OBIETTIVI FORMATIVI

Alla fine del corso lo studente sarà in grado di studiare le proprietà dei sistemi dinamici, simulare numericamente la loro evoluzione, formulare e risolvere semplici problemi di controllo ottimo.

OBIETTIVI FORMATIVI (DETTAGLIO) E RISULTATI DI APPRENDIMENTO

The goal of the module is to make the student aware of basic notions of dynamic systems modelling and properties as well as of optimization with particular reference to the area of safety engineering. The main topics are the following: linear and nonlinear dynamics systems, state equations, basics on linear and nonlinear programming. A secondary goal is to make students able to numerically simulate dynamics systems and use the main solvers of optimization problems.

PREREQUISITI

Equazioni differenziali, algebra lineare.

MODALITA' DIDATTICHE

Oral examination.

PROGRAMMA/CONTENUTO

Essential notions of dynamic systems and linear/nonlinear programming with some application examples to transportation and logistics.

TESTI/BIBLIOGRAFIA

B.T. Kulakowski, J.F. Gardner, J. Lowen Shearer, Dynamic Modeling and Control of Engineering Systems, Cambridge University Press, 2007.

D. Bertsekas, Dynamic Programming and Optimal Control, Athena Scientific, 2012.

D. Bertsekas, Nonlinear Programing, Athena Scientific, 1999.