Controls and Systems

Code:

EEC0025

Acronym:

SCON

Keywords
Classification	Keyword
OFICIAL	Basic Sciences for Electrotechnology

Instance: 2020/2021 - 1S

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	61	Syllabus	3	-	6	56	162

Teaching language

Portuguese

Objectives

This course aims at providing the sudents with the necessary skills to perform the following tasks: analysis of feedback systems with static nonlinear elements; analysis of state space systems in continuous and discrete time; controller/observer synthesis; analysis of systems with stochastic inputs (after having acquired basic knowledge about stochastic processes).

Learning outcomes and competences

After this course the students should be able to:

Model processes using state space realizations

Construct complex controllers using the state space approach.

Apply their knowledge to the solution of interdisciplinary problems that involve their area of specialization.

Working method

Presencial

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

Basic knowledge of Linear Álgebra and Differential Equations.

Program

1. Introduction to state space systems in continuous time
1.1 - State space representation of a nth order differential equation.
1.2 - The transfer function of a state space representation.
1.3 - Solution of the state space equations, state transition matrix, and modal analysis.

2. Analysis of state space systems
2.1 - Stability.
2.2 - Controlability and observability.
2.3 - Canonical representations.

3 - Control of state space systems.
3.1 – State feedback (with full state measurement).
3.2 – State observers.
3.3 – Feedback with state observation.
3.4 - Reference tracking. Disturbance rejection.

4 - Discrete time linear systems
4.1 - Discretization of continuous time models
4.2 - Discrete time systems: state space models, difference equations, transfer functions.
4.3 - Solution of the state space equation. Discrete time state transition matrix.
4.4 - Stability of discrete time systems.

5. Linear systems with stochastic variables
5.1 - Introduction to stochastic processes; correlation and spectral analysis.
5.2 - Response of a linear system to stochastic inputs.
5.3 - Introduction to stochastic filtering: the Kalman filter.
5.4 - Introduction to parameter estimation.

Mandatory literature

Isabel M. G. Lourtie; Sinais e sistemas. ISBN: 972-592-130-5
Chi-Tsong Chen; Linear system theory and design. ISBN: 4-8337-0191-X
J. L. Martins de Carvalho; Sistemas de controle automático. ISBN: 85-216-1210-9

Comments from the literature

The books are listed by order of use, according to the course contents.

Teaching methods and learning activities

Lectures: Exposition on the board/slides.
Exercise classes: Solution of problem sheets proposed by the instructor, using, whenever possible, computer simulations with Matlab's Control Systems Toolbox.

Software

Matlab

keywords

Technological sciences > Engineering > Control engineering

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Designation	Weight (%)
Exame	65,00
Participação presencial	0,00
Teste	35,00
Total:	100,00

Amount of time allocated to each course unit

Designation	Time (hours)
Estudo autónomo	108,00
Frequência das aulas	54,00
Total:	162,00

Eligibility for exams

Students must participate at least in 75% of the exercise classes. 

Calculation formula of final grade

Normal regime:
Final grade = max[35% (midterm grade)+65%(final examination); final examination]

Other regimes:
Final grade = Final examination grade

Examinations or Special Assignments

In order to obtain a final grade above 18/20 (i.e., 19 or 20), the students must be submitted to a special (oral or written) exam, that will take place after the end of the re-sit examination period. The students in these conditions will have their names properly highlighted on the results sheet posted after the second exam sitting.

The exams to be done by the students in the special examination period (see the "Regulamento Específico de Avaliação dos Discentes da FEUP" at https://sigarra.up.pt/feup/pt/legislacao_geral.ver_legislacao?p_nr=2854) can be oral exams, in which case they will be previously noticed.

Special assessment (TE, DA, ...)

The students admitted to the exam for being dismissed from frequency (under the items a), b) and c) of Article 4 of the General Evaluation Rules) will do, on the regular examination period, the same exam as the ordinary evaluation students. Obtaining a final classification superior to 18 marks (19 or 20) demands for a special exam that will be done after the end of the re-sit examination period. The students in these conditions will have their names properly highlighted on the results’ sheet posted after the written exams. The exams to be done by the students in the special examination period (item 5 of Article 6 in the General Evaluation Rules) can be oral exams, in which case they will be previously noticed.

Classification improvement

Grade improvement can be done accordingly to item 1 of Article 10 of General Evaluation Rules. This means it can be done if the student enrolls either on the re-sit exam of the regular period in which he obtained approval or on one of the tests of the regular period of the following year, within the established deadlines.

The midterm exam grade won't be considered for grade improvement.

Observations

Language of instruction: Portuguese

Special support will be given to foreign students.