Teacher

prof. Umberto VIARO

Credits

6 CFU

Language

Italian

Objectives

Purpose of the course is to present the main tools for the analysis of the behaviour of dynamic systems.

Acquired skills

- To understand and use properly the terminology of system and control theory.
- To construct mathematical models of physical systems.
- To determine the response of linear systems to specific inputs.
- To ascertain the stability of a dynamic system.
- To compute transient and state-state responses to canonical inputs.
- To determine and represent harmonic responses.
- To use simulation programs.

Lectures and exercises

Dynamic systems: causal linear time-invariant continuous-time and discrete-time dynamic systems (8 hours).
System representation: input-output and input-state-output models (8 hours).
System response: free and forced responses; system modes (6 hours).
Laplace transform: use of Laplace transforms; transfer function (8 hours).
Stability: definitions of stability; stability criteria (8 hours).
Steady state response: steady state response to canonical and sinusoidal inputs; harmonic response and its representations (8 hours).
Transient response: characterization of the transient response; performance indices (6 hours).
Simulation: introduction to the use of Matlab's Control System Toolbox (8 hours).
Exercises (18 hours).

References

- A. Ferrante, A. Lepschy, U. Viaro - Introduzione ai Controlli Automatici - UTET, Torino 2000
- E. Borgatti, U. Viaro - Esercizi Elementari di Controlli Automatici - Patron Editore, Bologna 1998

Type of exam

Written and oral