Catalyst mixing problem: Difference between revisions

Catalyst mixing problem
State dimension:	1
Differential states:	2
Discrete control functions:	1
Interior point equalities:	2

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Revision as of 09:49, 10 April 2016

The Catalyst mixing problem seeks an optimal policy for mixing two catalysts "along the length of a tubular plug ow reactor involving several reactions". (Cite and problem taken from the COPS library)

Mathematical formulation

The problem is given by

$\begin{array}{llcl} \min_{x, u} & - 1 + x_{1} (t_{f}) + x_{2} (t_{f}) \\ s.t. & {\dot{x}}_{1} & = & u (10 x_{2} - x_{1}), \\ {\dot{x}}_{2} & = & u (x_{1} - 10 x_{2}) - (1 - u x_{2}), \\ x (t_{0}) & = & (1, 0)^{T}, \\ u (t) & \in & [0, 1] . \end{array}$

Parameters

In this model the parameters used are $t_{0} = 0, t_{f} = 1$ .

Source Code

Model descriptions are available in

AMPL/TACO code at Catalyst mixing problem (TACO)

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 {{Dimensions
 |nd        = 1
-|nx        = 3
+|nx        = 2
 |nw        = 1
-|nre       = 3
+|nre       = 2
 }}<!-- Do not insert line break here or Dimensions Box moves up in the layout...