This paper investigates the design of a Model Predictive Control (MPC) formulation for the case of polytopic multi-model system representation. An adaptive MPC is developed taking into account the scheduling parameters in the multi-model and a terminal invariant set for all the systems that are within the system polytope. This proposed method uses a virtual model-process tuning variable, which is optimized to find the best Linear Time Invariant (LTI) prediction sequence for the horizon, based on the LTI vertices of the polytopic system. Finally, the proposed adaptive MPC is applied to a continuous stirred tank reactor (CSTR) system. Discussions are set upon the a-priori design procedure, the online computational effort and application difficulties.

本文研究了用于多主题多模型系统表示的模型预测控制（MPC）公式的设计。考虑到多模型中的调度参数和系统多面体内所有系统的终端不变集，开发了一种自适应MPC。此提议的方法使用虚拟模型过程调整变量，该变量经过优化以基于多主题系统的LTI顶点找到最佳的地平线线性不变（LTI）预测序列。最后，将提出的自适应MPC应用于连续搅拌釜反应器（CSTR）系统。讨论基于先验设计程序，在线计算量和应用难点。