The course addresses the fundamentals of dynamical systems analysis and of the design of simple analog and digital feedback controllers.

- Knowledge of the concept of dynamical system together with its mathematical representations such as state equations and transfer functions. - Skill in deriving mathematical models of dynamical systems. - Skill in computing the solution of the system state equations. - Skill in evaluating the behavior of a dynamical system through numeric simulation. - Knowledge of structural properties (stability, reachability, observability) of dynamical systems. - Knowledge of the concept of feedback control of dynamical systems. - Skill in designing feedback controllers via (estimated) state feedback. - Knowledge of the main performance requirements of feedback systems. - Knowledge of the main feedback system analysis techniques based on harmonic tools. - Skill in analyzing the stability and the performances of feedback control systems. - Knowledge about industrial controllers (PID). - Knowledge about sampled data control systems and realization through digital filters. - Skill in designing sampled data control systems. - Skill in evaluating the behavior and performances of controlled systems through numerical simulation.

Requirements: differential and integral calculus of vector valued real functions, basic concepts of physics mechanics, electric circuits, complex numbers, real rational functions, linear algebra.

- Introduction to dynamical systems. - Modeling and state space description. - Solution of state equations. - Modal analysis - Stability of linear systems. - Block algebra. - Reachability (controllability) and observability. - Introduction to feedback control. - Control through feedback of the estimated states - Bode, polar and Nyquist diagrams. - Nyquist stability criterion. - Stability margins. - Feedback systems response due to polynomial inputs; steady state tracking errors, disturbance attenuation and rejection. - Time and frequency response of first and second order systems. - Feedback systems performance: transient and steady state. - Industrial controllers (PID). - Discrete-time systems. Analysis and design of sampled data control systems.

Lectures will be concerned with theoretical topics, numerical examples and solved problems. LAB exercises will also be carried out, based on the Matlab/Simulink software. The LAB sessions will be focused on the development of academic and applicative examples, some of which are taken from the automotive field.

G.F. Franklin, J.D. Powell, A. Emami-Naeini, Feedback Control of Dynamic Systems, Prentice Hall, 2009. Nise, Control systems engineering, Wiley, 4th ed., 2004. K. Ogata, Modern Control engineering, Prentice Hall, 4th ed., 2004. G. Calafiore, Elementi di Automatica, CLUT, 2007. Lecture slides are available as well as laboratory practice handouts.

Modalità di esame: Test informatizzato in laboratorio;

Exam: Computer lab-based test;

... Written examination (carried out with the help of the PC and the MATLAB software) with multiple choice and design exercises. Duration of the exam: 2 hours. Allowed material: a unique A4 sheet with formulas (no exercise solutions or MATLAB programs are allowed); tables with Laplace transforms.

Gli studenti e le studentesse con disabilità o con Disturbi Specifici di Apprendimento (DSA), oltre alla segnalazione tramite procedura informatizzata, sono invitati a comunicare anche direttamente al/la docente titolare dell'insegnamento, con un preavviso non inferiore ad una settimana dall'avvio della sessione d'esame, gli strumenti compensativi concordati con l'Unità Special Needs, al fine di permettere al/la docente la declinazione più idonea in riferimento alla specifica tipologia di esame.