TK8115 - Numerical Optimal Control


Examination arrangement

Examination arrangement: Oral examination and Report
Grade: Passed/Failed

Evaluation form Weighting Duration Examination aids Grade deviation
Approved report 50/100
Oral examination 50/100 D

Course content

Advanced topics and numerical methods for optimal control problems form the core of the curriculum. This includes ways to formulate optimal control problems, numerical methods and software to solve them, and analysis of their performance and properties from a control and numerical point of view. The course is to be held next time autumn 2020.

Learning outcome

- Thorough understanding of the methods and theoretical foundation for direct methods for formulation of nonlinear optimal control and model predictive control as numerical optimization problems, in particular related to stability, robustness, feasibility and numerical properties.
- Basic understanding of indirect methods for optimal control, such as Pontryagin´s maximum principle and the theory of dynamic programming.
- Basic understanding of numerical methods for optimization, in particular quadratic programming and nonlinear programming.
- Basic understanding of numerical linear algebra theory for solving optimization problems

- Ability to formulate well-conditioned optimization problems in standard forms
- Proficiency in use of numerical software for convex and nonlinear programming
- Knowledge of mathematical modeling tools for numerical optimal control
- Ability to select linear algebraic methods in order to exploit structural properties such as sparsity and band structure.

Transferable skills
- Presentation of advanced scientific topics, and scientific discussion (colloquia)
- Scientific writing skills (project report)

Learning methods and activities

The course is based on a combination of lectures, colloquia where students present topics, and a project.

Course materials

Information will be given when the course starts.

More on the course



Version: 1
Credits:  7.5 SP
Study level: Doctoral degree level


Term no.: 1
Teaching semester:  AUTUMN 2020

No.of lecture hours: 2
Lab hours: 2
No.of specialization hours: 4

Language of instruction: English

Location: Trondheim

Subject area(s)
  • Engineering Cybernetics
Contact information
Course coordinator: Lecturer(s):

Department with academic responsibility
Department of Engineering Cybernetics



Examination arrangement: Oral examination and Report

Term Status code Evaluation form Weighting Examination aids Date Time Digital exam Room *
Autumn ORD Oral examination 50/100 D
Room Building Number of candidates
Spring ORD Oral examination 50/100 D
Room Building Number of candidates
Autumn ORD Approved report 50/100
Room Building Number of candidates
Spring ORD Approved report 50/100
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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