Optimal Control Course
Master optimal control through designing fuel-efficient vertical rocket landings. Gain skills in modelling dynamics, setting constraints, applying Pontryagin’s Minimum Principle, constructing Hamiltonians, and solving boundary value problems with numerical methods like indirect shooting and direct transcription for robust engineering solutions.

4 to 360 hours of flexible workload
certificate valid in your country
What Will I Learn?
This course equips you with skills to model 1D vertical rocket dynamics, impose realistic constraints, and examine phase-space behaviour for safe and fuel-efficient landings. You will apply Pontryagin’s Minimum Principle, formulate Hamiltonians, manage costates, solve boundary value problems via indirect shooting and direct transcription, and explore practical extensions for real-world systems.
Elevify Advantages
Develop Skills
- Build 1D rocket models by deriving, scaling, and constraining vertical dynamics for control.
- Design fuel-optimal landings by posing and solving Pontryagin-based control problems efficiently.
- Analyze bang-bang controls by computing switching times and phase-space trajectories.
- Apply numerical optimal control methods like shooting, collocation, and mesh refinement in practice.
- Translate optimal control theory to hardware by handling delays, noise, limits, and safety envelopes.
Suggested Summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
Your classes are perfect. I got the one-year package and finally have the chance to follow several topics I'm interested in without having to switch platforms... thank you for everything you do, I've already recommended you to others...

Giulio CarloDigital Marketing Student
I like how the lessons get straight to the point and how I can switch chapters and skip content I don't need.

Mariana FerresPhotography Student
I like the content and the way the videos are presented and transcribed, which speeds up the process!

Luciana AlvarengaNail Design Student
The platform is fast and easy to use. The variety of content and the supplementary videos really help with learning.

Giulio CarloPrompt Engineering Student
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