OVERVIEW

The course deals with methodologies for optimization and control of dynamical systems

AIMS AND CONTENT

LEARNING OUTCOMES

The course provides the main modelling and methodological tools to state and solve optimization and control problems for the management and industry engineering context. At the end of the course, the students will be able to determine the control strategies for a large class of problems and to implement these strategies with specific software.

AIMS AND LEARNING OUTCOMES

At the end of the course, the student will be able:

• to analyse the main characteristics of a dynamic system
• to know the most relevant control methodologies for dynamic systems
• to design controllers on the basis of prerequisites and desired performance indexes
• to implement these controllers with suitable software

PREREQUISITES

The main prerequisites are related to Systems Theory and Operations Research 

TEACHING METHODS

The teaching methods consist in frontal lessons by the teacher and team working activities in which the students must formalize and implement some control problems with specific software and discuss the results via sensitivity analysis and scenario evaluation

SYLLABUS/CONTENT

• Introduction to dinamic systems
• Continuous-time dynamic systems: state-space representation, model classification, properties 
• Discrete-time dynamic systems: state-space representation, model classification, properties 
• State feedback with measurable and non measurable state, PID regulators 
• Continuous-time optimal control: Hamilton-Jacobi theory, LQ problem
• Discrete-time optimal control: dynamic programming, LQ problem
• Model Predictive Control

RECOMMENDED READING/BIBLIOGRAPHY

• P. Bolzern, R. Scattolini, N. Schiavoni, Fondamenti di controlli automatici, Mc-Graw-Hill, 2004
• A. Locatelli, Optimal Control - An Introduction, Birkhauser, 2000
• D.P. Bertsekas, Dynamic Programming and Optimal Control, Athena Scientific, 2000
• J.M. Maciejowski, Predictive Control with Constraints, Prenctice Hall, 2002

TEACHERS AND EXAM BOARD

Exam Board

SILVIA SIRI (President)

CECILIA CATERINA PASQUALE

SIMONA SACONE (President Substitute)

LESSONS

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

The exam consists in an oral test. During the test, the student has to discuss a project or a team working activity carried out during the lessons; in the presentation the student must describe the definition and implementation of a control problem, by discussing in detail all the results. Moreover, the student must answer some open questions regarding the topics addressed in the course.

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 control problems for dynamic systems, with reference to interesting cases for management engineering, and the methods for their solutions

- ability to formalize and implement control problems

- ability to analyze the solutions and to evaluate alternative scenarios for the control of dynamic 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