Feedback Control Theory

FRT290F, 7.5 credits

Valid from: Autumn 2022
Decided by: Maria Sandsten
Date of establishment: 2022-10-28

General Information

Division: Automatic Control
Course type: Third-cycle course
Teaching language: English

Aim

The goal of the course is to provide good knowledge and practice the ability to use classical as well as modern analysis and design methods for control systems.

Goals

Knowledge and Understanding

For a passing grade the doctoral student must

• Demonstrate a good knowledge of classical techniques for performing control system analysis and synthesis:
• frequency domain
• state-space
• operator theoretic
• etc.
• Furthermore, the student should understand the strengths and weakness of these techniques, and know in what situations they are typically used.

Competences and Skills

For a passing grade the doctoral student must

• demonstrate competence in a range proof techniques commonly used in control theory:
• complex analysis approaches, e.g. the argument principle, the maximum modulus theorem, Riemann mapping theorem
• linear algebraic approaches, e.g. Cayley Hamilton, Pick interpolation
• operator theoretic, e.g. Nehari extension

Judgement and Approach

For a passing grade the doctoral student must

• understand how to match different theoretical tools to different practical problems
• show ability for teamwork and group collaboration

Course Contents

The course will work through the classical text 'Feedback control theory' -performance metrics -system representations -youla parametrisation -fundamental limitations -loopshaping -h-infinity optimisation -gain and phase margin optimisation

Course Literature

Doyle, F. & Tannenbaum: Feedback Control Theory. Dover Books on Electrical Engineering, 1992. ISBN 9780486318332.

Instruction Details

Types of instruction: Seminars, exercises, self-study literature review

Examination Details

Examination formats: Written assignments, seminars given by participants. Every chapter comes with a set of exercises that must be completed. Further reading topics will also be given, and each student will present a topic from this additional literature in a seminar session
Grading scale: Failed, pass
Examiner:

Admission Details

Admission requirements: PhD student engineering/maths - basic course in automatic control FRTF05
Assumed prior knowledge: Familiarity with advanced Course in Automatic Control FRTN55

Course Occasion Information

Contact and Other Information

Course coordinator: Richard Pates <richard.pates@control.lth.se>