| annote | = | {Dynamic optimisation consists in the determination, in open loop
control, of a set of decision variable time profiles (pressure,
temperature, flow rate, current, heat duty,~\ldots) for a dynamic
system that optimise a given performance index (or cost functional or
optimisation criterion)(cost, time, energy, selectivity,~\ldots)
subject to specified constraints (safety, environmental and operating
constraints). Optimal control refers to the determination of the best
time-varying profiles in closed loop control.
The orthogonal collocations on finite elements has been developed and
implemented within MATLAB environment. The original dynamic
optimisation problem is then converted into an NLP problem which is
solved using an SQP solver. The gradients of the performance index as
well as of the constraints with respect to the parameters are computed
numerically and analytically. Six different examples from the
literature are considered and treated. The results confirm the optimal
values of the literature and the expected performances of the
optimisation method when the gradients are computed analytically.}, |