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
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