Nonlinear Model Predictive Control

Module MA5321

This Module is offered by TUM Department of Mathematics.

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Basic Information

MA5321 is a semester module in English language at Master’s level which is offered irregular.

This module description is valid from WS 2014/5 to WS 2014/5.

Total workloadContact hoursCredits (ECTS)
180 h 60 h 6 CP

Content, Learning Outcome and Preconditions


Nonlinear mathematical control theory: Stability of nonlinear differential equations, Ljapunov functions, asymptotic controllability, different methods of feedback stabilization, stability and stabilization of perturbed systems Nonlinear Model predictive control (NMPC): Fundamentals of NMPC, finite and infinite horizon NMPC, stability and suboptimality with/without constraints, feasibility and robustness

Learning Outcome

After successful completion of the module, students are familiar with the fundamentals of nonlinear mathematical control theory and have a detailed knowledge of nonlinear model predictive control as an important field of nonlinear control theory. They are able to apply this knowledge to the solution of typical control problems from science and engineering.


MA5334 - Model Predictive Control MA2302 - Numerical Analysis MA2005 - Ordinary Differential Equations MA2503 - Nichtlineare Optimierung

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VO 4 Nonlinear Model Predictive Control Callies, R. Montag, 14:15–15:45
Freitag, 10:15–11:45

Learning and Teaching Methods

Lecture with integrated exercise


Blackboard and beamer


L. Grüne, J. Pannel: Nonlinear Model Predictive Control, Springer 2011 E. Camacho, C. Bordons: Model predictive control, Springer 2008 J. Rawlings: Model predictive control, Nob Hill Pub 2009

Module Exam

Description of exams and course work

Written or oral exam (depending on the number of participants)

Exam Repetition

There is a possibility to take the exam at the end of the semester.

Condensed Matter

When atoms interact things can get interesting. Fundamental research on the underlying properties of materials and nanostructures and exploration of the potential they provide for applications.

Nuclei, Particles, Astrophysics

A journey of discovery to understanding our world at the subatomic scale, from the nuclei inside atoms down to the most elementary building blocks of matter. Are you ready for the adventure?


Biological systems, from proteins to living cells and organisms, obey physical principles. Our research groups in biophysics shape one of Germany's largest scientific clusters in this area.