Implicit Central Difference Approximations of Averaged Dynamics of Highly Oscillatory Systems with Applications to Direct Optimal Control

Code repository for the replication of the experimental part of the Paper 'Implicit Central Difference Approximations of Averaged Dynamics of Highly Oscillatory Systems with Applications to Direct Optimal Control' by Jakob Harzer, Jochem De Schutter, Per Rutquit, Moritz Diehl

Link to full Paper: TODO

Fig.	Description	File
7	Damped Linear Oscillator - Order of the Average Dynamnics Approximation	LinearOscillator_ExactMacro.py
8	Perturbed Kepler Problem - Integration Endpoint Error	Satellite_EndpointExperiments_Replicate.py
9	Perturbed Kepler Problem - Pareto Optimal Configuration	Satellite_EndpointExperiments_Pareto.py
10	Perturbed Kepler Problem - Optimal Control Example - SAM Problem, in the code modify the line ADA_TYPE = 'CD2' to either 'FD','CD3', or 'CD2' to select a different average dynamics approximation method.	Satellite_OCP_SAM.py
11	Perturbed Kepler Problem - Optimal Control Example - Full Problem	Satellite_OCP_Full.py

Requirements

• Python 3.8 with:
• CasADi
• Linear Solver MA27 from HSL
• Numpy
• Matplotlib
• Scipy