式。使用两个反应慢和反应快的系统比较了这些控制器的控制性能。比较了闭环响应，并根据控制方案的结构解释了差异和相似之处。所有控制器都取得了良好的闭环结果，实现了干扰抑制和各种设定值轨迹的跟踪。结果发现，与其他MPC方法相比，专门设计用于降低系统矩阵病态性的控制器，如EPC和广义预测控制，具有更好的控制性能。
