Automatic Control, 6 credits (TSRT12)

Reglerteknik, 6 hp

Main field of study

Electrical Engineering

Level

First cycle

Course type

Programme course

Examiner

Anders Hansson

Director of studies or equivalent

Johan Löfberg
Course offered for Semester Period Timetable module Language Campus VOF
6CDDD Computer Science and Engineering, M Sc in Engineering 6 (Spring 2017) 1 1 Swedish Linköping o
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 6 (Spring 2017) 1 1 Swedish Linköping o
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 6 (Spring 2017) 1 1 Swedish Linköping o
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 6 (Spring 2017) 1 1 Swedish Linköping o
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 6 (Spring 2017) 1 1 Swedish Linköping o
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 6 (Spring 2017) 1 1 Swedish Linköping o
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering 6 (Spring 2017) 1 1 Swedish Linköping o
6KMAT Mathematics 6 (Spring 2017) 1 1 Swedish Linköping v
6KMAT Mathematics (Applied Mathematics) 6 (Spring 2017) 1 1 Swedish Linköping v
6CIII Industrial Engineering and Management, M Sc in Engineering (Electrical Engineering Specialization) 4 (Spring 2017) 1 1 Swedish Linköping o
6CIII Industrial Engineering and Management, M Sc in Engineering 4 (Spring 2017) 1 1 Swedish Linköping v
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - French (Specialization Electrical Engineering) 4 (Spring 2017) 1 1 Swedish Linköping o
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - French 4 (Spring 2017) 1 1 Swedish Linköping v
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Japanese (Specialization Electrical Engineering) 4 (Spring 2017) 1 1 Swedish Linköping o
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Japanese 4 (Spring 2017) 1 1 Swedish Linköping v
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Spanish (Specialization Electrical Engineering) 4 (Spring 2017) 1 1 Swedish Linköping o
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Spanish 4 (Spring 2017) 1 1 Swedish Linköping v
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - German (Specialization Electrical Engineering) 4 (Spring 2017) 1 1 Swedish Linköping o
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - German 4 (Spring 2017) 1 1 Swedish Linköping v
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Chinese (Specialization Electrical Engineering) 4 (Spring 2017) 1 1 Swedish Linköping o
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Chinese 4 (Spring 2017) 1 1 Swedish Linköping v

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 ExaminationU, 3, 4, 54.5 credits
LAB1Laboratory WorkU, G1.5 credits

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

Preliminär schemalagd tid: 64 h
Rekommenderad självstudietid: 96 h

Course literature

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

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. 

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Page responsible: Study information, bilda@uf.liu.se