Control Systems Synthesis

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

Two times per week two hours of lectures.

Independent assignments

5 homework assignments as preparation for laboratory exercises.

Laboratory

Laboratory exercises comprise 5 exercises. Each exercise is worth 3 points: 1 point for homework which is evaluated during the exercise, 0.5 for the laboratory work and 1.5 for a quiz written at the end of the exercise.

Grading Method

Continuous Assessment Exam
Type Threshold Percent of Grade Threshold Percent of Grade
Laboratory Exercises 0 % 2.5 % 0 % 2.5 %
Homeworks 0 % 5 % 0 % 5 %
Quizzes 0 % 7.5 % 0 % 7.5 %
Class participation 0 % 5 % 0 % 5 %
Mid Term Exam: Written 0 % 35 % 0 %
Final Exam: Written 0 % 45 %
Exam: Written 0 % 60 %
Exam: Oral 20 %
Comment:

To pass the course student must achieve at least 50 points, of which at least 40 points must be from the midterm exam and final exam (Continuous Assessment) or 30 points from the written exam (Exam).

Week by Week Schedule

  1. Process of control system design
  2. Control system objectives, models and structures, Loop shaping; Lead and lag compensator
  3. Loop shaping; Lead and lag compensator
  4. Linear algebraic methods (model matching, pole placement, Diophantine equation)
  5. Linear algebraic methods (model matching, pole placement, Diophantine equation)
  6. Ploting of root loci: amplitude and phase condition
  7. Controller design using the Root-Locus method
  8. Midterm exam
  9. Controlability and observability of LTI systems
  10. Pole placement; Ackerman formula; Dead-beat controller
  11. Separation principle (state feedback and state observers)
  12. Linear quadratic regulator
  13. Cascade control systems, Magnitude optimum
  14. Magnitude optimum, Symmetric optimum
  15. Final exam

Study Programmes

University graduate
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Computer Engineering (profile)
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Computer Science (profile)
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Core-elective courses 1 (1. semester)
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Electrical Power Engineering (profile)
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Electric Machines, Drives and Automation (profile)
Elective Courses of the Profile (1. semester)
Electronic and Computer Engineering (profile)
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Electronics (profile)
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Literature

Mato Baotić (2016.), Sinteza linearnih sustava upravljanja, Sveučilišni priručnik, Sveučilište u Zagrebu Fakultet elektrotehnike i računarstva
Chi-Tsong Chen (1999.), Linear System Theory and Design; 3rd edition, Oxford University Press
Katsuhiko Ogata (1997.), Modern controle engineering; 3rd edition, Prentice-Hall
Zoran Vukić, Ljubomir Kuljača (2005.), Automatsko upravljanje - analiza linearnih sustava, Kigen d.o.o. Zagreb

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