Facoltà di Ingegneria - Guida degli insegnamenti (Syllabus)

Elements of linear algebra, Rudiments of linear matricial algebra., elements of mathematical analysis, Laplace transform. Basic elements of linear system theory.

The purpose of the course is to provide the students with basic and advanced techniques for the analysis and synthesis of digital control systems.

The student will be able to analyse the technical specifications for the control systems, to choose the most appropriate approach to the synthesis problem, to realize the controller through the implementation of an algorithm.

A deep study of theoretical preliminaries and guided exercitations of laboratory, will provide the student with the necessary tools to face apparently different problems, in the same general framework. This didactic approach will increase the capability of critical analysis of the student, allowing him to evidence the main features of a class of problems which do not strictly belong to the classical control area. In this regard is enough to think to disciplines like: management of industrial production and to environment and biomedical engineering.

I -Structure and components of a discrete-time control system. -S-Z mapping -Stability analysis. -Transient and steady-state output response. -Design methods based on a discrete-time equivalent of an analog controller. -Design methods based on diophantine equations. -Eigenvalue assignment with state feedback and dynamic output feedback. - Elements of fuzzy theory with application to PID design

The exam consists of written and oral parts. The written part concerns the analysis and/or design of an industrial control system, possibly using software packages. Lecture notes and books are allowed to be looked at. The oral part consists in a deep discussion on the most important theoretical notions concerning analysis and design of a digital industrial control system.

The primary goal of the exam is to verify the student capability to autonomously evaluate the essential features of a control problem and to recognize the most appropriate tools to solve it.

The learning degree is evaluated through the grasp of the basic principles governing the classical approach to the analysis and synthesis of industrial control systems.

The maximum score is 30/30 and is assigned to students solving the given control problems in fully correct way and show a complete awareness oft the methodologies. The minimum score to overcome the exam is 18/30 and is assigned to students possessing the above requisites in a sufficient level. .

Lecture notes. -Isidori: Sistemi di Controllo, Siderea, Ro K.J. Astrom, B. Wittenmark,Computer Controlled Systems, Prentice-Hall Englewood-Cliffs,N.J.1984. -K. Ogata, Discrete-Time Control System, Prentice-Hall, Englewood-Cliffs,N.J., 1987. -R. Isermann: Digital Control Systems, Vol 1 e 2, Springer Verlag, Berlino,1989. -M.L. Corradini, G. Orlando, Controllo Digitale di Sistemi Dinamici, Franco Angeli, Milano, 2005. -D.Dubois, H. Prade, Possibility Theory- An Approach to Computerized Processing of Uncertainty, Plenum Press, N.Y., 1980.

- Ingegneria Informatica e dell'Automazione (Corso di Laurea Triennale (DM 270/04))

**Università Politecnica delle Marche**

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