Develop an understanding of the elements of classical control theory. In particular understand: the concept of feedback and its properties; the concept of stability and stability margins; and the different tools that can be used to analyze the previous properties. Finally gain a working knowledge of the basic linear control design techniques.
teacher profile | teaching materials


Basic Concepts
Automatic control usefulness. Feedforward and feedback control. Block diagram. Mathematical models for dynamical systems. Systems taxonomy (linearity, stationarity, etc.). State definition.

Linear and Stationary System Analysis
Laplace transform and its properties. Inverse Laplace transform by partial-fraction expansion. Input-Output model of dynamical systems. Transfer function. Convolution. First- and Second-Order System Response. Natural response and forced response. Transient response and steady-state. Modes of the system. BIBO stability. Routh criterion for stability. Block diagram and their algebra.

Frequency Response
Definitions. Impulse Response. Step Response. Bode plot techniques. Nyquist plot techniques. Nichols plot techniques.

Feedback Systems Analysis
Closed-loop stability from open-loop frequency response. Nyquist stability criterion. Stability margins. Steady-state tracking and system type.

Closed-Loop Frequency Response
Design relations. PID Controller. Lead Compensator. Lag Compensator.

Core Documentation

Main Textbook

Roberto Vitelli, Massimiliano Petternella, Fondamenti di Automatica, Edizioni Efesto
Roberto Vitelli, Massimiliano Petternella, Fondamenti di Automatica, Edizioni Scientifiche Siderea

Additional Textbook
Giovanni Marro, Controlli Automatici, quarta edizione 1997, Zanichelli.

Reference Bibliography


Type of delivery of the course

Traditional Course


Optional Attendance

Type of evaluation

Written Examination