A combined Balanced Truncation and Multi-Parametric Programming approach for Linear Model Predictive Control
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We present a novel approach to Model Predictive Control problems, which combines a model reduction scheme coupled with parametric programming. Balanced Truncation is used to first reduce the size of the original Model Predictive Control formulation, while multi-parametric programming is employed to derive the parametric control laws offline. The theoretical developments are presented with an example problem. 2008 Elsevier B.V. All rights reserved.