Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Study Plan
This information is intended exclusively for students already enrolled in this course.If you are a new student interested in enrolling, you can find information about the course of study on the course page:
Laurea magistrale in Computer Engineering for intelligent Systems - Enrollment from 2025/2026The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
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2° Year It will be activated in the A.Y. 2025/2026
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3 modules among the following| Modules | Credits | TAF | SSD |
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3 modules among the following| Modules | Credits | TAF | SSD |
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4 modules among the following:
- 1st year: Advanced visual computing and 3d modeling, Computer vision, Embedded & IoT systems design, Embedded operating systems, Robotics
- 2nd year: Advanced control systemsLegend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Dynamic Systems (2024/2025)
Teaching code
4S009000
Teacher
Coordinator
Credits
6
Language
English
Scientific Disciplinary Sector (SSD)
ING-INF/04 - SYSTEMS AND CONTROL ENGINEERING
Period
Semester 1 dal Oct 1, 2024 al Jan 31, 2025.
Courses Single
Authorized
Learning objectives
The course aims to provide knowledge on the theoretical basis of the theory of dynamic systems, in the representation of state, with particular reference to the properties of time invariant linear systems and the methods for the synthesis of controllers for these systems. At the end of the course the student will have to demonstrate ability to apply the acquired knowledge: to provide the knowledge to analyze the structural properties of a linear dynamic system (e.g. reachability and observability) and its stability. Calculate the observability and reachability matrices; design a state feedback controller; design an asymptotic state observer; apply Lyapunov's theory of stability. The student must have the ability to define the technical specifications to design a controller for linear dynamic systems described by differential or difference equations. S/He will have to be able to deal with other engineers (e.g. electronic, automatic, mechanical) to design advanced controllers for complex electromechanical systems. It will have to show ability to continue studies independently in the field of designing robust and optimal controllers for linear and non-linear systems.
Prerequisites and basic notions
Linear algebra, Calculus, Signals and Systems
Program
State models:
- AR, MA, ARMA models,
- input-state-output representation,
- definitions of state, causality, algebraic equivalence,
- state and output update map,
- exponential matrix and its properties,
- Jordan canonical form, characteristic polynomial, algebraic and geometric multiplicity,
- modes, their characteristics, simple/asymptotic/BIBO stability,
- Relation between state representation and Laplace and Z transforms,
- Transfer functions, eigenvalues and poles.
Stability in state models:
- equilibrium state,
- stability of an equilibrium state,
- Lyapunov stability criterion,
- Lyapunov equation,
- linearization and reduced Lyapunov criterion.
Reachability:
- main concepts and the reachability Gramian,
- state space control,
- standard form of reachability, canonical control form,
- PBH criterion of reachability,
- state feedback.
Observability:
- main concepts and observability Gramian,
- State estimation (open and closed loop),
- standard form of observability, canonical observation form,
- PBH criterion of observability.
- Duality
Didactic methods
The course will consist of lectures in the classroom, along with shared slides, notes and possible additional material that could be useful to deepen the topics, and practical exercises in the classroom
Learning assessment procedures
The exam will consist of a written test on the course topics. The exam will contain questions in the form of theoretical questions and exercises where it will be required to apply specific theoretical knowledge. Each question will contribute to the total score according to an additive metric that will be specified before the exam. Both the theoretical part and the exercise part must be sufficient.
If the written test is evaluated positively (>18), an optional oral test is foreseen. The overall score will be the mean of the oral and written tests scores.
Evaluation criteria
At the end of the course, the student must demonstrate that:
1. have fully understood the main issues inherent to the course, both in a continuous and discrete context.
2. have a critical view of the issues addressed during the course and the results obtained from the application of specific methods;
3. knowing how to apply the knowledge acquired to solve in an appropriate way certain engineering problems of varying degrees of complexity;
Both parts (written and oral optional) will be carefully evaluated, thus giving equal importance to the correctness and effectiveness of the solutions adopted in solving concrete problems, as well as to the understanding of theoretical concepts.
Criteria for the composition of the final grade
The final grade will be the average of the written grade and of the optional oral exam.
Exam language
Inglese / English
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