Optimal Control Course
Master optimal control by designing a fuel‑efficient vertical rocket landing. Learn modeling, constraints, Pontryagin’s principle, and numerical methods to build robust, real‑world control strategies for demanding engineering applications.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This Optimal Control Course teaches you to model 1D vertical rocket dynamics, define realistic constraints, and analyze phase-space behavior for safe, fuel-efficient landings. You apply Pontryagin’s Minimum Principle, build Hamiltonians, and work with costates, then solve boundary value problems using indirect shooting and direct transcription, finishing with practical extensions and implementation insights for real systems.
Elevify advantages
Develop skills
- Build 1D rocket models: derive, scale, and constrain vertical dynamics for control.
- Design fuel-optimal landings: pose and solve Pontryagin-based control problems fast.
- Analyze bang-bang controls: compute switching times and phase-space trajectories.
- Apply numerical optimal control: shooting, collocation, and mesh refinement in practice.
- Translate theory to hardware: handle delays, noise, limits, and safety envelopes.
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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