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151-0563-00L 4 Credits MSC D-ITET , D-MATH , D-MAVT
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Optimal Control

Optimale Regelung

Lecturers & Examiners: Prof. em. Dr. Hans Peter Geering
VVZ CR n/a

Last Updated: 2026-02-05 15:13:58

Abstract

Optimal control problems: types and examples. Static optimization problems; the method of Lagrange multipliers; transversality conditions. Pontryagin's minimum principle: calculus of variation; singular optimal control; existence of an optimal control. Optimal feedback control: the principle of optimality; Hamilton-Bellman-Jacobi theory. Differential games and H-infinity control.

Objective

Mastering the mathematical tools for the design of optimal controllers.

Content

Optimal open-loop and closed-loop control of dynamic systems. Calculus of variations. Pontryagin’s minimum principle. Principle of optimality. Hamilton-Bellman-Jacobi theory. Numerical methods. Differential games. Applications to: Servo control, robotics, flight control, etc.

Resources

Lecture Notes

Hans P. Geering, Optimal Control with Engineering Applications, Springer-Verlag, 2007

General Information

Language
German
Levels
MSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 30 minutes

Course Components

Type Title Time & Place Hours
lecture Optimale Regelung
  • Wed 13:15-15:00 (ML F 38)
2 h weekly
exercise Optimale Regelung
  • Wed 15:15-16:00 (ML F 38)
1 h weekly

Offered In