Automatic Control, 6 credits

Reglerteknik, 6 hp

TSRT12

Main field of study

Electrical Engineering

Course level

First cycle

Course type

Programme course

Examiner

Anders Hansson

Director of studies or equivalent

Johan Löfberg

Education components

Preliminary scheduled hours: 64 h
Recommended self-study hours: 96 h
Course offered for Semester Period Timetable module Language Campus ECV
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 6 (Spring 2017) 1 1 Swedish Linköping C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 6 (Spring 2017) 1 1 Swedish Linköping C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 6 (Spring 2017) 1 1 Swedish Linköping C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 6 (Spring 2017) 1 1 Swedish Linköping C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 6 (Spring 2017) 1 1 Swedish Linköping C
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering 6 (Spring 2017) 1 1 Swedish Linköping C
6CDDD Computer Science and Engineering, M Sc in Engineering 6 (Spring 2017) 1 1 Swedish Linköping C
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Chinese 4 (Spring 2017) 1 1 Swedish Linköping E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Chinese (Specialization Electrical Engineering) 4 (Spring 2017) 1 1 Swedish Linköping C
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - French 4 (Spring 2017) 1 1 Swedish Linköping E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - French (Specialization Electrical Engineering) 4 (Spring 2017) 1 1 Swedish Linköping C
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - German 4 (Spring 2017) 1 1 Swedish Linköping E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - German (Specialization Electrical Engineering) 4 (Spring 2017) 1 1 Swedish Linköping C
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Japanese 4 (Spring 2017) 1 1 Swedish Linköping E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Japanese (Specialization Electrical Engineering) 4 (Spring 2017) 1 1 Swedish Linköping C
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Spanish 4 (Spring 2017) 1 1 Swedish Linköping E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Spanish (Specialization Electrical Engineering) 4 (Spring 2017) 1 1 Swedish Linköping C
6CIII Industrial Engineering and Management, M Sc in Engineering 4 (Spring 2017) 1 1 Swedish Linköping E
6CIII Industrial Engineering and Management, M Sc in Engineering (Electrical Engineering Specialization) 4 (Spring 2017) 1 1 Swedish Linköping C
6KMAT Mathematics 6 (Spring 2017) 1 1 Swedish Linköping E
6KMAT Mathematics (Applied Mathematics) 6 (Spring 2017) 1 1 Swedish Linköping E
ECV = Elective / Compulsory / Voluntary

Main field of study

Electrical Engineering

Course level

First cycle

Advancement level

G2X

Course offered for

  • Computer Science and Engineering, M Sc in Engineering
  • Applied Physics and Electrical Engineering - International, M Sc in Engineering
  • Applied Physics and Electrical Engineering, M Sc in Engineering
  • Mathematics
  • Industrial Engineering and Management, M Sc in Engineering
  • Industrial Engineering and Management - International, 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, Complex Analysis, Fourier analysis, Circuit theory

Intended learning outcomes

After completing this course students should be able to describe the basic requirements for and limitations of automatic control systems. The student should also be able to perform analysis and model based design of feedback control systems. the student is expected to be able to do:

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

Course content

Introduction: Dynamic systems. Feedback principles.
Mathematical models I: Differential equations. Transfer functions. Stability. Error coefficients.
Synthesis I: Correspondence dynamic properties - pole placement. Interpretation of Root Locus. The Nyquist criterion.
Mathematical models II: Frequency description. Bode plots. Phase and amplitude margins.
Synthesis II: Specifications in the frequency domain. Lead-lag compensation. Sensitivity and robustness.
Mathematical description III. State space equations. Controllability and observability.
Synthesis III: State feed back. Observers. Elimination of stationary errors.

Teaching and working methods

The course consists of lectures, lessons and laboratory work.

Examination

TEN1Written Examination4.5 creditsU, 3, 4, 5
LAB1Laboratory Work1.5 creditsU, G

Grades

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

Other information

Supplementary courses: Control theory, Digital control, Modeling and simulation, Control project laboratory

Department

Institutionen för systemteknik

Director of Studies or equivalent

Johan Löfberg

Examiner

Anders Hansson

Course website and other links

Education components

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

Course literature

Glad T., Ljung L.: Reglerteknik. Grundläggande teori. Studentlitteratur. Övningsexempel.
Code Name Scope Grading scale
TEN1 Written Examination 4.5 credits U, 3, 4, 5
LAB1 Laboratory Work 1.5 credits U, G

Regulations (apply to LiU in its entirety)

The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.

LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva. 

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

Note: The course matrix is not fully translated to English.

I U A Modules Comment
1. ÄMNESKUNSKAPER
1.1 Kunskaper i grundläggande matematiska och naturvetenskapliga ämnen
Analys, algebra,fysik
1.2 Kunskaper i grundläggande (motsvarande G1X) teknikvetenskapliga ämnen
X
X
X
Reglertekniska analys- och syntesmetoder
1.3 Fördjupade kunskaper (motsvarande G2X), metoder och verktyg inom något/några teknik- och naturvetenskapliga ämnen
1.4 Väsentligt fördjupade kunskaper (motsvarande A1X), metoder och verktyg inom något/några teknik- och naturvetenskapliga ämnen
1.5 Insikt i aktuellt forsknings- och utvecklingsarbete
2. INDIVIDUELLA OCH YRKESMÄSSIGA FÄRDIGHETER OCH FÖRHÅLLNINGSSÄTT
2.1 Analytiskt tänkande och problemlösning
X
X
X
Modellering av system och signaler
2.2 Experimenterande och undersökande arbetssätt samt kunskapsbildning
X
X
Experiment på labprocesser
2.3 Systemtänkande
X
X
X
Genomgående synsätt i kursen
2.4 Förhållningssätt, tänkande och lärande
Eget arbete på lektioner m m
2.5 Etik, likabehandling och ansvarstagande
3. FÖRMÅGA ATT ARBETA I GRUPP OCH ATT KOMMUNICERA
3.1 Arbete i grupp
Laborationer i 2-grupp
3.2 Kommunikation
Skriftlig presentation
3.3 Kommunikation på främmande språk
X
Använder gymnasieengelska, introducerar reglerteknisk terminologi på engelska
4. PLANERING, UTVECKLING, REALISERING OCH DRIFT AV TEKNISKA PRODUKTER OCH SYSTEM MED HÄNSYN TILL AFFÄRSMÄSSIGA OCH SAMHÄLLELIGA BEHOV OCH KRAV
4.1 Samhälleliga villkor, inklusive ekonomiskt, socialt och ekologiskt hållbar utveckling för kunskapsutveckling
X
Reglerteknikens roll i system, produkter och processer
4.2 Företags- och affärsmässiga villkor
4.3 Att identifiera behov samt strukturera och planera utveckling av produkter och system
X
X
X
Begränsningar för reglersystem
4.4 Att konstruera produkter och system
X
X
X
Konstruktion av reglersystem
4.5 Att realisera produkter och system
X
Implementering på labprocesser
4.6 Att ta i drift och använda produkter och system
5. PLANERING, GENOMFÖRANDE OCH PRESENTATION AV FORSKNINGS- ELLER UTVECKLINGSPROJEKT MED HÄNSYN TILL VETENSKAPLIGA OCH SAMHÄLLELIGA BEHOV OCH KRAV
5.1 Samhälleliga villkor, inklusive ekonomiskt, socialt och ekologiskt hållbar utveckling
5.2 Ekonomiska villkor för kunskapsutveckling
5.3 Att identifiera behov samt strukturera och planera forsknings- eller utvecklingsprojekt
5.4 Att genomföra forsknings- eller utvecklingsprojekt
5.5 Att redovisa och utvärdera forsknings- eller utvecklingsprojekt

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