The 9 homework assignments for this course is taken from a large compendium of worked problems, meant to accompany the course notes. Each problem is listed separately in the table below. The entire collection is also available as a single download.

Hover, Franz S. *System Design for Uncertainty: Worked Examples.* Cambridge, MA: MIT Center for Ocean Engineering, 2010. (PDF - 2.2MB)

PROBLEMS | FILES |
---|---|

Linear time invariance | (PDF) |

Convolution | (PDF) |

Fourier series | (PDF) |

Bretschneider spectrum definition | (PDF) |

LTI machine | (PDF) |

Convolution of sine and unit step | (PDF) |

Fourier series calculations | (PDF) |

Probability primer with dice | (PDF) |

Autonomous vehicle mission design, with a simple battery model (HW 1) | (PDF) |

Simulation of a system driven by a random disturbance | (PDF) |

Sea spectrum and marine vehicle pitch response | (PDF) |

Ranging measurements in three-space (HW 2) | (PDF) |

Numerical solution of ODE’s | (PDF) |

Pendulum dynamics and linearization | (PDF) |

Bouncing robot | (PDF) |

Road vehicle on random terrain (HW 3) | (PDF) |

Dynamics calculations using the time and frequency domains | (PDF) |

Deck flooding calculation with short-term statistics | (PDF) |

Aliasing | (PDF) |

Computations on recorded RP data (HW 4) |
(PDF), Data (DAT) |

Hurricane winds | (PDF) |

Aircraft in winds | (PDF) |

Identification of a response amplitude operator from data (HW 5) |
(PDF), Data (DAT) |

AUV mission optimization | (PDF) |

Geometry optimization | (PDF) |

Min-max multi-objective optimization | (PDF) |

Walking robot constraints | (PDF) |

Floating structure in waves | (PDF) |

Flight control of a hovercraft (HW 6) | (PDF) |

Dynamic programming for path design | (PDF) |

Identification of a response amplitude operator from data: redux (HW 7) |
(PDF), Data (DAT) |

Motor servo with backlash | (PDF) |

Positioning using ranging: 2D case | (PDF) |

Dead-reckoning error | (PDF) |

Landing vehicle control | (PDF) |

Control of a high-speed vehicle | (PDF) |

Nyquist plot | (PDF) |

Monte Carlo and grid-based techniques for stochastic simulation (HW 8) | (PDF) |

Hurricane Ida wind record (HW 9) |
(PDF), Data (TXT) |

Metacentric height of a catamaran | (PDF) |

Floating structure heave and roll | (PDF) |

Submerged body in waves | (PDF) |

Spectral analysis to find a hidden message |
(PDF), Data (DAT) |

Feedback on a highly maneuverable vessel | (PDF) |