Optimal Control Course
Gain expertise in optimal control through the design of fuel-efficient vertical rocket landings. The course explores dynamic modeling, constraint handling, Pontryagin’s Minimum Principle, and numerical solution techniques to develop reliable control strategies for complex engineering challenges.

4 to 360h flexible workload
certificate valid in your country
What will I learn?
This course covers modeling one-dimensional vertical rocket dynamics, setting realistic constraints, and examining phase-space trajectories for safe and efficient landings. Participants learn Pontryagin’s Minimum Principle, construct Hamiltonians with costates, solve boundary value problems via indirect shooting and direct transcription methods, and explore practical implementations for real-world systems.
Elevify advantages
Develop skills
- Develop 1D rocket models by deriving, scaling, and applying constraints to vertical dynamics.
- Formulate and solve fuel-optimal landing problems using Pontryagin’s principle efficiently.
- Evaluate bang-bang control structures, including switching times and phase-space paths.
- Implement numerical optimal control methods like shooting, collocation, and mesh refinement.
- Adapt theoretical concepts to physical hardware, addressing delays, noise, and safety limits.
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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