AIMS AND CONTENT

LEARNING OUTCOMES

The course provides the basic notions regarding the theory of dynamical systems, their formal representation, the structural properties of systems and the concept of feedback.

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 linear time-invariant dynamic systems
• knowing the main properties of continuous-time linear time-invariant dynamic systems (stability, reachability, observability)
• designing simple regulators for continuous-time linear time-invariant systems (algebraic feedback, PID regulators)
• designing simple state observers (trivial observer, Luenberger observer)

Besides these learning outcomes, the student who will actively participate to lessons and team working activities can acquire the following  soft skills:

• social skills – basic level: capacity to manage social interactions, collaborative behaviour, constructive communication in different environments 
• capacity of learning to learn – basic level: awareness of the preferred learning stretegies, organization and evaluation of personal learning 

PREREQUISITES

The course prerequisites refer to the contents of the following courses: Mathematics; Physics, Geometry.

TEACHING METHODS

The teaching methods consist, first of all, in lessons by the teacher. Moreover, some team working activities will be organized in which the students will solve some exercises and implement some software under the supervision of the teacher. The team working activities will allow the students actively participating to acquire social skills (basic level) and the capacity of learning to learn (basic level).

SYLLABUS/CONTENT

• Dynamic systems: types and representations
• Introduction to continuous-time linear time-invariant systems 
• Laplace transform, inital and final value thorems
• Solution in input-output representation and in state-space representation 
• Stability
• Reachability and observability
• Representation with block connections 
• State and output feedback
• State estimation with observers 
• PID regulators

RECOMMENDED READING/BIBLIOGRAPHY

• P. Bolzern, R. Scattolini, N. Schiavoni, Fondamenti di controlli automatici, McGraw-Hill
• L. Benvenuti, A. De Santis, L. Farina, Sistemi dinamici. Modellistica, analisi e controllo, McGraw-Hill
• K. Ogata, L. Biagiotti, Fondamenti di controlli automatici, Pearson
• G. Marro, Controlli Automatici, Zanichelli

TEACHERS AND EXAM BOARD

Exam Board

SILVIA SIRI (President)

CECILIA CATERINA PASQUALE

SIMONA SACONE

LESSONS

EXAMS

EXAM DESCRIPTION

The exam is oral. During the exam, the student has to solve some numerical exercises and to discuss the theoretical aspects related to such exercises.

Students with learning disorders 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

The exam aims to verify the following aspects about the knowledge of the student:

- knowledge regarding the main characteristics and properties of dynamic systems and the design of simple regulators and state observers

- ability to apply this knowledge to numerical examples and simple physical systems

The evaluation of the exam will take into account not only the knowledge of the contents addressed in the course but also the reasoning and critical analysis skills of the student, as well as his/her capability to use a technical lexicon appropriate to the context.

Exam schedule