Automatic Control, Advanced Course
Reglerteknik, fortsättningskurs

FRTN55F, 7.5 credits

Valid from: Autumn 2020
Decided by: Professor Thomas Johansson
Date of establishment: 2020-11-13

General Information

Division: Automatic Control
Course type: Course given jointly for second and third cycle
The course is also given at second-cycle level with course code: FRTN55
Teaching language: English

Aim

The course gives an in-depth treatment of design of linear control systems with limitations. Special attention is given to design trade-offs and fundamental limitations, and how mathematical optimziation can be used as a design tool, both offline and online. The course covers both continuous-time and discrete-time control systems.

Goals

Knowledge and Understanding

For a passing grade the doctoral student must

• be able to translate between, and intelligently select among, different representations for continuous-time and discrete-time systems, in particular transient responses, transfer functions, and state-space descriptions.
• be able to derive properties of interconnected systems from the properties of their subsystems, and to characterize and quantify the role of the different subsystems.
• be able to formulate constraints on input signals and output signals of a control system and to relate these to conditions on the matrices that describe the system.
• be able to analyse how process characteristics put limitations on the control performance that can be achieved.

Competences and Skills

For a passing grade the doctoral student must

• be able to independently formulate technical specifications based on understanding of the control system should be used and interact with the external environment.
• be able to select control design methods and model structures, and translate specifications into mathematical optimization problems to be solved online or offline.
• draw conclusions from numerical calculations about the correctness of models and specifications, and about the consequences for the interaction between the system and the environment.

Judgement and Approach

For a passing grade the doctoral student must

• understand relationships and limitations when simplified models are used to describe a complex and dynamic reality
• show ability to teamwork and group collaboration at laboratories.

Course Contents

The control design process, stability, sensitivity, robustness, the small-gain theorem, transfer function matrices, non-minimum-phase systems, disturbance models in the time domain and frequency domain, frequency-domain specifications, fundamental limitations and trade-offs, controller structures, the Youla parameterization and internal model control, sampled-data control, linear-quadratic optimization of state feedback and Kalman filter, model-predictive control, controller synthesis using convex optimization.

Course Literature

Lecture slides, exercise material and laboratory manuals are available on the course homepage. Lecture Notes in Automatic Control, Advanced Course. Department of Automatic Control, LTH (compendium). Torkel Glad, Lennart Ljung: Control Theory: Multivariable and Nonlinear Methods, Taylor & Francis, 2000, ISBN 0748408789 (optional reading).

Instruction Details

Types of instruction: Lectures, laboratory exercises

Examination Details

Examination format: Written exam
Grading scale: Failed, pass
Examiner:

Admission Details

Assumed prior knowledge: FRTF05 Automatic Control, Basic Course or FRTN25 Automatic Process Control.

Course Occasion Information

Contact and Other Information

Course coordinators:
Web page: http://www.control.lth.se/course/FRTN55