Abstract
A new numerical method for solving zero-sum two-person differential games is developed. The method, which we call semi-direct collocation with nonlinear programming, incorporates necessary conditions for saddle-point trajectories into the direct collocation with nonlinear programming method, and finds saddle-point trajectories and associated control histories. The method is more straightforward and robust than methods usually used to solve problems in differential games, such as shooting methods or differential dynamic programming. An example problem, the well-known dolichobrachistochrone, is solved to verify suitability of the method for a realistic dynamic problem. A second, more complex problem of spacecraft interception of an optimally evasive target is also successfully solved.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2047-2066 |
| Number of pages | 20 |
| Journal | Advances in the Astronautical Sciences |
| Volume | 109 III |
| State | Published - 2002 |
| Event | Proceeings of the AAS/AIAA Astrodynamics Conference - Quebec City, Que., Canada Duration: Jul 30 2001 → Aug 2 2002 |
ASJC Scopus subject areas
- Aerospace Engineering
- Space and Planetary Science