Linear Control Systems

Code:

M4080

Acronym:

M4080

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2016/2017 - 2S

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

Teaching language

Suitable for English-speaking students

Objectives

 

The aim of this curricular unit is to provide knowledge in the area of Theory of Systems and Linear Control. The discipline has a strong computational component for simulation of systems using CAD tools, namely MATLAB and Simulink, for resolution of problems arising in other sciences.

Learning outcomes and competences

One aims at:

1. Completing and structuring the students’ background


2. Promoting the knowledge and the use of methods which are relevant in applications;


3. Developing the ability for solving problems; 


4. Favouring the students’ contact with the construction and use of algorithms.

Working method

Presencial

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

One semester of Linear Algebra and two semesters of Infinitesimal Calculus or Real Analysis are recommended. However, students can overcome the lack of background with extra work.

Program

1. Mathematic Models for Dynamical Systems: sicrete and contínuos time. Nonlinear models;


2. Mathematic description. Mathematic description of systems using state models. Linearization. Solution of sattate space equation. Laplace transform, transition matrix, impulsonal response and transfer function;


3. Controlability and observability; definitions, canonical controllable and observable forms. Transfer function realizations;


4. Stability; intern stability, definition and tests: external stability : BIBO stability


5. Observers and state controllers: state feedback and internal stability: Assimptotic observers, stabilization, separation principle.

 

Mandatory literature

Chen Chi-Tsong; Linear system theory and design. ISBN: 0-19-511777-8
Rugh Wilson J.; Linear system theory. ISBN: 0-13-441205-2

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.

Some lectures will be used for evalutation purposes. 

Software

MATLAB

Evaluation Type

Distributed evaluation with final exam

Assessment Components

designation	Weight (%)
Teste	60,00
Trabalho laboratorial	40,00
Total:	100,00

Eligibility for exams

Students should be present in all the lectures in which assessments take place (to be fixed in the beginning of the academic year).

Calculation formula of final grade

The final grade is the sum of all the points obtained in the partial assessments.

In the second call the final grade is the grade in the exam (out of 12 points), adding the classification of the compulsory work.