# 28630 - Control Systems T-A (A-K)

### Course Unit Page

• Teacher Maria Elisabetta Penati

• Credits 6

• Language Italian

• Campus of Bologna

• Degree Programme First cycle degree programme (L) in Engineering Management (cod. 0925)

## Learning outcomes

The course intends to discuss the fundamental principles of functioning of open-loop automatic control systems and feedback automatic control systems.

Elementary techniques will be introduced, as to:

-analysis of the characteristics of the SISO stationary linear dynamic systems

-synthesis of feedback control systems

-methods of utilization of the main components (actuators and sensors) in control loops.

## Course contents

A prior knowledge and understanding of basics of linear algebra, mathematical analisys and physics are required to attend this course with profit.Fluent spoken and written Italian is a necessary pre-requisite: all lectures and tutorials will be given in Italian. References to international editions of textbooks in English are also provided.

As to the contents:

1 General concepts:

- Historical notes. What automation is

- Concepts of material manipulation and symbolic manipulation

- Automatic control systems: open loop control and feedback control

- Examples of automatic control systems: position, velocity, level and temperature regulators.

2 Mathematical Models:

- The identification problem

- Parametric identification techniques

- Differential equations (and equation systems); Laplace transforms and anti-transforms

- Transfer function and impulsive response function

- Mathematical models of linear and stationary systems of input-output and of input-state-output type.

- Systems with dominant poles

3 Analysis in the time domain:

- Stability: Lyapunov and Routh criteria

- Insensitiveness to disturbances and parameter variations

- Parameters of the response to a step input

4 Synthesis in the time domain:

- Root locus; examples

- Standard regulators: analytic project.

5 Harmonic response function:

- Definition; link with impulsive response function

Representations: polar diagrams and Bode diagrams; examples.

6 Harmonic analysis:

- The Nyquist stability criterion for the stability of feedback systems

- The width margins and the phase margins for the analysis of dynamic behaviour

- Resonance peak and band width.

7 Synthesis in the frequency domain:

- corrective networks: analytic project

7 Control systems components:

- D. c. collector motors: series and independent excitation

- position and speed transducers

M.E. Penati, S. Simonini: Introduzione allo studio dei sistemi di controllo. Teoria, esercizi svolti e temi di esame. Esculapio, Bologna, 2017

## Teaching methods

Lectures aimed at throughout treatment of the course contents.Exercises aimed at deepening and applying the theoretical topics.

## Assessment methods

Achievements will be assessed through a final exam (lasting one hour and half).The purpose of the exams is to ascertain the comprehension of expected knowledge and expertise. No books, notes, or media tools are allowed.The written exams consists of 10 theoretical questions with multiple choice answers and one project organized in several subproblems of a numerical/application nature. Students pass the exam when they pass both the parts (which means 18/30 minimum mark). No conditions are imposed on the admission to the final exam.To obtain a passing grade, students are required to at least demonstrate a knowledge of the key concepts of the subject, some ability for critical application, and a comprehensible use of technical language.

## Teaching tools

An overview on tools for computer aided control system design.

## Office hours

See the website of Maria Elisabetta Penati