course-details-portlet

TK8115 - Numerical Optimal Control

About

Lessons are not given in the academic year 2023/2024

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.

Learning outcome

Knowledge - 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 Skills - 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

Lecture notes

More on the course

Facts

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

Coursework

No

Language of instruction: English

Location: Trondheim

Subject area(s)
  • Engineering Cybernetics
Contact information

Department with academic responsibility
Department of Engineering Cybernetics

Timetable

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Calendar view

Examination

  • * 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.
Examination

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

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