Optimal Control Course
Master the art of optimal control through crafting a fuel-efficient vertical rocket landing strategy. Delve into dynamic modeling, constraint formulation, Pontryagin’s Minimum Principle, and advanced numerical techniques to develop strong, practical control solutions tailored for challenging engineering scenarios in aerospace and beyond.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain expertise in modeling one-dimensional vertical rocket dynamics, setting practical 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 methods, and explore real-world applications with implementation tips for actual systems.
Elevify advantages
Develop skills
- Develop 1D rocket models by deriving, scaling, and applying constraints to vertical dynamics for effective control.
- Create fuel-optimal landing solutions by formulating and rapidly solving control problems based on Pontryagin’s principle.
- Examine bang-bang control strategies, calculating switching times and plotting phase-space paths accurately.
- Implement numerical optimal control techniques including shooting methods, collocation, and mesh refinement for real applications.
- Bridge theoretical concepts to physical hardware, addressing delays, noise, operational 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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