OVERVIEW

Systems' Theory is one of the first discipline where mathematical and real aspects of engineering meet. Different skills are integrated to build and analyze mathematical models representing actual systems, in order to understand, foresee and control their behaviour.

AIMS AND CONTENT

LEARNING OUTCOMES

The course aims to the modelling and understanding the behaviour of dynamic systems. Both time domain and tranfer matrices methods will be used for linear and stationary systems in continuous time. Some preliminaries on nonlinear systems will be treated at the end of the course.

AIMS AND LEARNING OUTCOMES

The course aims to the modelling and understanding the behaviour of dynamic systems. Both time domain and tranfer matrices methods will be used for linear and stationary systems in continuous time. Some preliminaries on nonlinear systems will be treated at the end of the course.

The course aims to provide the students the necessay methods to build mathematical models fo dynamic systems. On the basis of such tools, the analysis and control of the considered systems will be carried out.

At the end of the course, the student will be able to model and analyze in different situations 'real systems' and determine if and how the behaviour of such systems can be controlled in presence of different external stimuli.

The course aims to provide the students the necessay methods to build mathematical models fo dynamic systems. On the basis of such tools, the analysis and control of the considered systems will be carried out.

At the end of the course, the student will be able to model and analyze in different situations 'real systems' and determine if and how the behaviour of such systems can be controlled in presence of different external stimuli.

PREREQUISITES

Calculus, Algebra, Elements of geometry in the space.

Basic skills of physics, electricity.

TEACHING METHODS

Front lessons and solution of exercises.

Exercises are given to be solved by students at home in order to self-evaluating the comprehension of the subject.

SYLLABUS/CONTENT

1) Preliminary definitions

2) Continuous signals and generalized functions

3) Laplace Transform

4) State equations of linear stationary siystems

5) Stability

6) Reachability

7) Observability

8) Input-Output characteristics

9) Systems' interconnection

10) Models and analysis of nonlinear systems

Referring to the Sustainable Development Goals listed in the ONU Agenda 2030, this course faces modelling methods for dynamical systems, that can be applied in many different contexts, contributing to achieve many goals.  Referring to the scientific-technological context, it contributes to the following:
8.2 (Achieve higher levels of economic productivity through diversification, technological upgrading and innovation, including through a focus on high-value added and labour-intensive sectors)
9.5 (Enhance scientific research, upgrade the technological capabilities of industrial sectors in all countries, in particular developing countries, including, by 2030, encouraging innovation and substantially increasing the number of research and development workers per 1 million people and public and private research and development spending)

RECOMMENDED READING/BIBLIOGRAPHY

• Rinaldi Piccardi: I sistemi lineari: teoria ed applicazioni. CLUP
• Bolzern, Scattolini, Schiavoni: Fondamenti di Controlli Automatici, McGraw Hill
• Antsaklis Michell: Linear Systems

TEACHERS AND EXAM BOARD

LESSONS

LESSONS START

https://corsi.unige.it/9273/p/studenti-orario

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

Oral examination with solution of exercizes and discussion on theoretical aspects.

Students with learning disorders ("disturbi specifici di apprendimento", DSA) will be allowed to use specific modalities and supports that will be determined on a case-by-case basis in agreement with the delegate of the Engineering courses in the Committee for the Inclusion of Students with Disabilities.

ASSESSMENT METHODS

Starting from the solution of some exercises, the analysis of the properties of dynamic systems will be discussed using different methods.

The following aspects will be considered:

• ability in correctly communicating and demonstrating knowledge and comprehension on the subject;
• ability in correctly using methods introduced during the course to analyze properties of dynamical systems and to modify, when possible, their behavior;
• ability in giving motivations for chosen methods in the solution of exercises.