Faculdade de Ciências e Tecnologia

Systems Theory

Code

2478

Academic unit

Faculdade de Ciências e Tecnologia

Department

Departamento de Engenharia Electrotécnica

Credits

6.0

Teacher in charge

Fernando José Almeida Vieira do Coito

Weekly hours

5

Total hours

64

Teaching language

Português

Objectives

Upon conclusion the student will be able to analyse the dynamic behaviour of systems in his area of expertise, and to design and tune control systems of small complexity.The course aims to develop the initiative, critical mind, autonomy and implementation abilities.

 

Subject matter

1. Introducing dynamic systems:

1.1. Introduction 1.2. Relevant test signals 1.3. System properties (linearity, time invariance, causality) 1.4. Dynamic systems 1.5 Introduction to the discrete-time signals and systems.

2. Mathematics:

2.1. Complex numbers 2.2. Laplace transform

3. Time analysis:

3.1. First order systems 3.2. Second order systems 3.3. Higher order systems

4. Control systems in the time domain:

4.1. Feedback 4.2. Set-point tracking 4.3. Stability. 4.4. PID controllers

5. Control systems in the frequency domain:

5.1. Frequency behavior 5.2. Bode diagrams 5.3. The relationship between time and frequency  5.4. Control system specifications 5.4. Nyquist criterion 5.5. Gain and phase margins

Bibliography

 

  • Katsyhiko Ogata, System Dynamics, Prentice-Hall
  • B. J. Kuo, Automatic Control Systems, Prentice-Hall
  • Katsyhiko Ogata, Modern Control Engineering, Prentice-Hall
  • Franklin;-- Powell;-- Emami-Naeini, Feedback Control of Dynamic Systems, Addison-Wesley
  • Texts for all the chapters  (in portuguese)

 

  • Problems (in portuguese)
  • Experiments workbook (in portuguese) 

Teaching method

Theoretical class: exposition of theoretical concepts; applicatioon examples.

Practical and laboratorial classes: propblem resolution, realization of practical works to understand the concepts; realization of short projects.

Courses