Biological Automatic Control, 6 credits (TSRT03)

Reglerteknik, 6 hp

Main field of study

Biotechnology Electrical Engineering


First cycle

Course type

Programme course


Johan Löfberg

Director of studies or equivalent

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

Main field of study

Biotechnology, Electrical Engineering

Course level

First cycle

Advancement level


Course offered for

  • Chemical Biology, M Sc in Engineering
  • Engineering Biology, 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.


Linear Algebra, Calculus

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, Nyquist diagram, stability analysis using Bode and Nyquist 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.


LAB1Laboratory workU, G1.5 credits
TEN1Written examinationU, 3, 4, 54.5 credits


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

Other information

Supplementary courses: 


Institutionen för systemteknik

Director of Studies or equivalent

Johan Löfberg


Johan Löfberg

Course website and other links

Education components

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

Course literature

Additional literature

Glad T., Ljung L., (2006) Reglerteknik. Grundläggande teori.

Additional literature


Glad T., Ljung L., (2006) Reglerteknik. Grundläggande teori.


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

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