Academic year
2022/2023 Syllabus of previous years
Official course title
Course code
CT0575 (AF:335293 AR:189831)
On campus classes
ECTS credits
Degree level
Bachelor's Degree Programme
Educational sector code
1st Semester
Course year
Go to Moodle page
This course is one of the compulsory educational activities of the Bachelor Degree Course in Physics Engineering, and allows the student to acquire the basics of the analysis of dynamic systems (models) and their stability, as well as automatic control systems. The first part of the course provides the theoretical foundations and introduces the mathematical tools for modeling linear dynamic systems in the time and Laplace domains. The second part of the course, on the other hand, is dedicated to the analysis of stability, through the theory of control. Some of the topics covered are multidisciplinary, therefore the knowledge acquired is also useful for other courses addressed by the student.
The main objective of the course is to provide students with the basic elements for the design of control systems, with particular reference to dynamic engineering models.

Knowledge and understanding
- Knoweldge about the basic principles of the functioning of the main components of a linear dynamic model
- Knoweldge about the basic principles of the operation of a feedback control system

Ability to apply knowledge and understanding
- Ability to perform a static / dynamic analysis of control systems for linear systems
- Ability to design control systems based on specific stability performances

Autonomy of judgment
- Ability to evaluate, among various possibilities, how to configure and design the structure of an automatic controller, based on the operating requirements imposed

Communication skills
- Ability to describe the main functions of a control system with technical and formal language

Learning skills
- Ability to use and interpret reference texts on dynamic and control systems
Having achieved the educational objectives of the previous Mathematics courses. In particular, the student should be able to master the concepts and methods related to the study of differential equations, functions of complex variables and elements of linear algebra
Introduction to the course and modeling of dynamic systems: objectives of automatic control (examples in the engineering field). Dynamics of control systems (transitory and stable conditions). Types of control systems (open loop, closed loop). Definition of discrete time signal and use of discrete time controllers. Continuous-time and discrete-time linear systems: time domain models, transfer functions, superposition principle of effects and stability. Step response (first order systems), block diagrams. Mathematical modeling of continuous / discrete time processes in engineering applications.
Frequency response analysis: definition and properties, link with the transfer function and time / frequency relationship. Representation by means of polar diagrams.
Sampled signal systems: sampling theory and choice of sampling frequency.
Control system requirements and analysis: stability, precision (steady state error, speed and overshoot), sensitivity to disturbances, robustness. Analysis of the stability of control systems: Nyquist and Bode criteria. Analyses
performance of control systems and their dependence on the ring transfer function. Design of regulators and correction networks. Notes on the use of Matlab for the analysis of dynamic systems and for the design of control systems.
Bolzern, Scattolini, Schiavoni: "Fondamenti di controlli automatici", McGraw Hill Libri Italia, III Edizione.
The achievement of the teaching objectives is assessed through participation in the activities and exercises assigned during the course and a final written exam (the oral exam is not mandatory and the professor will give indications about it).

The final written exam consists of problems similar to those carried out in the classroom during group work. During the task, the use of notes, books and other teaching materials is not allowed (the professor, eventually, will give details about the set of equations and formulas that can be used during the task). A facsimile of the task will be made available.
Seminars: limited lectures, group work (peer-teaching, problem solving)
Exercises: group work (peer-teaching, problem solving)
Definitive programme.
Last update of the programme: 25/04/2022