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Model Predictive Control - Ideas for the Next Generation


A. Bemporad, G. Ferrari-Trecate, D. Mignone, M. Morari, F.D. Torrisi

European Control Conference (ECC), Karlsruhe, Germany

Mixed Logical Dynamical (MLD) systems are introduced as a new system type. The MLD form is capable to model a broad class of systems arising in many applications: linear hybrid systems; sequential logical systems (finite state machines, automata); nonlinear dynamic systems, where the nonlinearity can be expressed through combinational logic; some classes of discrete event systems; constrained linear systems. Controllability/verification and observability of MLD systems and other system theoretic properties are defined. Tests for these properties are formulated in the form of Mixed-Integer Linear Programs. Moving horizon control and estimation strategies with stability guarantees are proposed. These strategies require the iterative solution of Mixed-Integer Quadratic Programs. Several examples communicate the power and versatility of the proposed framework.

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% Autogenerated BibTeX entry
@InProceedings { BemEtal:1999:IFA_211,
    author={A. Bemporad and G. Ferrari-Trecate and D. Mignone and M. Morari and F.D. Torrisi},
    title={{Model Predictive Control - Ideas for the Next Generation}},
    booktitle={European Control Conference (ECC)},
    address={Karlsruhe, Germany},
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