Optimal Control Course
Master optimal control techniques by creating a fuel-efficient landing system for vertical rockets. Delve into modelling, constraint handling, Pontryagin’s principle, and numerical solving methods to develop strong control strategies suited for challenging engineering tasks in real-world scenarios.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain skills in modelling one-dimensional vertical rocket dynamics, setting real-world constraints, and examining phase-space patterns for secure and fuel-saving 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 with implementation tips for actual systems.
Elevify advantages
Develop skills
- Build 1D rocket models by deriving, scaling, and applying constraints to vertical dynamics for effective control.
- Design fuel-optimal rocket landings by formulating and rapidly solving control problems using Pontryagin’s principle.
- Analyse bang-bang control strategies by calculating switching times and plotting phase-space paths.
- Implement numerical optimal control methods including shooting, collocation, and mesh refinement techniques.
- Convert theoretical concepts into practical hardware solutions addressing delays, noise, limits, and safety margins.
Suggested summary
Before starting, you can change the chapters and 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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