Difference between revisions of "Catalyst mixing problem"
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\begin{array}{llcl} | \begin{array}{llcl} | ||
\displaystyle \min_{x, u} &-1 + x_1(t_f) + x_2(t_f) \\[1.5ex] | \displaystyle \min_{x, u} &-1 + x_1(t_f) + x_2(t_f) \\[1.5ex] | ||
− | \mbox{s.t.} & \dot{x}_1 & = & u ( 10 x_2 - x_1), \\ | + | \mbox{s.t.} |
+ | & \dot{x}_1 & = & u ( 10 x_2 - x_1), \\ | ||
& \dot{x}_2 & = & u ( x_1 - 10 x_2) - (1 - u \, x_2) , \\ | & \dot{x}_2 & = & u ( x_1 - 10 x_2) - (1 - u \, x_2) , \\ | ||
& x(t_0) &=& (1, 0)^T, \\ | & x(t_0) &=& (1, 0)^T, \\ |
Revision as of 19:03, 5 May 2016
Catalyst mixing problem | |
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State dimension: | 1 |
Differential states: | 2 |
Discrete control functions: | 1 |
Interior point equalities: | 2 |
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
Parameters
In this model the parameters used are .
Source Code
Model descriptions are available in