Control Theory

Code:

EEC0068

Acronym:

TCON

Keywords
Classification	Keyword
OFICIAL	Basic Sciences for Electrotechnology

Instance: 2012/2013 - 2S

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

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIEEC	439	Syllabus (Transition) since 2010/2011	2	-	6	63	162
		Syllabus	2	-	6	63	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.

Working method

Presencial

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                                                                                     Introduction to Bode diagrams. Bode diagrams for elementary transfer functions. Bode diagrams for general transfer functions. Effect of zeroes in frequency response

3- Feedback systems analysis                                                                                  Introduction; Notion of feedback system; Block diagram of a feedback system; Block diagram algebra; Rules for the simplification 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; Relationship between frequency responses of the open loop and of the closed loop system

7- Compensation in time and frequency domains

8- Introduction to the describing function method.

9- PID controllers

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

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: presentation of the program using the board

Exercise classes: presentation of problems and problem solving using the board; answer to students’ questions and discussion of homework; use of Matlab/Simulink software

Software

Matlab

keywords

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

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Midterm (optional)	Teste	2,00	30,00
Final exam	Exame	3,00	70,00
	Total:	-	100,00

Eligibility for exams

To be admitted to exams, students cannot miss more exercise classes than allowed by the rules.

Calculation formula of final grade

1- Ordinary students: the final grade will be based on the best grade of the following components:

a)- 0.3*Mini-test + 0.7 Final exam

b)- Final Exam

The grade of the mini-test will only be taken into account to the continuous assessment component and it cannot drop down final exam grade.

2- Comments: Students can only obtain a higher grade than 18 if they attend an oral exam. This will take place after resit season.

Special assessment (TE, DA, ...)

Students with a special status and who do not need to attend classes (according to line a) and b) of Article 4 of General Evaluation Rules of FEUP), have to attend an exam at any of the seasons. Exams for students who can attend exams at special seasons (line 5 of Article 6 of General Evaluation Rules of FEUP) may comprise an oral component. Students will be informed beforehand. Students, who attended this course in the previous year, will also be admitted to exams. They can attend the same exam as ordinary students. Their final grade will be based only on the grade of the exam. Comment: Students’ association leaders have to take the continuous assessment component. Students who enrol in theoretical-practical classes have to take the continuous assessment component. Students enrolled in theoretical-practical classes will only be admitted to exams, if they achieve a passing grade in the continuous assessment component, regardless of their status.

Classification improvement

Students, who want improve their grades in any of the seasons, will attend the same exam as ordinary students. Final grade will only be based on the grade of the exam not comprising continuous assessment grade.