Advanced Control of Industrial Processes: Structures and by Piotr Tatjewski

By Piotr Tatjewski

This e-book offers the ideas and algorithms of complicated commercial approach keep watch over and online optimization in the framework of a multilayer constitution. It describes the interplay of 3 separate layers of approach keep an eye on: direct regulate, set-point regulate, and financial optimization. The publication positive aspects illustrations of the methodologies and algorithms by way of labored examples and by means of result of simulations in response to business strategy types.

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Additional resources for Advanced Control of Industrial Processes: Structures and Algorithms (Advances in Industrial Control)

Example text

5. The inflow to the reactor is a stream of component A with a flow Fig. 5. 1 rate FA [kg/min] and a temperature TA [K]. Two reactions take place in the 1 1 ] and rC [ min ], respectively. The tank: A → B → C with reaction rates rB [ min first reaction is endothermic and the second one is exothermic. The mixture is heated by a heating medium flowing through a pipe heat exchanger located in the bottom part of the reactor. The flow rate of the heating medium Fh and the product outflow rate from the reactor F can be controlled by appropriate valves.

A set of optimal temperatures is marked by a dashed curve in Fig. 15). The task of the optimization layer is an on-line evaluation of a point of this curve corresponding to the current value of FA . The optimizer can do this task by on-line optimization, performed each time. However, due to the simplicity of the task it is also possible to use a different method: the entire m optimal curve Tˆ ( W FA ) can be evaluated off-line by performing the optimizations for a sufficiently dense set of possible disturbance values and saved in the optimizer’s memory, as a look-up table.

The shape of the surface CB (T, W FA ), evaluated for numerical values given at the beginning of this example problem formulation, is shown in Fig. 7, whereas level sets of this surface are shown in Fig. 8. It is assumed in these figures that F = FA , which results from the assumed constant filling of the tank, W (t) = Wm . The formulated control objective based on a stabilization of the concentration CB can be implemented by an upper-layer controller (constraint controller), as it is shown in Fig.

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