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

Content

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.

Preconditions

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

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

ArtSWSTitelDozent(en)Termine
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

Media

Blackboard and beamer

Literature

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.

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