TK8103 Advanced Nonlinear Systems

**Hours: ** Wednesdays, 13:15-15:00, and Monday-Friday, Week 13 (23-27 March)
**Room: ** B337
**Dates: ** The first colloquium will be held on Wednesday, 14 January 2026, 13:15-15:00. Lecture plan.
**Exam: ** Friday, 22 May 2026. Evaluation

**Course Coordinator: ** Kristin Y. Pettersen (E-mail: Kristin Y. Pettersen)

Reference group:

• NN
• NN
• NN

Learning methods and activities:

• Lectures, mandatory group work and project.

For attending students: The course makes use of the internet-based learning platform Blackboard. Students attending the course will be given access to files and further information through Blackboard.

Course content:

The course is offered every second year, with the next offering in Spring 2026. It covers advanced topics in nonlinear control systems and is taught in English.

Learning outcome:

KNOWLEDGE:

• In-depth knowledge of design and analysis of nonlinear systems.
• Knowledge of input-output stability.
• Knowledge of stability analysis of perturbed nonlinear systems.
• Knowledge of averaging.
• Knowledge of input-to-state feedback linearization.
• Knowledge of control design using sliding mode and backstepping.
• Knowledge of analysis of cascaded systems.

SKILLS:

• Be able to analyse the stability properties of (perturbed) nonlinear systems and design control laws for such systems.
• Be able to apply methods from the literature on a given case.

GENERAL COMPETENCE:

• Skills in applying this knowledge and proficiency in new areas and complete advanced tasks and projects.
• Skills in communicating extensive independent work, and master the technical terms of nonlinear system theory.
• Ability to contribute to innovative thinking and innovation processes.

Recommended previous knowledge:

The course TTK4150 Nonlinear Control Systems or equivalent courses is a prerequisite.