35245 - Automatic Control Systems

Course Unit Page

Academic Year 2021/2022

Learning outcomes

The student knows the fundamental principles of operation of automatic controls in open and closed loop, how to use the main components in the control loops and how to process data for the determination of control strategies.

Course contents

Introduction to control systems

Continuous-time dynamic systems

Introduction to dynamical systems. Equilibrium, linearization, stability.

Laplace transform and

Laplace transform and transfer function of linear systems. System modes. Composition of systems’ block schemes.

Stability and responses of

Stability of linear systems. Temporal analysis of elementary systems (1st and 2nd
order). Influence of zeros in the temporal response.

Fourier series

Series and Fourier transforms. Steady state theorem and harmonic response function. Bode diagrams: rules for tracking diagrams of elementary and complex systems. Classification of systems (low pass, high, band, etc.). Spectrum of filtered signals.

The root locus

Sensitivity functions of feedback system

Controller design in the frequency domain

Specification analysis. Two-stage regulator design; Meeting static specifications. Trial and error project examples. Scenario analysis; Analysis of control structures.

Standard controllers

Lag networks. Lead networks. PID regulators.


P. Bolzern, R. Scattolini, N. Schiavoni, "Fondamenti di controlli Automatici'', McGraw-Hill.

Teaching methods

Frontal lessons with transparencies made available to students in advance

Assessment methods

Written exam, subsequent oral exam may be required by the teacher

Teaching tools


Office hours

See the website of Carlo Rossi