Optimal Control Course
Master optimal control through crafting fuel-efficient vertical rocket landings. Delve into modelling, constraints, Pontryagin’s principle, and numerical techniques to develop strong control plans for tough engineering tasks. This course equips you with vital tools for advanced control systems in aerospace and beyond, ensuring practical application in real 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. Employ Pontryagin’s Minimum Principle, construct Hamiltonians, manage costates, solve boundary value problems via indirect shooting and direct transcription, and explore practical adaptations for actual systems.
Elevify advantages
Develop skills
- Build 1D rocket models by deriving, scaling, and constraining vertical dynamics for effective control.
- Design fuel-optimal landings by formulating and solving Pontryagin-based control problems efficiently.
- Analyze bang-bang controls by calculating switching times and phase-space trajectories accurately.
- Apply numerical optimal control using shooting, collocation, and mesh refinement in real practice.
- Translate theory to hardware by managing delays, noise, limits, and safety envelopes effectively.
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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