Control Systems Synthesis

  • Class 60
  • Practice 12
  • Independent work 78
Total 150

Course title

Control Systems Synthesis

Lecture type


Course code






Lecturers and associates

Course objectives

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

Required reading

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 control engineering; 3rd edition, Prentice-Hall
Zoran Vukić, Ljubomir Kuljača (2005.), Automatsko upravljanje - analiza linearnih sustava, Kigen d.o.o. Zagreb

Minimal learning outcomes

  • Design controller with frequency design methods
  • Design lead and lag compensators
  • Apply root-locus method for analysis and synthesis
  • Analyze controllability and observability of linear systems
  • Design state-space controller and appropriate (deterministic) observer
  • Design linear quadratic regulator
  • Design cascade control system
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