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Universidade Lusófona do Porto

Signals and Systems


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 temporal and
frequencies behavior of physical systems of different natures and define measures to change this


Science in Aerospace Engineering

Level of Qualification|Semesters|ECTS

| Semestral | 5

Year | Type of course unit | Language

3 |Mandatory |Português



Recommended complementary curricular units

Circuit Analysis

Calculus III

Applied Mechanics

Fluid Mechanics

Professional Internship



0. Laplace transform in system analysis.
1. Notions of Signals and Systems.
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.


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

Teaching methodologies and assessment

The curricular unit is taught through theoretical-practical classes with theory followed by resolution of
problems and support from MATLAB / OCTAVE. The evaluation is continuous and consists of 4
evaluation moments. Three mini-tests will be carried out during the classes and a work will be carried out
using MATLAB / OCTAVE (extra-classes) which will result in the delivery of a report and a face-to-face
presentation that corresponds to the last element of evaluation.
Each component is worth 25% of the final grade. The appeal exam and the special season exam consists
of a written test that corresponds to 100% of the final grade.


  • 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

Nome do docente  

Horário de atendimento


Carla Cordeiro

Terça-feira das 12h30-13h30