Multipoint optimal control with applications to space flight
- Pontryagin's Maximum Principle is generalized to multipoint optimal control with a proof given that is based entirely on the original principle. Accommodations are made for interdependency of constraints and parametric representation of the dynamics and cost function. The approach naturally applies to impulsive as well as continuous control. Periodic optimal control is an important consequence. Cost sensitivity of the performance index is also proven and demonstrated to be useful in understanding and solving optimal control problems. Three applications from space flight are solved to demonstrate the theory: optimal attitude scheduling of an imaging satellite, optimization of impulsive orbital transfer, and finding periodic orbits near the Earth-Moon Lagrange points.
|Type of resource
|electronic resource; remote; computer; online resource
|1 online resource.
|Zorn, Alan H
|Degree committee member
|Stanford University, Department of Aeronautics and Astronautics.
|Statement of responsibility
|Alan Hall Zorn.
|Submitted to the Department of Aeronautics and Astronautics.
|Thesis Ph.D. Stanford University 2019.
- © 2019 by Alan H Zorn
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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