Numerical Optimization and Model Predictive Control 2025 /CoursesID:4229
- Most recent entry on 2025-06-13

Organisational Unit

Lehrstuhl für Regelungstechnik

Recording type

Vorlesungsreihe

Language

Many problems in economy and industry require an optimal solution under consideration of specific criteria and constraints. From a mathematical point of view, this requires the numerical solution of a parametric optimization problem or a dynamic optimization problem. The latter formulation accounts for the dynamics of the underlying process and is particularly relevant in the context of optimal control and model predictive control (MPC). In summary, the course covers the following topics:

  • Introduction to and examples of static and dynamic optimization problems
  • Unconstrained numerical optimization (optimality conditions, numerical methods)
  • Constrained numerical optimization (linear/quadratic/nonlinear problems, optimality conditions, numerical methods)
  • Dynamical optimization / optimal control problems (calculus of variations, optimality conditions, PMP, numerical methods)
  • Nonlinear model predictive control (formulations, stability, real-time solution)

Associated Clips

Episode
Title
Lecturer
Updated
Via
Duration
Media
1
Numerical Optimization and Model Predictive Control - Lecture 01
Prof. Dr. Knut Graichen
2023-04-18
Studon
01:21:26
2
Numerical Optimization and Model Predictive Control - Lecture 02
Prof. Dr. Knut Graichen
2025-04-29
Studon
01:24:36
3
Numerical Optimization and Model Predictive Control - Lecture 03
Prof. Dr. Knut Graichen
2025-05-02
Studon
01:31:11
4
Numerical Optimization and Model Predictive Control - Lecture 04
Prof. Dr. Knut Graichen
2025-05-06
Studon
01:20:48
5
Numerical Optimization and Model Predictive Control - Exercise 01
Paulina Conrad
2025-05-09
Studon
01:26:59
6
Numerical Optimization and Model Predictive Control - Lecture 05
Prof. Dr. Knut Graichen
2025-05-13
Studon
01:19:50
7
Numerical Optimization and Model Predictive Control - Lecture 06
Prof. Dr. Knut Graichen
2025-05-16
Studon
01:28:26
8
Numerical Optimization and Model Predictive Control - Lecture 07
Prof. Dr. Knut Graichen
2025-05-20
Studon
01:20:50
9
Numerical Optimization and Model Predictive Control - Lecture 08
Prof. Dr. Knut Graichen
2025-05-23
Studon
01:16:41
10
Numerical Optimization and Model Predictive Control - Exercise 02
Paulina Conrad
2025-05-27
Studon
01:36:11
11
Numerical Optimization and Model Predictive Control - Lecture 09
Prof. Dr. Knut Graichen
2025-05-30
Studon
01:22:23
12
Numerical Optimization and Model Predictive Control - Exercise 03
Paulina Conrad
2025-06-03
Studon
01:24:56
13
Numerical Optimization and Model Predictive Control - Lecture 10
Prof. Dr. Knut Graichen
2025-06-06
Studon
01:29:50
14
Numerical Optimization and Model Predictive Control - Lecture 11
Prof. Dr. Knut Graichen
2025-06-13
Studon
01:16:15

More courses from Prof. Dr. Knut Graichen

Schloss1
Prof. Dr. Knut Graichen
lecture
2024-10-07
IdM-login
Schloss1
Prof. Dr. Knut Graichen
lecture
2025-06-17
Studon
Schloss1
Prof. Dr. Knut Graichen
lecture
2025-01-14
Studon
Schloss1
Prof. Dr. Knut Graichen
2021-04-29
Studon
Schloss1
Prof. Dr. Knut Graichen
lecture
2020-07-31
Studon