Optimal Control Course
Master optimal control through designing fuel-efficient vertical rocket landings. Gain skills in modelling dynamics and constraints, applying Pontryagin’s Minimum Principle, and using numerical methods like indirect shooting and direct transcription to develop robust strategies for real-world engineering challenges in aerospace and beyond. This course equips you with practical insights for implementing safe, efficient control systems.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This course teaches modelling of 1D vertical rocket dynamics with realistic constraints and phase-space analysis for safe, fuel-efficient landings. Learners apply Pontryagin’s Minimum Principle, construct Hamiltonians and costates, solve boundary value problems via indirect shooting and direct transcription, and explore practical extensions for real-world systems implementation.
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.
- Analyse bang-bang controls by computing switching times and phase-space trajectories.
- Apply numerical optimal control methods including shooting, collocation, and mesh refinement.
- Translate optimal control theory to hardware, managing delays, noise, limits, and safety constraints.
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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