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In this paper we point out potential problems in systems where both logic and continuous control influence a continuous plant. We also propose model predictive control (MPC) based approaches for handling the problems. Simulations on a simple but nontrivial plant support the discussion

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All practical MPC implementations should have a means to recover from infeasibility. W e present a recently developed infeasibility handler which computes optimal relaxations of the relaxable constraints subject to a user-de ned prioritization, by solving only a single linear program on-line in addition to the standard quadratic programming problem on-line. A stability result for this infeasibility handler combined with the RawlingsMuske MPC controller is provided, and various practical and computational issues are discussed. From a simulated FCCU main fractionator case study, w e conclude that the proposed strategy for designing the proposed infeasibility handler is applicable on problems of realistic size.