Optimal Control Course
Master optimal control through designing a fuel-efficient vertical rocket landing. Gain skills in modelling, constraints, Pontryagin’s principle, and numerical methods to develop robust control strategies for real-world engineering challenges in demanding applications.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course teaches modelling of 1D vertical rocket dynamics, defining realistic constraints, and analysing phase-space behaviour for safe, fuel-efficient landings. Learners apply Pontryagin’s Minimum Principle, construct Hamiltonians, manage costates, solve boundary value problems via indirect shooting and direct transcription, and explore practical extensions for real 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 quickly.
- Analyze bang-bang controls by computing switching times and phase-space trajectories.
- Apply numerical optimal control using shooting, collocation, and mesh refinement in practice.
- Translate 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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