TEK9170 – Optimal and predictive control

Schedule, syllabus and examination date

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Course content

The course deals with the formulation of optimal control problems for linear and nonlinear systems, as well as analysis and synthesis of optimal controllers.
We will also go through the model-predictive control framework and its applications.

Learning outcome

After completing the course, you will be able to:

  • solve linear quadratic regulator problems
  • formulate dynamical optimization problems subject to constraints
  • use numerical optimization and model predictive toolboxes
  • apply optimal and predictive control techniques to process control and autonomous robots
  • understand dynamic programming framework, as well as pass on this knowledge to other students with a basic knowledge in the subject


PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.

If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.

PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.


Recommended previous knowledge

Basic knowledge about control systems.


Total number of hours: 40 (mostly lectures, with a few possibly devoted to labs). 
Assignments: 3 compulsory assignments, of which 2 must be approved before the exam, valid for one year after approval.
Attendance at the first lecture is encouraged but not mandatory.


A final, oral exam will count for 100 % of the final grade. For PhD students the oral exam includes a subject lecture (1 hour approximately).

In case of many students, a written exam may be held instead.

The course has mandatory assignments that must be approved in order to take the final exam.

Grading scale

Grades are awarded on a pass/fail scale. Read more about the grading system.

Explanations and appeals

Resit an examination

Students who can document a valid reason for absence from the regular examination are offered a postponed examination at the beginning of the next semester.

Re-scheduled examinations are not offered to students who withdraw during, or did not pass the original examination.

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.

Facts about this course






Every spring


Every spring

Teaching language