654-3002/01 – Modelling and Simulation (MS)
Gurantor department | Department of Industrial Systems Management | Credits | 5 |
Subject guarantor | Ing. Ondřej Zimný, Ph.D. | Subject version guarantor | Ing. Ondřej Zimný, Ph.D. |
Study level | undergraduate or graduate | Requirement | Compulsory |
Year | 1 | Semester | winter |
| | Study language | Czech |
Year of introduction | 2022/2023 | Year of cancellation | |
Intended for the faculties | FMT | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
Student will be able to formulate the basic methods of simulation models realization on the digital computer.
Student will get an overview of the basic principles of mathematic-physical modelling, similarity and modelling and of classic and artificial intelligence methods necessary for model realization.
Student will be able to create mathematical models of selected real processes with aim of classic simulation programs and with artificial neural networks exploitation
Teaching methods
Lectures
Tutorials
Project work
Summary
The aim of the course is to acquaint with the methods of implementation of simulation models of dynamic systems. The explanation is based on the mathematical description of the dynamic system. Students are explained the principles of mathematical and physical modelling, principles of theory of similarity and modelling and to the methods necessary for implementation of the model on a digital computer. Students are introduced to artificial intelligence (fuzzy models, expert models, models of neural networks, genetic algorithms), attention is paid mainly to the models of neural networks and their application to the selected technological processes.
The exercises consist of creation of mathematical models for selected real dynamic systems and their verification using SIMULINK simulation program. Models of real processes with the use of artificial neural networks are created using software Statistica - Neural Networks, MATLAB -Neural Network Toolbox and NEUREX.
Compulsory literature:
Recommended literature:
Additional study materials
Way of continuous check of knowledge in the course of semester
písemný test a ústní zkoušení
E-learning
Jančíková, Z. Modelling and simulation. Ostrava: VŠB-TU Ostrava, 2015 (https://www.fmmi.vsb.cz/cs/studenti/study-support/index.html)
Other requirements
active participation in seminars
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Introduction to systems modelling, forms of description of dynamic system.
2. Basic types of modelling (physical, mathematical, cybernetic.)
3. Classification of models according to different viewpoints.
4. Mathematical modelling, analytical and experimental methods of
identification of mathematical system description.
5. Simulation of systems, creation of system model, block diagrams.
6. Simulation program SIMULINK, creation of simulation models.
7. Introduction to similarity and modelling theory, theorems of similarity.
8. Derivation of general criterion equation by analysis of ratio equations.
9. Derivation of general criterion equation using dimensional analysis.
10. Unconventional modelling - artificial intelligence (fuzzy models,
artificial neural networks, genetic algorithms).
11. Introduction to neural networks, neuron models, neural network.
12. Learning and generalization of neural networks, learning algorithms.
13. Creation of neural networks models in software tools NEUREX, Statistica
Neural Networks, MATLAB Neural Networks Toolbox.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
Předmět neobsahuje žádné hodnocení.