Optimal Control Course
Dive into optimal control fundamentals by crafting fuel-efficient vertical rocket landings. Master dynamic modelling, constraint handling, Pontryagin’s Minimum Principle, and advanced numerical techniques to develop resilient control strategies tailored for high-stakes engineering challenges in aerospace and beyond.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
Gain expertise in modelling one-dimensional vertical rocket dynamics, setting realistic constraints, and examining phase-space behaviour to achieve safe and fuel-efficient landings. Implement Pontryagin’s Minimum Principle, construct Hamiltonians, manage costates, solve boundary value problems via indirect shooting and direct transcription methods, and explore practical applications for real-world systems.
Elevify advantages
Develop skills
- Develop 1D rocket models by deriving, scaling, and applying constraints to vertical dynamics.
- Engineer fuel-optimal landing trajectories using Pontryagin’s principle for rapid problem-solving.
- Examine bang-bang control structures, calculating switch times and phase-space paths accurately.
- Implement numerical optimal control methods including shooting, collocation, and mesh refinement.
- Bridge theory to practical hardware, managing delays, noise, constraints, and safety protocols.
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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