# Automatic Control, 6 credits (TSRT19)

Reglerteknik, 6 hp

### Main field of study

Electrical Engineering

First cycle

Programme course

### Examiner

Vt2 för MED och U: Johan Löfberg, Ht2 för M: Johan Löfberg

### Director of studies or equivalent

Johan Löfberg
Course offered for Semester Period Timetable module Language Campus VOF
6CMMM Mechanical Engineering, M Sc in Engineering 5 (Autumn 2017) 2 4 Swedish Linköping o

### Main field of study

Electrical Engineering

First cycle

G2X

### Course offered for

• Mechanical Engineering, M Sc in Engineering
• Biomedical Engineering, M Sc in Engineering
• Computer Science and Software Engineering, M Sc in Engineering

### Entry requirements

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.

### Prerequisites

Calculus, one variable, Calculus, several variables, Linear Algebra

### Intended learning outcomes

After completing this course students should be able to describe the basic requirements for and limitations of automatic control. Students should also be able to perform analysis and systematic construction of feedback control systems. This means that students will be expected to be able to do the following after completing this course:

• Define basic concepts in the area of automatic control.
• Transform mathematical models of linear dynamic systems between time domain input/output form, transfer function form, and state space form.
• Analyse models of linear dynamic systems that are given in the forms above with respect to stability, pole placement, rise time, damping, controllability and observability.
• Demonstrate the connections between the system properties of stability, rise time and damping in time and frequency domains.
• Derive input/output signal relationships in feedback control systems using block diagram calculations.
• Perform stability analysis of feedback control systems using Bode diagrams.
• Construct regulators in PID-form, lead-lag form, state space form, and feedforward form based on given specifications.
• Perform stability and robustness analysis of feedback control systems using the root locus method and robustness criteria respectively.
• Formulate the specifications for a feedback control system for a lab-process, then model, construct and verify that system. The work should be documented in writing.

### Course content

Dynamical systems. The feed-back principle. Differential equations, transfer functions, stability, error constants. PID control, relationships between dynamical properties and pole location. Root locus. Frequency response, Bode diagram. Stability analysis using Bode diagrams, phase and ampitude margin. Specifications in the frequency domain, lead-lag compensation, sensitivity and robustness. State space models. State feedback, observers.

### Teaching and working methods

The course consists of lectures, lessons and laboratory work.

### Examination

 LAB1 Laboratory Work U, G 1.5 credits TEN1 Written examination U, 3, 4, 5 4.5 credits

Four-grade scale, LiU, U, 3, 4, 5

### Other information

 Supplementary courses: Industrial control systems, Modeling and simulation, Control theory, Automatic control, advanced course

### Department

Institutionen för systemteknik

Johan Löfberg

### Examiner

Vt2 för MED och U: Johan Löfberg, Ht2 för M: Johan Löfberg

### Course website and other links

http://www.control.isy.liu.se/student/tsrt19/

### Education components

Preliminary scheduled hours: 64 h
Recommended self-study hours: 96 h

### Course literature

Glad T., Ljung L.: Reglerteknik. Grundläggande teori. Studentlitteratur. Övningsexempel.
Glad T., Ljung L.: Reglerteknik. Grundläggande teori. Studentlitteratur. Övningsexempel.