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) |
