Signals and Systems

Presentation

This course aims to provide the student with a set of knowledge to analyze dynamic systems (continuous SISO, linear and time invariant).
Using knowledge already acquired in other curricular units about Laplace transform, laws of motion, laws of analysis of electrical circuits, thermodynamics and hydraulics, the student will study the behavior of physical systems of different natures.

Programme

IT Engineering

Level of Qualification|Semesters|ECTS

| Semestral | 6

Year | Type of course unit | Language

2 |Mandatory |Português

Code

ULP452-7339

Recommended complementary curricular units

Physics Fundamentals

Signal Processing

Professional Internship

Não

Syllabus

0. Notions of Signals and Systems.
1. Laplace transform in system analysis.
2. Construction and manipulation of block diagrams: Algebra of block diagrams; Obtaining the transfer function of closed loop systems;
3. Modeling of dynamic systems: Electrical systems; Mechanical translation systems; Mechanical rotation systems; Hydraulic systems; Thermal systems.
4. Analysis of time domain systems: Study of the transitional regime and the permanent regime; 1st order systems analysis; 2nd order systems analysis;
5. Routh-Hurwitz Stability Criterion;
6. Frequency domain system analysis: Root Geometric Place Method;

7. Stability analysis; Frequency response of systems; Bode Diagrams.
8. PID Controlers.

Objectives

The course unit Signals and Systems aims to provide students with the necessary skills to be able to mathematically model a physical system and study its behavior in time and frequencies. 
In addition to these technical skills the student should also be able to use MATLAB to analyze linear systems.

Teaching methodologies and assessment

The curricular unit is taught through theoretical-practical classes with theory followed by problem solving and MATLAB support. The evaluation is continuous and consists of 4 evaluation moments. There will be 3 mini-tests during the classes and a work will be done using MATLAB (extra-classes) that will result in the delivery of a report and a classroom presentation. Each component is worth 25% of the final grade. The exam exam consists of a written test that corresponds to 100% of the final grade.

References

• Ogata, K. (2009).   Upper Saddle River, NJ: Prentice Hall. Modern control engineering. 
• Franklin, G. F., Powell, J. D., & Emami-Naeini, A. (2014). Feedback control of dynamic systems. Prentice Hall Press.

Office Hours