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Optimization and Optimal Control (etit-522)

Optimierung und Optimale Regelung / Optimization and Optimal Control
V-UE; 4 SWS; ECTS-Points: 6
Lecturer: Prof. Dr.-Ing. habil. Thomas Meurer
 

Overview

Many problems in industry and economy rely on the determination of an optimal solution satisfying desired performance criteria and constraints. In mathematical terms this leads to the formulation of  an optimization problem. Here it is in general distinguished between static and dynamic optimization with the latter involving a dynamical process.  This lecture gives an introduction to the mathematical analysis and numerical solution of static and dynamic optimization problems with a particular focus on optimal control problems. The lecture addresses the following topics:

  • Fundamentals of static and dynamic optimization problems
  • Static optimization without and with constraints
  • Dynamic optimization without and with constraints
 

Dates

See UnivIS (lecture ID 080184) and UnivIS (lecture ID 080189)
 

Downloads

Data and files will be updated during the teaching period.

Lecture notes

Lecture notes will be provided chapterwise starting calendar week 42.

Exercises

Exercises will be provided successively during the lecturing period. A very brief introduction to some python 2.7 commands is provided in this notebook. Use ipython or Anaconda depending on your operating system.

Literature

[1] S. Boyd, L. Vandenberghe: Convex Optimization, Cambridge University Press.
[2] A.E. Bryson: Dynamic Optimization, Addison-Wesley.
[3] D.G. Luenberger, Y. Ye: Linear and Nonlinear Programming, Springer.
[4] J. Nocedal, S.J. Wright: Numerical Optimization, Springer.
[5] M. Papageorgiou: Optimierung, Oldenbourg Verlag.

 

Control Systems (etit-109)

Regelungstechnik  / Control systems engineering
V-UE; 5 SWS; ECTS-Points: 7
Lecturer: Prof. Dr.-Ing. habil. Thomas Meurer

 

Overview

This lecture gives an introduction to control systems starting with the mathematical foundations of linear systems via the systematic linear controller design in both frequency and time domain to the state-feedback control with state-observer. This in particular includes the following topics:
 
  • Mathematical description and properties of dynamic systems
  • Linear dynamical systems in the time and frequency domain
  • Analysis and design of feedback controllers in the frequency domain
  • State-feedback and state-observer design

 

Dates

See UnivIS (lecture ID 080335) and UnivIS (lecture ID 080223)

Downloads

Data and files will be updated during the teaching period.

Lecture Notes

Lecture notes will be provided chapterwise starting in calendar week 42.

Exercises

Will be provided successively during the lecturing period.

  • Exercise 1
  • Exercise 2
  • Exercise 3
  • Exercise 4
  • Exercise 5
  • Exercise 6
  • Exercise 7
  • Exercise 8


Additional Downloads

  • Template to create Bode diagram using Matlab
     

Formulary

This formulary plus 1page (DIN A4, single-sided use) are the only auxiliary material to be used in the written exam.

Exams

M.Sc. Lab Advanced Control (etit-701)

Masterpraktikum Regelungstechnik / M.Sc. Laboratory Advanced Control

Lab; 4 SWS; ECTS-Points: 4
Advisors: Prof. Dr.-Ing. habil. Thomas Meurer

 

Overview

The laboratory aims at the practical application of the contents of the lectures 'Nonlinear Control Systems' (etit-501) and 'Control Systems 1' (etit-109)'. The addressed topics comprise the design of linear time-varying and nonlinear feedforward and feedback controllers as well as their efficient computer-assisted realization using computer-algebra systems. The developed control strategies will be evaluated using numerical simulations and will be validated experimentally for based on lab experiments.
 

Dates / Downloads

After the end of the sign-up period at the secretary of the chair, there will be common meeting to determine dates and time slots. For this, please sign-up personally at the office F-117 or by email to  until 25.10.2018.

The initial meeting will take place on Friday 26.10.2018 at 8:30 am in the room F-134.

Topic Date Time slot Groups
Modeling and simulation
 

tba

 

 

Computer-assisted design
 

tba

   
I/O linearization
 
tba    
Nonlinear control
 
tba    
Flatness-based control
 
tba    

Homework:
Every experiment / topic includes homeworks, which has to be completely solved and send to the advisor two days before the experiment takes place. This includes a summery of about one DIN A4 page using the latex- or odt-template. The solution files (.wxmx, .m, .slx) have to run on the pc of the RT-lab (F-134), therefore the lab can be used for testing the files on dedicated dates to be fixed in the preliminary meeting.

 

Literature

[1] T. Meurer (2017) Regelung nichtlinearer Systeme, Lecture Notes, Chair of Automatic Control, Kiel University
[2] T. Meurer (2016/17) Regelungstechnik 1, Lecture Notes, Chair of Automatic Control, Kiel University

 

Research