OVERVIEW

The course provides the foundations for the study of the dynamics of mechanical systems under the assumption of linearity and for the synthesis of control systems.

AIMS AND CONTENT

LEARNING OUTCOMES

The aim of the course is to provide the tools to study the dynamics of mechanical systems with linear models, single-input/single-output, introducing the concepts of open-loop and closed-loop, and the criteria to assess the behaviour of servomechanisms. The fundamentals of digital automation systems are presented.

AIMS AND LEARNING OUTCOMES

The course aims to provide students with the basic concepts of linear systems theory, with particular reference to single input and output (SISO) systems, through both time-domain and frequency-domain analysis (using the Laplace transform). The concept of open-loop and closed-loop systems (control loop) is introduced, and the basic notions of closed-loop controller synthesis are provided. By the end of the course, the student should be able to 1) analyze the model of an open-loop dynamic system using linear systems theory, 2) design a controller suitable for the application based on requirements of accuracy, responsiveness, and stability, and 3) verify the stability properties of the closed-loop system in the presence of disturbances.

PREREQUISITES

Basic concepts of Mathematical Analysis and Linear Algebra without formal prerequisites.

TEACHING METHODS

The course consists of lectures, totaling approximately 50 hours, including both theory and practice.

SYLLABUS/CONTENT

1) General introduction to dynamic systems; 2) linear time-invariant (LTI) systems: state equations, free response, forced response in transient and steady-state; 3) Laplace transform and inverse transform; 4) transfer function, poles, and zeros of an LTI system with a single input and output (SISO); 5) frequency response; 6) Bode plot and its asymptotic sketching; 7) Nyquist plot; 8) stability of closed-loop LTI SISO systems; 9) phase margin and gain margin; 10) steady-state error; 11) bandwidth and specifications for controlled systems in the presence of noise.

RECOMMENDED READING/BIBLIOGRAPHY

1) P. Bolzern, R. Scattolini, N. Schiavoni, Fondamenti di controlli automatici, McGraw-Hill Education, 2025.
2) P.J. Antsaklis,  A.N. Michel, Linear Systems, Birkauser, 2006.

TEACHERS AND EXAM BOARD

LESSONS

LESSONS START

https://corsi.unige.it/en/corsi/8784/studenti-orario

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

The exam consists of a written part (with a maximum score of 27/30) and an oral part, at the discretion of the instructor.

ASSESSMENT METHODS

Details on the exam preparation methods and the depth of coverage for each topic will be provided during the lessons.