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## THEORY OF SYSTEMS

CODE 98177 2022/2023 9 cfu during the 3nd year of 10716 INGEGNERIA GESTIONALE (L-9) - GENOVA 9 cfu during the 2nd year of 10716 INGEGNERIA GESTIONALE (L-9) - GENOVA ING-INF/04 Italian GENOVA 2° Semester AULAWEB

## OVERVIEW

The course presents the basic notions and concepts related to the analysis and control of dynamic systems

## AIMS AND CONTENT

### LEARNING OUTCOMES

The aim of the course is to provide understanding, analytical skills and basic design methodologies regarding automatic systems and industrial automation.

### AIMS AND LEARNING OUTCOMES

The learning outcomes of the course refer to the capacity of

-        understanding the main features of the system dynamics;

-        knowing the formal representations of continuous-time and discrete-time linear time-invariant dynamic systems

-        knowing the structural properties of continuous-time and discrete-timelinear time-invariant dynamic systems, with main focus on stability properties

-        analyzing several stability properties of a given system;

-        verifying structural properties (reachability, observability) of a given system;

-        designing stabilizing actions possibly also aimed at improving the dynamics of continuous-time and discrete-time linear time-invariant systems, by means of algebraic feedback.

### PREREQUISITES

The course prerequisites refer to basic elements of the following courses:

Mathematics; Physics, Geometry

Aula lessons

### SYLLABUS/CONTENT

Dynamic systems: types and representations.

Generalized functions. Laplace transform: properties, rules, transformation and antitransformation, time limits theorems. Zeta transform: properties, rules, transformation and antitransformation, time limits theorems.

Internal representation and state variables: calculation of the transition function. Calculation of the transition function for linear stationary systems represented in SISO external form. Transfer function, impulse response, frequency response. Feedback and the effect on the poles.

Stability: structural stability and BIBO stability.

Definitions of reachability and observability: criteria and conditions. Effects on the structural properties of the blocks connections and of possible simplifications. Feedback and structural properties.

Sergio Rinaldi: Teoria dei sistemi, CLUP, Milano

Michele Aicardi: Appunti di Teoria dei sistemi, Genova

Luca Benvenuti, Alberto De Santis, Lorenzo Farina: Sistemi dinamici, McGraw-Hill

## TEACHERS AND EXAM BOARD

### Exam Board

SIMONA SACONE (President)

CECILIA CATERINA PASQUALE

SILVIA SIRI (President Substitute)

## LESSONS

### LESSONS START

https://corsi.unige.it/10716/p/studenti-orario

### Class schedule

All class schedules are posted on the EasyAcademy portal.

## EXAMS

Oral exam

### ASSESSMENT METHODS

During the exam the student has to solve numerical exercises and to explain the theoretical notions necessary for their solution

### Exam schedule

Date Time Location Type Notes
19/12/2022 14:00 GENOVA Scritto
09/01/2023 14:00 GENOVA Orale
25/01/2023 14:00 GENOVA Orale
13/02/2023 14:00 GENOVA Orale
05/06/2023 14:00 GENOVA Orale
26/06/2023 14:00 GENOVA Orale
17/07/2023 14:00 GENOVA Orale
04/09/2023 14:00 GENOVA Orale