The course aims to provide the basics of control theory. Classes are divided in two main areas.  The firmer focuses on the definition of the fundamental properties of dynamical systems along with the main methods to describe and model them. The latter is oriented to the controller synthesis. It presents the main methods to design basic control schemes addressing simple given requirements.

Module 1 - System theory 

Introduction to control problems. Mathematical modeling of physical systems. Definition of dynamical systems. State-space models. Trajectories and equilibria. Stability:  Stability of linear time-invariant systems. Transfer functions. Step response. Frequency response. Bode diagrams.

Module 2 - Design of control systems

Feedback control schemes. Block algebra. Control specifications. Bode stability criteria. Static, dynamic and robust performance. Sensitivity functions. Proportional controller and  Root locus. Control design in the frequency domain.