Aircraft Trajectory Optimization
|Contact||Prof. Dr. rer. nat. Matthias Gerdts
Tuğba Akman, M.Sc.
Felix Schweighofer, M.Sc.
|Language of Instructions||English or German, depending on students|
|Language of Materials||English|
|Type / ECTS||Lecture, Exercise / 3 (Elective Lecture Module)|
|Time and Place||Note: The course starts on 2021-04-19.
Lecture: Mondays, 14.30-16.00, online (TUM-Online)
Exercise: Mondays, 16.00-17.00, online (TUM-Online)
Lab: Mondays, 17.00-18.30, online (TUM-Online)
|Related Links||TUM-Online: Lecture, Exercise, Lab|
|Content / Educational Objectives||Aircraft trajectory optimization belongs to the mathematical field of optimal control. This means that the optimal control history and the optimal state history (and maybe other additional parameters) that minimize a given cost function for a given dynamic system need to be calculated. Thereby, all given initial and final boundary conditions as well as path equality and inequality constraints need to be fulfilled. This enables e.g. the calculation of noise minimal approach and departure trajectories for a given aircraft at a given airport considering the population distribution as well as any procedural requirements. In this lecture the students should learn how to solve such optimal control problems beginning with the modeling of the required dynamic system as well as the cost and constraint functions. In the next steps on the one side theoretical optimality conditions are derived for simple examples and on the other side discretization techniques for the solution of realistic problems are introduced. Afterwards, methods for the solution of the resulting sparse parameter optimization problem are presented. Finally, other aspects related to the implementation are introduced.
Table of Contents:
|Teaching Methods / Materials||For the lecture and the guided tutorial lecture notes are available. The theory can be deepened in a MATLAB computer tutorial, guided by FSD.|
|Exam||Oral exam, 30 Minutes.|
This lecture is part of the Munich Aerospace Teaching Collaboration.