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Predictive Control of Constrained Hybrid Systems


A. Bemporad, M. Morari

Nonlinear Model Predictive Control, Ascona, Switzerland, vol. 26,, pp. 71-98, (Progress in Systems & Control Theory) (Proceedings of International Symposium on Nonlinear Model Predictive Control - Assessment and Future Directions, June 1998)

This paper proposes a framework for modeling and controlling systems described by interdependent physical laws, logic rules, and operating constraints, denoted as mixed logical dynamical (MLD) systems. These are described by linear dynamic equations subject to linear inequalities involving real and integer variables. MLD systems include linear hybrid systems, finite state machines, some classes of discrete event systems, constrained linear systems, and nonlinear systems which can be approximated by piecewise linear functions. A predictive control scheme is proposed which is able to stabilize MLD systems on desired reference trajectories while fulfilling operating constraints, and possibly take into account previous qualitative knowledge in the form of heuristic rules. The resulting online optimization procedures are solved through mixed integer quadratic programming. Some examples and a simulation case study on a complex gas supply system are reported.


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% Autogenerated BibTeX entry
@InProceedings { BemMor:2000:IFA_1630,
    author={A. Bemporad and M. Morari},
    title={{Predictive Control of Constrained Hybrid Systems}},
    booktitle={Nonlinear Model Predictive Control},
    address={Ascona, Switzerland},
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