Abstract
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.
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