# Catalyst mixing problem

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Catalyst mixing problem | |
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State dimension: | 1 |

Differential states: | 2 |

Continuous control functions: | 1 |

Path constraints: | 2 |

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 .

## Reference Solution

If the problem is relaxed, i.e., we demand that w(t) be in the continuous interval [0, 1] instead of the binary choice \{0,1\}, the optimal solution can be determined by means of direct optimal control.

Results with relaxed controls and collocation from the COPS library

## Source Code

Model descriptions are available in