The purpose of this course is to develop theoretical and applied skills in optimization and control for spacecraft guidance.
This video introduces convex relaxation techniques for solving non-convex optimal control problems. With improved computational capabilities (driven as much by improved theory as improved hardware), computational guidance is a reality. However, it is still critical to formulate tractable convex optimization problems for real-time guidance. Two classic examples are shown: the minimum time problem and the minimum fuel problem. Newer results have been achieved by Acikmese, Blackmore, Harris and others.