Electrical and Computer Engineering
SYSTEMS THEORY
Description
Theory
2
Laboratory
2
Instructors
Olga Pinheiro
Contents
1. Review of basic mathematical concepts:
- Laplace transform;
- Transfer function.
2. Construction and manipulation of block diagrams:
- Algebra of block diagrams;
- Obtaining the transfer function of closed loop systems.
3. Modeling of dynamical systems:
- Electric, mechanical, hydraulic, thermal.
4. Systems analysis in the time domain:
- Study of the transient and the steady states;
- Concept of dominant pole(s);
- Analysis of systems of first order and second order.
5. Stability Criterion Routh-Hurwitz.
6. Analysis of feedback systems in the time domain:
- Root locus method (LR);
- Analysis of stability and prediction of dynamic behavior of a system according to the study of LR.
7. Systems analysis in the frequency domain:
- Frequency response of systems;
- Bode Plots.
8. PID Controllers:
- Control actions P, I, D;
- Tuning rules of PID controllers.
Learning Outcomes
This course has the objective of giving to the students a set of knowledge in order to allow him to analyze dynamical systems (continuous, SISO, linear and invariant in time) and to develop controllers according to the classical control systems theory:
- understand the fundamental concepts in the theory of dynamical systems;
- modeling continuous systems;
- characterize and analyze different systems;
- determine and analyze the response of linear systems in the time domain;
- obtain and analyze the root locus of linear systems;
- determine and analyze the response of linear systems in the frequency domain;
- analyze the stability of systems;
- develop controllers.