Popis predmeta

Course Description

Classification and structures of digital management systems. Mathematical modelling of digital control systems, aliasing, z-transformation. Discretization procedures and representations of digital control systems. Selection of sampling time and stability analysis procedure. Introduction to the synthesis of digital control systems. Synthesis of digital PID controller. Synthesis of the digital controller in the frequency domain and in the state space. Implementation aspects of digital controllers.

Learning Outcomes

  1. apply discretization approches of continuous dynamic systems
  2. analyze discrete systems dynamic behaviors
  3. design of digital controllers
  4. assess stabilty of digital control systems

Forms of Teaching

Lectures

Lectures will be given every week in the classroom for a duration of 4 school hours.

Exercises

Auditorium exercises will be given within the Lectures after the relevant part.

Laboratory

Laboratory exercises will be executed in the laboratory after the relevant part given in the Lectures.

Week by Week Schedule

  1. Classification of digital control systems, Structure of digital control systems
  2. Modeling of digital control system elements, Sampling, Antialiasing
  3. Z-transform, ZOH transformation, ZOH transformation in state-space
  4. Linking the continuous and dicrete pole planes, Modeling of digital control system elements
  5. Matched pole-zero discretization, Bilinear and Tustin transformation, Euler forward and backward discretization
  6. Difference equations, Transfer function of discrete control systems
  7. Block diagrams of discrete control systems, State-space representation of discrete control systems
  8. Midterm exam
  9. Time responses of dicrete control systems, Methods for determining the sampling frequency
  10. Stability from transfer function, Algebraic stability criteria (Jury and Routh-Hurwitz)
  11. Digital PID controller synthesis
  12. Digital controllers synthesis in frequency domain
  13. Synthesis of digital state-pace controllers
  14. Effect od sampling time selection, Effect of finite word length, Effect of A/D conversion, Effect of controller arithmetic: fixed point vs floating point, Effect of controller realization forms
  15. Final exam

Study Programmes

University graduate
Audio Technologies and Electroacoustics (profile)
Free Elective Courses (1. semester) (3. semester)
Communication and Space Technologies (profile)
Free Elective Courses (1. semester) (3. semester)
Computational Modelling in Engineering (profile)
Free Elective Courses (1. semester) (3. semester)
Computer Engineering (profile)
Free Elective Courses (1. semester) (3. semester)
Computer Science (profile)
Free Elective Courses (1. semester) (3. semester)
Control Systems and Robotics (profile)
Core-elective courses 1 (1. semester)
Data Science (profile)
Free Elective Courses (1. semester) (3. semester)
Electrical Power Engineering (profile)
Free Elective Courses (1. semester) (3. semester)
Electric Machines, Drives and Automation (profile)
Elective Courses of the Profile (1. semester) (3. semester)
Electronic and Computer Engineering (profile)
Free Elective Courses (1. semester) (3. semester)
Electronics (profile)
Free Elective Courses (1. semester) (3. semester)
Information and Communication Engineering (profile)
Free Elective Courses (1. semester) (3. semester)
Network Science (profile)
Free Elective Courses (1. semester) (3. semester)
Software Engineering and Information Systems (profile)
Free Elective Courses (1. semester) (3. semester)

Literature

(.), Gene F. Franklin, J. David Powell, Michael L. Workman (1997.), Digital Control of Dynamic Systems - Third Edition, Prentice Hall,
(.), Karl J. Astrom, Bjorn Wittenmark (1996.), Computer-Controlled Systems, Theory and Design, Prentice Hall,

For students

General

ID 222535
  Winter semester
5 ECTS
L3 English Level
L1 e-Learning
60 Lectures
12 Laboratory exercises

Grading System

Excellent
Very Good
Good
Acceptable

Learning Outcomes

  1. apply discretization approches of continuous dynamic systems
  2. analyze discrete systems dynamic behaviors
  3. design of digital controllers
  4. assess stabilty of digital control systems

Forms of Teaching

Lectures

Lectures will be given every week in the classroom for a duration of 4 school hours.

Exercises

Auditorium exercises will be given within the Lectures after the relevant part.

Laboratory

Laboratory exercises will be executed in the laboratory after the relevant part given in the Lectures.

Week by Week Schedule

  1. Classification of digital control systems, Structure of digital control systems
  2. Modeling of digital control system elements, Sampling, Antialiasing
  3. Z-transform, ZOH transformation, ZOH transformation in state-space
  4. Linking the continuous and dicrete pole planes, Modeling of digital control system elements
  5. Matched pole-zero discretization, Bilinear and Tustin transformation, Euler forward and backward discretization
  6. Difference equations, Transfer function of discrete control systems
  7. Block diagrams of discrete control systems, State-space representation of discrete control systems
  8. Midterm exam
  9. Time responses of dicrete control systems, Methods for determining the sampling frequency
  10. Stability from transfer function, Algebraic stability criteria (Jury and Routh-Hurwitz)
  11. Digital PID controller synthesis
  12. Digital controllers synthesis in frequency domain
  13. Synthesis of digital state-pace controllers
  14. Effect od sampling time selection, Effect of finite word length, Effect of A/D conversion, Effect of controller arithmetic: fixed point vs floating point, Effect of controller realization forms
  15. Final exam

Study Programmes

University graduate
Audio Technologies and Electroacoustics (profile)
Free Elective Courses (1. semester) (3. semester)
Communication and Space Technologies (profile)
Free Elective Courses (1. semester) (3. semester)
Computational Modelling in Engineering (profile)
Free Elective Courses (1. semester) (3. semester)
Computer Engineering (profile)
Free Elective Courses (1. semester) (3. semester)
Computer Science (profile)
Free Elective Courses (1. semester) (3. semester)
Control Systems and Robotics (profile)
Core-elective courses 1 (1. semester)
Data Science (profile)
Free Elective Courses (1. semester) (3. semester)
Electrical Power Engineering (profile)
Free Elective Courses (1. semester) (3. semester)
Electric Machines, Drives and Automation (profile)
Elective Courses of the Profile (1. semester) (3. semester)
Electronic and Computer Engineering (profile)
Free Elective Courses (1. semester) (3. semester)
Electronics (profile)
Free Elective Courses (1. semester) (3. semester)
Information and Communication Engineering (profile)
Free Elective Courses (1. semester) (3. semester)
Network Science (profile)
Free Elective Courses (1. semester) (3. semester)
Software Engineering and Information Systems (profile)
Free Elective Courses (1. semester) (3. semester)

Literature

(.), Gene F. Franklin, J. David Powell, Michael L. Workman (1997.), Digital Control of Dynamic Systems - Third Edition, Prentice Hall,
(.), Karl J. Astrom, Bjorn Wittenmark (1996.), Computer-Controlled Systems, Theory and Design, Prentice Hall,

For students

General

ID 222535
  Winter semester
5 ECTS
L3 English Level
L1 e-Learning
60 Lectures
12 Laboratory exercises

Grading System

Excellent
Very Good
Good
Acceptable