Introduction to Cybernetics
FEKT-BPC-UKBAcad. year: 2018/2019
Introduction to the technical cybernetics
The physical signals – kinds and ways of description
Signals – frequency, amplitude, phase, power and energy of signals
Definition of the system, the system kinds and their properties (linearity, time-invariance, causality, etc.)
The static and the dynamic systems – system state, energy accumulators and system order
Systems – inputs/outputs, the ways of the systems description
Examples of basic systems, the analogy between the physical systems and RLC systems
The system structures (serial, parallel, antiparallel), explanation of positive/negative feedback
Stability of the systems, feedback use and the basic principle of automatic control, the main kinds of controllers (regulators)
The Laplace transform principle , solving the differential equations
The Z-transform principle, solving the difference equations
Learning outcomes of the course unit
Absolvent is able to:
- describe and to explain the basic pronciples of technical cybernetics,
- define a signal and to destinguish the basic types of physical signals,
- describe the basic signals by mathematic equations,
- describe and apply the Laplace transform and Z-transform ,
- define a system and its basic properties (linearity, time-invariance, causality, etc.),
- distinguish between different kinds of systems and their structures,
- explain the system stability, system order and feedback,
- describe the basic principle of automatic control and enumerate basic types of controllers (regulators).
The basic knowledge of mathematics, physics and electrical engineering at the level of the 1st year Bachelor studies.
Recommended optional programme components
Recommended or required reading
Planned learning activities and teaching methods
Techning methods include lectures and final test.
Assesment methods and criteria linked to learning outcomes
The final test – 100 points. The minimum 50 points is required for credit.
Language of instruction
1. Introduction to the technical cybernetics.
2. Signals – definition, types, properties. A/D and D/A conversion.
3. Mathematical description of the basic signals. The harmonic signals - frequency, amplitude and phase. The complex numbers, their relation to the signals. The complex exponential signal and its properties.
4. Meaning of differentiation and integration in view of signals. Introduction to the modelling.
5. Systems - definition, types and their properties (linearity, time-invariance, causality, etc.).
6. Static and dynamic systems. System state, system energy, accumulators of energy and system order.
7. Examples of basic systems, analogy with the RLC systems. Description of systems.
8. Control - definition, types, properties. Examples of control.
9. Basic types of controlled systems (processess), their properties and examples.
10. Feedback and the basic principle of automatic control, the main kinds of controllers (regulators).
11. The Laplace transform and the Z transform - principle, properties, solving the differential (difference) equations.
12. Summary. Example of a control implementation.
13. Final test.
The goal of this course is to provide an overview and explanation of the basic concepts and principles used in automation and cybernetics. Other goal is to demonstrate on the practical examples description of systems and signals in the time domain and frequency domain, briefly introduce to Laplace and Z transform and to prepare the students for following course Signals and Systems. Furthermore, the course also aims showing and explanation of the relationships between the signals/systems and the knowledge obtained in other courses.
Specification of controlled education, way of implementation and compensation for absences
The content and forms of instruction in the evaluated course are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year.