Optimal Control Course
Gain mastery in optimal control through crafting a fuel-efficient landing for a vertical rocket. Delve into modelling techniques, constraint handling, Pontryagin’s principle, and numerical solutions to develop strong control strategies suited for tough engineering tasks in real scenarios.

flexible workload from 4 to 360h
valid certificate in your country
What will I learn?
This course equips you with skills to model one-dimensional vertical rocket dynamics, set practical constraints, and examine phase-space patterns for secure and fuel-saving landings. You will use Pontryagin’s Minimum Principle, construct Hamiltonians, manage costates, solve boundary value problems via indirect shooting and direct transcription methods, and explore real-world applications and implementation tips.
Elevify advantages
Develop skills
- Build 1D rocket models by deriving, scaling, and constraining vertical dynamics for control purposes.
- Design fuel-optimal landings by formulating and swiftly solving Pontryagin-based control challenges.
- Analyze bang-bang controls through calculating switching times and phase-space paths.
- Apply numerical optimal control methods like shooting, collocation, and mesh refinement in real practice.
- Translate theoretical concepts to hardware by managing delays, noise, limits, and safety measures.
Suggested summary
Before starting, you can change the chapters and 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... I appreciate everything you do, I've already recommended you to others...

Giulio CarloDigital Marketing Student
I like how the lessons are 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 extra videos really help with learning.

Giulio CarloPrompt Engineering Student
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