Optimal Control Course
Gain mastery in optimal control through designing a fuel-efficient vertical rocket landing system. Explore modelling techniques, realistic constraints, Pontryagin’s Minimum Principle, and numerical solution methods to develop robust control strategies for challenging engineering tasks in real-world scenarios. This course equips you with essential skills for advanced aerospace and control systems applications.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
This course guides you in modelling 1D vertical rocket dynamics, setting realistic constraints, and examining phase-space behaviour to achieve safe and fuel-efficient landings. You will implement Pontryagin’s Minimum Principle, construct Hamiltonians, manage costates, solve boundary value problems via indirect shooting and direct transcription methods, and gain insights into practical extensions for real-world system implementations.
Elevify advantages
Develop skills
- Build precise 1D rocket models by deriving, scaling, and constraining vertical dynamics for effective control.
- Design efficient fuel-optimal landings by formulating and solving Pontryagin-based control problems quickly.
- Analyze bang-bang control strategies by calculating switching times and phase-space trajectories accurately.
- Apply practical numerical optimal control methods including shooting, collocation, and mesh refinement techniques.
- Translate optimal control theory into real hardware by 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 workloadWhat our students say
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