Control Theory

Ac.Year:ukončen 2010/2011
Completion:accreditation+exam (written)
Type of
Hour/semLecturesSem. ExercisesLab. exercisesComp. exercisesOther
Guarantee:Vavřín Petr, prof. Ing., DrSc., DAME
Faculty:Faculty of Electrical Engineering and Communication BUT
Department:Department of Control and Instrumentation FEEC BUT
Signals and Systems (ISS), DCGM
Learning objectives:
  Design, using and managing simple control systems (feedforward as well as feedback).
  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.
Knowledge and skills required for the course:
  Variables in complex plane, numerical methods.
Learning outcomes and competences:
  To apply measuring and control systems. To design, use and maintain systems of applied infromatics. Automation of industry technologies.
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.
Study literature:
  • Vavřín, P.: Teorie řízení 1. VUT, 1991 (in Czech).
Controlled instruction:
  Reports of 3 projects, be present on 7 lab practices.
Progress assessment:
  Continuous evaluation in exercises.
Exam prerequisites:
  Presence at all practice. Three individual projects have to be done by each student.