Linear Control Systems

Code:

M369

Acronym:

M369

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2014/2015 - 2S

Active?	Yes
Responsible unit:	Department of Mathematics
Course/CS Responsible:	Bachelor in Mathematics

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L:M	33	Plano de estudos a partir de 2009	1	-	7,5	-
			2
			3

Teaching language

Portuguese

Objectives

Objectives:

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

Learning outcomes and competences

Skills:

Problem-solving skills. Theoretical understanding.

Working method

Presencial

Program

Mathematic Models for Dynamical Systems: sicrete and contínuos time. Nonlinear models;Mathematic description. Mathematic description of systems using state models. Linearization. Solution of sattate space equation. Laplace transform, transition matrix, impulsonal response and transfer function;

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

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

Observers and state controllers: state feedback and internal stability:

Assimptotic observers, stabilization, separation principle.

Analysis and description of domain frequency systems

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.

Software

MATLAB

Evaluation Type

Distributed evaluation with final exam

Assessment Components

designation	Weight (%)
Exame	75,00
Trabalho laboratorial	25,00
Total:	100,00

Eligibility for exams

Frequência nas TP ou nota mínima no MiniTeste de 6.0/20

Calculation formula of final grade

• Regime normal 1 mini-teste (MT) + 1 exame final (EF) + 1 trabaho prático (TP)

Classificação final = máx [0.6*EF+0.4*MT, EF] *0.75 + 0.25* TP

• Outros regimes : Exame final + 1 trabalho prático/síntese

  Classificação final = (0.75 * EF + 0.25 TP)

Classificações superiores a 17 ficam sujeitas a exame oral.