Control Theory

Code:

EEC0068

Acronym:

TCON

Keywords
Classification	Keyword
OFICIAL	Basic Sciences for Electrotechnology

Instance: 2010/2011 - 2S

Active?	Yes
Responsible unit:	Fundamental Sciences and Electrotechnics
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	430	Syllabus (Transition) since 2010/2011	2	-	6	63	162
		Syllabus	2	-	6	63	162

Teaching language

Portuguese

Objectives

Aims:
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.
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.

Program

1- Revisions
Brief revision of unilateral and bilateral Laplace transform: definitions and more relevant theorems; Laplace transforms and some standard signals.
Resolution of differential equations by unilateral Laplace transform
Function of transference, poles and zeros
2- Modelling
Examples of determination of ordinary differential equations which represent mechanical, electrical, hydraulic and thermal systems from fundamental laws of Physics; Linear approximations; Electromechanical analogies
3- Time response of open loop systems
Time domains analysis, response of 1st and 2nd order systems, unit impulse, unit level and unit ramp using Laplace transform.
Stability; Routh-Hurwitz stability criterion;
4- Frequency domain analysis
Introduction
Bode diagram
Bode diagram for the transfer function (elementary and general)
Effect of zeroes in frequency response
5- Feedback systems analysis
Introduction; Notions of feedback system; Block diagram of a feedback system; Block diagram algebra; Rules for the simplification of block diagrams;
6- Performance analysis of feedback systems in steady state
Position, velocity and acceleration errors
7- Performance analysis of feedback systems using root locus method (direct and inverse method)
Introduction to root locus method; Characteristic equation and root trajectory; Amplitude and angle; Rules to design root locus
8- Performance analysis of feedback systems in the frequency domains;
Introduction; Polar and Nyquist path; Nyquist stability criterion
Relative stability: notions of gain and phase margin
Relationship between race frequency and feedback system
9- Compensation in time and frequency domains
10- PID controllers

Mandatory literature

Carvalho, Jorge Leite Martins de; Sistemas de controle automático. ISBN: 85-216-1210-9
Carvalho, Jorge Leite Martins de; Dynamical systems and automatic control. ISBN: 0-13-221755-4
Dorf, Richard C.; Sistemas de controle modernos. ISBN: 85-216-1242-7

Complementary Bibliography

J.Deyst and K Wilcox; MIT open courseware; , MIT

Teaching methods and learning activities

Theoretical classes: presentation of the program using the board
Theoretical-practical classes: presentation of problems and problem solving using the board; answer to students’ doubts and discussion of homework; use of Matlab/Simulink software

Software

Matlab 6 R12.1

keywords

Technological sciences > Engineering > Process engineering > Process control
Technological sciences > Engineering > Systems engineering > Systems theory

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Attendance (estimated)	Participação presencial	56,00
	Total:	-	0,00

Eligibility for exams

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

Calculation formula of final grade

1- Ordinary students
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 final exam grade.

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

Examinations or Special Assignments

Continuous assessment will be based on the grade of a mini-test, and possibly on students’ performance during theoretical-practical classes. Mini-test may be a multiple-choice test.
Final exam may also be a multiple-choice exam.

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.