An efficient algorithm for the optimal operation of a cascade reactor
The optimal start-up and regulation of a cascade reactor for ethanol fermentation is faced. By reducing the dimension of the model and based on the phase-plane analysis, the conditions ensuring the asymptotic stability of the system are stated. They are determined by the overall specific dilution rate and the initial conditions. The hamiltonian formulation of minimum-time start-up and regulation of the production steady-state is analysed. This time-optimal problem is approched by solving the two-point boundary value optimization problem with a quadratic criterium that accelarates the transient behaviour of the system and with decreasing final time. Results show that important savings in time can be obtained by optimal control.
Keywordsbiotechnological systems optimal control hierarchical control
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