Theory of Systems

NA

The subjects are explained in the theoretical classes and by solving practical exercises in the practical classes. Evaluation: three optional tests take place during the semester for which there a minimum of 80% of presences in the classes and the minimum classification of 8,00 points in 20,00. There is also a final exam.

Learning Objectives: To design, implement and perform quantitative and qualitative analysis of control systems. Learning outcomes and competences: Understand the basic properties of simple signals used in system testing. Understand the mathematical description of physical systems. Understand the basic control actions and basic industrial controllers. Understand the stability principles of physical systems. Understand system behavior based on root locus. Understand system behavior based on frequency analysis.

1. Introduction to control systems.
2. Basic signals.
3. Properties of signals: Periodicity, energy and power, symmetry.
4. Operations with signals. Linear transformations of the independent variable.
5. Properties of systems. Memory, causality, linearity, stability, time variance, inverse system.
6. Mathematical description of physical systems. Mechanical, electrical, electronic systems.
7. Laplace transform. Final value theorem. Initial value theorem.
8. Differential LIT equations.
9. Feedback control systems. Transfer function. Block Diagrams. Mason’s gain formula.
10. Transient response analysis. Dominant poles. Steady state error analysis.
11. Basic control actions and industrial controlers.
12. State space method.
13. Stability in feedback control systems. Routh stability criterion.
14. Root locus analysis.
15. Frequency response. Bode Diagrams. Relative stability, phase margin, gain margin.

NAO