On-line optimal control strategy for a consecutive reaction system

New differential equations are derived for optimal control of a consecutive reaction system in a batch reactor. These equations can be solved easily w ith a one-dimensional optimum search technique in terms of the initial conc entrations of each component. The computations are readily carried out on-l ine in real time, and the optimal temperature profile can be calculated at each time-step based on the current values of the states. Optimization is c onsidered in terms of the temperature, but also in terms of an operation va riable. For a consecutive reaction system, the optimal equations are formul ated and optimal profiles are numerically calculated.