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TTK4135

Optimization and Control

Choose study year

Assessments and mandatory activities may be changed until September 20th.

Credits 7.5
Level Third-year courses, level III
Course start Spring 2026
Duration 1 semester
Language of instruction English
Location Trondheim
Examination arrangement Aggregate score

About

About the course

Course content

The course subject is optimization. The candidates learn to formulate optimization problems and solve these through appropriate algorithms and software. Optimality conditions like the Karush-Kuhn-Tucker (KKT) conditions are discussed and conditions for global and local conditions are analyzed. Key optimization classes of problems including linear programming (LP), quadratic programming (QP) and nonlinear programming (NLP) are studied and applied in different settings. The course includes advanced control of dynamic systems with emphasis on Model Predictive Control (MPC).

Learning outcome

Knowledge: - Ability to formulate appropriate engineering problems as a mathematical optimization problem. - Knowledge of typical engineering problems which are suitable for optimization. - Ability to analyze and solve an optimization problem; in particular linear programs (LP), quadratic programs (QP) and nonlinear programs (NP). - Ability to analyze and design optimal controllers; in particular Model Predictive Controllers (MPC). - Knowledge of optimization software. Skills: - Solve suitable optimization problems using Matlab. - Use optimization in controllers; in particular Model Predictive Control (MPC). - Complete a small optimization project. - Analyze a problem and contribute to innovative design solutions. General competence: - Communicate technical issues with specialists in cross-disciplinary teams and the general public. - Conscious attitude towards the use of optimization within engineering.

Learning methods and activities

The course is given as a mixture of lectures, assignments, programming assessments and a laboratory project. Seven of the assignments and the laboratory report must be approved to enter the final exam.

Compulsory assignments

  • Exercises
  • Laboratory report

Further on evaluation

There are two partial assessments in the course. The first is based on completion of programming assignments, and counts 20%. The second is the final written (digital) exam, which counts 80%. Both partial assessments must be passed for the course to be passed.

There are two compulsory work requirements (7 out of 10 exercises, and report from laboratory work) that must be approved.

If there is a re-sit examination, the examination form may change from written to oral. The resit exam is in august.

When a non-passed course is re-taken, the compulsory work requirements and both partial assessments must be done again.

Course materials

Information on this is given at the start of the semester.

Credit reductions

Course code Reduction From
SIE3030 7.5 sp
This course has academic overlap with the course in the table above. If you take overlapping courses, you will receive a credit reduction in the course where you have the lowest grade. If the grades are the same, the reduction will be applied to the course completed most recently.

Subject areas

  • Technological subjects

Contact information

Course coordinator

Department with academic responsibility

Department of Engineering Cybernetics

Examination

Examination

Examination arrangement: Aggregate score
Grade: Letter grades

Ordinary examination - Spring 2026

School exam
Weighting 80/100 Examination aids Code D Duration 4 hours Exam system Inspera Assessment
Place and room
The specified room can be changed and the final location will be ready no later than 3 days before the exam. You can find your room location on Studentweb.
Programming assignments
Weighting 20/100 Exam system Inspera Assessment

Re-sit examination - Summer 2026

School exam
Weighting 80/100 Examination aids Code D Duration 4 hours Exam system Inspera Assessment
Place and room
The specified room can be changed and the final location will be ready no later than 3 days before the exam. You can find your room location on Studentweb.