The confluence of major breakthroughs in optimal control theory and new algorithms has made possible the real-time computation of optimal trajectories. This implies that mission analysis can be carried out rapidly with the only limitation being the designer‘s imagination. This course will introduce the student to the major advancements that have taken place over the last decade in both theory and algorithms for fast trajectory optimization. Students will acquire a broad perspective on recent developments in the mathematical foundations of trajectory optimization; “old hats” will also acquire a new perspective to some old ideas. The overall objective of this course is to outline the new foundations related to convergence of solutions that have emerged in recent years and the accompanying breakthroughs in general techniques for problem solving. These techniques are intended to enhance, not replace, special techniques that are in common use. Anyone involved in aerospace research will benefit from this course.
Who Should Attend
- Emerging perspectives in mathematical analysis and trajectory optimization.
- Review of optimal control theory.
- Covector Mapping Principle for computational optimal control.
- Introduction to pseudospectral optimal control.
- New techniques in verification and validation.
- Real-time optimal control.
The purpose of this course is to introduce the student to new general techniques in trajectory optimization and optimal control that have emerged in recent years. These techniques are intended to enhance, not replace, special techniques that are in common use. Thus, anyone involved in trajectory optimization, control of complex nonlinear systems, and aerospace research will benefit from this course.