Università di Pavia - Offerta formativa

AUTOMATIC CONTROL

Enrollment year

2020/2021

Academic year

2021/2022

Regulations

DM270

Academic discipline

ING-INF/04 (AUTOMATICS)

Department

DEPARTMENT OF ELECTRICAL,COMPUTER AND BIOMEDICAL ENGINEERING

Course

ELECTRONIC AND COMPUTER ENGINEERING

Curriculum

PERCORSO COMUNE

Year of study

2°

Period

1st semester (27/09/2021 - 21/01/2022)

ECTS

12

Lesson hours

154 lesson hours

Language

Italian

Activity type

WRITTEN TEST

Teacher

Prerequisites

Knowledge acquired in the courses of Mathematics, Geometry and Algebra, Mathematical Methods, Theory of circuits, Physics I.

Learning outcomes

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.

Course contents

Continuous time dynamic systems.

Classification of dynamic systems, equilibrium, linear systems, linearization, stability.

Continuous time invariant linear systems.

Equilibrium, stability of nonlinear systems. Reachability, observability and canonical decomposition.

Transfer Functions

Definition and properties, representation and parameters, step response, realization.

Block diagrams.

Frequency response.

Identification of the frequency response, Bode diagrams.

Analysis of continuous-time control systems

Control in the neighbourhood of an equilibrium. General feedback control diagram. Control system nominal and robust stability. Bode criterion. Polar and Nyquist diagrams. Nyquist criterion, gain margin and margin phase, sensitivity analyzes.

Summary of continuous-time control systems

Requirements and specifications, methods of synthesis, stabilizing networks.

Root locus.

Industrial controllers

Model and industrial implementation of PID controllers (Proportional-Integral-Derivatives).

Simulation and control with the help of Matlab / Simulink.

Classification of dynamic systems, equilibrium, linear systems, linearization, stability.

Continuous time invariant linear systems.

Equilibrium, stability of nonlinear systems. Reachability, observability and canonical decomposition.

Transfer Functions

Definition and properties, representation and parameters, step response, realization.

Block diagrams.

Frequency response.

Identification of the frequency response, Bode diagrams.

Analysis of continuous-time control systems

Control in the neighbourhood of an equilibrium. General feedback control diagram. Control system nominal and robust stability. Bode criterion. Polar and Nyquist diagrams. Nyquist criterion, gain margin and margin phase, sensitivity analyzes.

Summary of continuous-time control systems

Requirements and specifications, methods of synthesis, stabilizing networks.

Root locus.

Industrial controllers

Model and industrial implementation of PID controllers (Proportional-Integral-Derivatives).

Simulation and control with the help of Matlab / Simulink.

Teaching methods

Theoretical face-to-face lectures, blackboard exercises, Matlab exercises on the computer, and an exercise conducted on a laboratory process are provided.

Reccomended or required readings

P. Bolzern, R. Scattolini, N. Schiavoni. Fondamenti di controlli automatici. McGraw Hill Italia.

Assessment methods

The written exam consists of two parts. The first part deals with the analysis of dynamic systems, while the second concerns the analysis of closed-loop dynamic systems and controller synthesis. It is necessary to obtain an evaluation of at least 18/30 on both parties. The overall evaluation is obtained by averaging the votes obtained in the two parts; the two parts can also be supported in different appeals; You can also add up to 3 points to be achieved during the Matlab exercises. In any case, it is possible to achieve the maximum of votes even only with the script.

Further information

Sustainable development goals - Agenda 2030