EL1000 Automatic Control, General Course 6.0 credits

Reglerteknik, allmän kurs

An introductory course on control systems. It provides the students with the basic engineering knowledge of dynamic systems and feedback.

  • Education cycle

    First cycle
  • Main field of study

    Electrical Engineering
  • Grading scale

    A, B, C, D, E, FX, F

Course offerings

Autumn 19 for programme students

Autumn 19 Industrisam. for programme students

  • Periods

    Autumn 19 P1 (6.0 credits)

  • Application code


  • Start date


  • End date


  • Language of instruction


  • Campus

    KTH Campus

  • Tutoring time


  • Form of study


  • Number of places

    No limitation

  • Course responsible

    Bo Wahlberg <bo@kth.se>

  • Teacher

    Bo Wahlberg <bo@kth.se>

  • Target group


Autumn 18 for programme students

Intended learning outcomes

After the course the student should be able to describe and explain how feedback mechanisms affect system properties such as stability, speed of response, precision, sensitivity and robustness. Furthermore, the student should be able to analyze and design feedback systems with respect to these properties.

In particular, after the course the student should be able to:

  • Describe and explain basic concepts and problems within control theory, such as block diagrams, inputs and outputs, transfer functions, poles, zeros, impulse response, step response, frequency response, stability feedback control, and feed forward control.
  • Based on a model in terms of nonlinear differential equations, derive linear system descriptions in the form of transfer functions, frequency responses and state space models.
  • Analyze a linear system description with respect to dynamic properties, such as stability, damping, speed of response, precision, disturbance sensitivity, robustness.
  • Analyze how a given feedback control law affects the above mentioned properties.
  • Design a feedback control law that provides desired dynamic properties based on compensation in the frequency domain, pole placement and feedback from observed states.
  • Give examples on applications of control systems in different technical areas.
  • Use control terminology in Swedish and English.

Course main content

Fundamental concepts and problem areas. Representation of dynamic systems: Differential equation models. Transfer functions. Analysis of feedback control systems: Stability. Root-locus. Nyquist and Bode diagrams. Accuracy. Speed of response. Robustness and sensitivity. Synthesis of simple control systems: Specifications. PID-controllers. Lead-lag compensation. State space models. State feedback. Pole placement. Observers. Digitally implemented controllers.


Basic eligibility

Recommended prerequisites

SF1683 Differential equations and transforms, or EQ1110 Continuous time signals and systems, or equivalent


Glad och Ljung, Reglerteknik – grundläggande teori, 4:e upplagan, Studentlitteratur, 2006.


  • LABA - Laboratory Work 1, 1.0, grading scale: P, F
  • LABB - Laboratory Work 2, 2.0, grading scale: P, F
  • LABC - Computer Project, 2.0, grading scale: P, F
  • TENA - Examination, 1.0, grading scale: A, B, C, D, E, FX, F

Requirements for final grade

TEN 1 cr, LABA 1 cr, LABB 2.0 cr, LABC 2 cr

Offered by

EECS/Intelligent Systems


Bo Wahlberg


Bo Wahlberg <bo@kth.se>

Elling W Jacobsen <jacobsen@kth.se>

Henrik Sandberg <hsan@kth.se>

Supplementary information

TEN, 1p, LAB1, 1p, LAB2, 2p, LAB3, 2p

Add-on studies

  • EL2820 Modelling of Dynamic Systems
  • EL2620 Nonlinear Control
  • EL2520 Control Theory and Practice, Advanced Cours
  • EL2421 Automatic Control, Project Course
  • EL2450 Hybrid and Embedded Control Systems.
  • EL2700 Model Predictive Control
  • EL2800 Stochastic Control and Optimization


Course syllabus valid from: Spring 2019.
Examination information valid from: Spring 2019.