# Particle steering problem

From mintOC

Particle steering problem | |
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State dimension: | 1 |

Differential states: | 2 |

Discrete control functions: | 1 |

Path constraints: | 2 |

Interior point equalities: | 7 |

The Particle steering problem minimizes "the time taken for a particle, acted upon by a thrust of constant magnitude, to achieve a given altitude and terminal velocity." (Cite and problem taken from the COPS library)

## Mathematical formulation

The problem is given by

where is the position of the particle, is the control angle and is the constant magnitude of thrust.

## Source Code

Model descriptions are available in