# Automatic Control I

5 credits

Syllabus, Bachelor's level, 1RT490

Code
1RT490
Education cycle
First cycle
Main field(s) of study and in-depth level
Sociotechnical Systems G2F, Technology G2F
Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
Finalised by
The Faculty Board of Science and Technology, 30 August 2018
Responsible department
Department of Information Technology

## Entry requirements

60 credits in science/engineering including Single Variable Calculus, Linear Algebra II and participation in Transform Methods.

## Learning outcomes

On completion of the course, the student should be able to:

• define basic concepts in automatic control
• determine relations between models of linear dynamic systems in form of differential equations, state space models, transient responses, transfer functions and frequency responses
• analyse linear systems with respect to stability, steady state properties, controllability and observability, and fastness and damping
• evaluate closed loop systems with respect to stability, as well as robustness against and sensitivity for model errors and disturbances
• interpret and apply graphical methods and tools like block diagrams, root locus, Bode and Nyquist diagrams
• understand the function of simple controllers (PID controllers, lead-lag filters, state feedback) and controller structures (feedforward and cascade control)
• design simple controllers from given specifications
• understand and design observers for estimating the states in state space models

## Content

Modelling and mathematical description of dynamic systems in the time and frequency domain:

Impulse response, step response, transfer function, Bode and Nyquist diagrams, state space description. Estimation of states using observers. Methods for stability analysis including the Nyquist criterion.

Control strategies:

PID controller, lead-lag design, state space feedback. Robustness of feedback systems. Specification and synthesis of control systems.

Laboratory work:

• Computer aided design, simulation and analysis using the program package MATLAB.
• Laboratory experiments.

## Instruction

Lectures, problem solving sessions and laboratory work. Guest lecture.

## Assessment

Written examination at the end of the course. Passed laboratory course is also required.

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.