1. A system, comprising: one or more sensors providing data representing a current state of each of a plurality of process units within a continuous process, said process units meeting one or more demands of the continuous process; and a control system receiving the current state data and generating an operating state of the continuous process based thereon, the control system comprising: a model circuit implementing at least one first-principle equation, wherein the at least one first-principle equation represents at least one of the process units; a switch circuit corresponding to the model circuit and implementing a mixed integer nonlinear programming (MINLP) behavior of the corresponding model circuit; a MINLP solver circuit configured to specify a switching state from a plurality of switching states, the switching states each corresponding to an operational status of the model circuit; and an oracle circuit configured to provide an infeasibility indication to the MINLP solver circuit as a function of the demands for indicating whether the specified switching state is infeasible.