International Federation of Automatic Control, Heinz's Adaptive Control of Chemical Processes 1985 PDF

By International Federation of Automatic Control, Heinz Unbehauen

ISBN-10: 0080334318

ISBN-13: 9780080334318

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3. Forming fuzzy classes. (x) between process and rough model output signals. The following relation is valid: 1 /W 1 +ωε±' (*,) Control of Complex Chemical Engineering Processes 37 where error function of the rough model adapted according to the representative of the ith naphta mixture class for the feature x. relative to the objective *> quantity selected fuel gas 1. naphta t—^cracking tube 7 [■ OJ = constant of proportionality. The membership functions for the naphta mixture class 1 are shown in Pig·2.

Particularily, the change in T n n will only be acknowledged one sampling period later, when the measurements are sampled, and not at the time Ti (the control temperature) changes, even though the two changes are almost undistinguishable in the continuous plot. Once the sampling interval and measurement set have been chosen, the following step is the selection of a suitable model structure. The proposed model structure is as follows: y(k)=Al y(k-l)+A2 y(k-2)+A3 y(k-3)+A4 y(k-4)+ Bl u(k-l)+I e(k)+Cl e(k-l) where Al = A3 0 0 0 0 0X0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 X X X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X A2 = X X 0 0 0 0 0 0 0 X 0 0 0 0 0X0 0 0 0 0 0 0 0 0 X 0 0 0 A4 = X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 Cl 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 Bl = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X The first element in matrix Bl explains how a change in the controlled temperature affects the inlet temperature, that is how a change in the control signal is acknowledged or recognized as a change in the corresponding measurement after one sampling interval.

In addition, radial effects are not accounted for. The reactor is considered to be adiabatic. b. - The oxygen and water are carried in large excess of hydrogen. The extent of the reaction has a small effect on the total mass flow rate, the latter is consequently assumed constant throughout the reactor. c. - The thermal effects caused by adsorption and desorption of water in the catalyst are neglected, hence water is not accounted for explicitly. d. - The heat capacity of the pellets is large compared to the heat transport capacity of the flowing gas, giving a large thermal residence time.

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Adaptive Control of Chemical Processes 1985 by International Federation of Automatic Control, Heinz Unbehauen


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