Control

Code:

L.EEC020

Acronym:

CONT

Keywords
Classification	Keyword
OFICIAL	Basic Sciences for Electrotechnology

Instance: 2022/2023 - 2S

Active?	Yes
Responsible unit:	Department of Electrical and Computer Engineering
Course/CS Responsible:	Bachelor in Electrical and Computer Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L.EEC	276	Syllabus	2	-	6	52	162

Teaching language

Portuguese

Objectives

This course unit aims to integrate the knowledge acquired in the course units of Circuits Theory and Signal Theory in the more comprehensive perspective of Control Theory in a context of engineering applications.

Learning outcomes and competences

At the end of this course unit, students should be capable of:

1- determining equations of elementary systems of various areas of engineering and be capable of identifying the type of response, both time and frequency response.

2- Understanding the notions related with feedback and analysing the behaviour of time and frequencies.

3- Designing and calibrating controllers.

4- Representing systems in state space. Analyze their
controllability and observability. Use these concepts
to design linear feedback controllers and estimators.

Working method

Presencial

Pre-requirements (prior knowledge) and co-requirements (common knowledge)

Mathematical Analysis, Algebra, Signal Theory

Program

1- Modelling; time response of oipen loop systems.                                                      
Elementary models for mechanical, electrical and hydraulic systems. Time domain analysis of the impulse and step response of first and second order via Laplace transform. Similar analysis for higher order systems. Stability. Routh-Hurwitz stability criterium.

2- Frequency domain analysis                                            Bode diagrams for elementary transfer functions. Bode diagrams for general transfer functions. Effect of zeroes in frequency response

3- Feedback systems analysis                                            Notion of feedback system; Block diagram of a feedback system; Block diagram algebra; Manipulation of block diagrams;

4- Performance analysis of feedback systems in steady state                                                  
Position, velocity and acceleration errors.

5- Performance analysis of feedback systems using root locus method                                     
Introduction to the root locus method; Characteristic equation and root trajectory; Amplitude and angle; Rules for the root locus design.

6- Performance analysis of feedback systems in the frequency domain                              
Introduction; Polar and Nyquist path; Nyquist stability criterion; Relative stability: notions of gain and phase margin.

7- Compensation in time and frequency domains
PID controllers.

8-State Space
State-space representations of linear, invariant dynamical systems (in time and in the Laplace domain). Calculation of the temporal response. Controllability and observability. Controller design (placement of the closed loop poles) by linear state feedback. Design of linear state estimators.

Mandatory literature

J. L. Martins de Carvalho; Sistemas de controle automático. ISBN: 85-216-1210-9
J. L. Martins de Carvalho; Dynamical systems and automatic control. ISBN: 0-13-221755-4
Ogata, Katsuhiko; Discrete-time control systems. ISBN: 0-13-216227-X
Ogata, Katsuhiko; Modern Control Engineering. ISBN: 0-13-598731-8

Complementary Bibliography

G.F. Franklin, J.D. Powell, A. Emami-Naeini; Feedback Control of Dynamic Systems, Pearson Higher Education, 2010. ISBN: 978-0-13-500150-9

Teaching methods and learning activities

Lectures: presential learning

Exercise classes: presentation of problems and problem solving; answer to students’ questions and discussion of previously selected exercises.

Software

Matlab

keywords

Technological sciences > Engineering > Process engineering > Process control
Technological sciences > Engineering > Control engineering

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Designation	Weight (%)
Exame	70,00
Participação presencial	30,00
Total:	100,00

Amount of time allocated to each course unit

Designation	Time (hours)
Estudo autónomo	111,00
Frequência das aulas	51,00
Total:	162,00

Eligibility for exams

According to the Faculty's rules, admission to the exams is only allowed if the following condition is satisfied:

Not missing more than 1/4 of the scheduled exercise classes.
Have a satisfactory individual participation in the course (this will be defined at the beginning of the semester).


Remark: The individual participation in the course may consist in quizzes to be taken outside the class, in case the classroom is not equipped with computers.

Calculation formula of final grade

In the first exam round, the final mark is equal given by the formula:

0.7 x (final exam mark) + 0.3 x (individual participation in the classes)

Depending on the circumstances, the following rule may be applied: students can only obtain a higher grade than 18/20 if they attend an oral exam. This will take place after resit season.

Classification improvement

Students who want improve their grades will have to take a written exam worth 20 points.