Linear Control Systems

Code:

M4080

Acronym:

M4080

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2020/2021 - 1S

Active?	No
Responsible unit:	Department of Mathematics
Course/CS Responsible:	Master in Mathematical Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
M:ENM	0	Official Study Plan since 2013-2014	1	-	6	56	162
			2

Teaching language

Portuguese

Objectives

Objectives:

Advanced knowledge in the area of Systems and Linear Control. The discipline provides for computational simulation of systems using CAD tools, namely MATLAB.

Learning outcomes and competences

Skills:

Problem-solving skills. Theoretical understanding.

Working method

Presencial

Program

State model of linear systems; state equations and solutions

Control by linear feedback of state variables, properties and control by feedback of state.

Control of non-linear systems: behavior of non-linear systems, application examples; balance points; linearization, linearization by feedback and stability; direct LYapunov method, Lyaponov control functions and linearization by retroaction.

Mandatory literature

Chen Chi-Tsong; Linear system theory and design. ISBN: 0-19-511777-8
João Miranda Lemos; Controlo de Espaço de Estados, IST Press, 2019. ISBN: 978-989-8481-702

Teaching methods and learning activities

The syllabus provided will be treated in the lectures, which will introduce the relevant proposed concepts and demonstrate some of the results. In the lectures countless problems and application examples will also be solved.

Practical classes will be offering exercises and will give the necessary support to the students for their understanding and resolution. All learning objectives have direct correspondence with the programmed contents described, being the subject of work in different types of classes provided.

Software

MATLAB

Evaluation Type

Distributed evaluation with final exam

Assessment Components

designation	Weight (%)
Exame	55,00
Trabalho prático ou de projeto	45,00
Total:	100,00

Amount of time allocated to each course unit

designation	Time (hours)
Apresentação/discussão de um trabalho científico	4,00
Elaboração de projeto	40,00
Elaboração de relatório/dissertação/tese	62,00
Frequência das aulas	56,00
Total:	162,00

Eligibility for exams

n.a.

Calculation formula of final grade

Distributed evaluation with final exam (EF)


Final classification = (0.55 * EF + 0.45 TP), with a minimum of 30% required in each part.

Examinations or Special Assignments

Execution of Seminar / practical work with report and presentation (TP)

Classification improvement

Repetition of EF component