The Recursive Constant Control Policy Algorithm

1 Introduction In Chapter 7, under the context of batch reaction, it is demonstrated how the fed-batch reactor may be used to approximate the behavior of both the PFR and CSTR, and how the fed-batch reactor is the batch analogue of a DSR. It is therefore possible to construct a candidate AR, composed of all three fundamental reactor types, using only DSR trajectories. This is the basic premise behind the recursive constant control (RCC) policy algorithm (Seodi-geng et al., 2009). 

From Chapter 7, we note that if a = 0 for the entire DSR length, then the resulting trajectory is that of a PFR with the same feed point. The DSR equation is identical to the PFR equation when a = 0. 

Isolating the DSR effluent concentration vector C then gives 

This equation is almost identical to the CSTR equation when the sidestream feed composition is set to the feed concentration of the CSTR (C = Cf) and the reciprocal of the equilibrium value of a is set to the residence time of the CSTR. 

From this observation, the following important result is obtained  

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