Hybrid Parametric Model‐Based Control

This chapter presents a new approach for deriving the explicit model-based control law for hybrid and continuous time linear dynamic systems via parametric programming. Our method first formulates an open-loop receding horizon optimal control problem and then recasts it as a multiparametric mixed integer quadratic program (mp-MIQP) in the case of hybrid systems and as a multiparametric dynamic optimization (mp-DO) problem in the case of continuous time dynamics. The solution of the parametric programs (see Chapter 4 of Volume 1 and Chapter 4 of Volume 2 of this book series) derives off-line an explicit parametric controller for the pertinent plant before any actual process implementation occurs. The key features of our novel approach are demonstrated via mathematical, and chemical and biomedical process examples. © 2007 Wiley-VCH Verlag GmbH & Co. KGaA.

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