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.

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Course information

Content and learning outcomes

Course contents *

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.

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 Disposition

No information inserted

Literature and preparations

Specific prerequisites *

Basic eligibility

Recommended prerequisites

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

Equipment

No information inserted

Literature

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

Examination and completion

Grading scale *

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

Examination *

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

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Other requirements for final grade *

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

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

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Examiner

Elling W Jacobsen

Bo Wahlberg

Henrik Sandberg

Further information

Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web EL1000

Offered by

EECS/Intelligent Systems

Main field of study *

Electrical Engineering, Technology

Education cycle *

First cycle

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

Contact

Bo Wahlberg

Ethical approach *

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Supplementary information

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

In this course, the EECS code of honor applies, see:
http://www.kth.se/en/eecs/utbildning/hederskodex.