Course details

Control Theory

IRR1 Acad. year 2010/2011 Summer semester 6 credits

Current academic year

Basic terms is Control Theory. Feedforward and feedback control. Simple on-off and proportional control(continuous and discrete type). Stability of feedback systems. Steady state and dynamic errors. Root locus method and frequency analysis. PID controllers. Systems with multi feedback loops.


Language of instruction



Credit+Examination (written)

Time span

39 hrs lectures, 10 hrs exercises, 8 hrs laboratories, 8 hrs pc labs

Assessment points

70 exam, 30 projects


Subject specific learning outcomes and competences

To apply measuring and control systems. To design, use and maintain systems of applied infromatics. Automation of industry technologies.

Learning objectives

Design, using and managing simple control systems (feedforward as well as feedback).


Prerequisite kwnowledge and skills

Variables in complex plane, numerical methods.

Study literature

  • Vavřín, P.: Teorie řízení 1. VUT, 1991 (in Czech).

Syllabus of lectures

  1. Introduction. Examples of feedforward and feedback control.
  2. On-off control for dynamic systems.
  3. Regulators, servo control and program control.
  4. Descriptions of static and dynamic properties. I/O approach.
  5. State variables, state space.
  6. Stability of linear feedback systems.
  7. Analysis of static and dynamic errors in control systems.
  8. Root locus method.
  9. P and I controllers.
  10. PID control.
  11. Sampled data control systems.
  12. Discrete PSD controllers.
  13. Multi loop systems.

Syllabus of numerical exercises

  • Block diagram algebra. Typical transfer functions.
  • Steady state errors. Integral criterion of control.
  • Stability by Bode diagram and algebraic methods.
  • Analysis and design of PID controller.
  • Evaluation of study activities.

Syllabus of laboratory exercises

  • Examples of control systems used in industry.
  • Continuous control with PID controller.
  • Discrete PSD control with microprocessor.
  • Using of this controller for PSD and dead-bead control.

Syllabus of computer exercises

  • Matlab-Simulink for simulation, analysis and design.
  • Simulation of on-off, P and PID control.
  • Bode analysis and design.
  • Root locus method.

Progress assessment

Continuous evaluation in exercises.

Controlled instruction

Reports of 3 projects, be present on 7 lab practices.

Exam prerequisites

Presence at all practice. Three individual projects have to be done by each student.

Course inclusion in study plans

  • Programme IT-BC-3, field BIT, any year of study, Elective
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