Systems Theory and Control
Keywords |
Classification |
Keyword |
OFICIAL |
Mathematics |
Instance: 2021/2022 - 2S
Cycles of Study/Courses
Acronym |
No. of Students |
Study Plan |
Curricular Years |
Credits UCN |
Credits ECTS |
Contact hours |
Total Time |
L:M |
27 |
Official Study Plan |
2 |
- |
6 |
56 |
162 |
3 |
Teaching Staff - Responsibilities
Teaching language
Suitable for English-speaking students
Objectives
Objectives:
Initial and basics knowledge in the area of Mathematical Theory of Control, area of application-oriented mathematics that deals with the basic principles underlying the analysis and design of feedback control systems. The discipline provides for computational simulation of systems using CAD tools, namely MATLAB and Simulink
Learning outcomes and competences
1- Determine the representative equations of
elementary systems of the various application areas
(Engineering, Medicine, Biology, among others) and
from them, with the mathematical methods studied,
to identify the type of response, both temporal
and frequency, that is associated with it.
2- Understand the notions associated with feedback
and analyze the behavior and stability in the domain of time
and frequency, of feedback systems.
3- Design and calibrate controllers.
Working method
Presencial
Pre-requirements (prior knowledge) and co-requirements (common knowledge)
Linear Algebra and Diferential Equations (advised)
Program
Mathematic Models for Dynamical Systems: discrete and continuous time. Nonlinear models; linearization. Examples.
Laplace transform, definition and properties; impulsional response and transfer function of the system.
Frequency Domain Analysis, Bode Diagrams of elementary transfer functions. Bode diagrams of a general transfer function. Influence of Zeros and Poles on the Frequency Response. Notion of Feedback System, block diagram of a Feedback System.
Performance analysis, in steady state, of feedback systems, position errors, speed and acceleration. Stability and Routh criterion.
State Space Analysis: modal analysis, stability, controlability and observability criterions.
State Feedback in Time Domain. State feedback and state observers.
Mandatory literature
João Miranda Lemos;
Controlo no espaço de estados. ISBN: 978-989-8481-70-2
Panos J. Antsaklis;
A linear systems primer. ISBN: 978-0-8176-4460-4
Teaching methods and learning activities
The syllabus provided will be treated in the theoric and practice classes (TP), 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.
It will be also proposed exercises and it will be given 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
keywords
Physical sciences > Mathematics > Applied mathematics
Evaluation Type
Distributed evaluation without final exam
Assessment Components
designation |
Weight (%) |
Trabalho prático ou de projeto |
25,00 |
Teste |
75,00 |
Total: |
100,00 |
Amount of time allocated to each course unit
designation |
Time (hours) |
Elaboração de projeto |
30,00 |
Estudo autónomo |
90,00 |
Frequência das aulas |
42,00 |
Total: |
162,00 |
Eligibility for exams
Frequency in TP. Justification is accepted for
everyone depending on individual situation.
Calculation formula of final grade
- Standard course: 2 tests (total of 15 marks)(CT) + Practical Work (CP), total of 5 marks.
- Final Grade = CT + CP (grade of each component should be superior to 40%)
- TP evaluation - Practical work, presentation and discussion = 5 marks
Classification improvement
Only CT can me improved