502477 - AUTOMATIC CONTROL

The course aims to provide students with the basic elements for the analysis and control of dynamic systems. After an introduction in which highlights the fundamental problems of the automatic control and the importance of mathematical models for the study of dynamical systems, the main results concerning dynamic systems in continuous time are introduced. Particular attention is given to "state concepts, stability, controllability, observability". The study of linear time invariant dynamic systems is then conducted in the domain of the Laplace transform, by introducing the concepts of "transfer function, block diagrams, frequency response". In the second part of the course it is introduce the problem of how to act on the input variables of a system, suitably described by a mathematical model, to achieve a particular behavior of the process. The main criteria for analysis and control synthesis for linear systems with a single input and a single output are introduced. It is given special attention to stability, noise attenuation and reference tracking. At the end of the course the student will be able to formulate and solve a control problem for systems with one input and one output using the techniques developed in the frequency domain. The course is complemented by a series of physical exercises during which various systems (electrical, mechanical, hydraulic, etc.) are described in precise mathematical terms and analyzed by applying methods learned in class.