638-0905/02 – Identification and Modelling (IM)
Gurantor department | Department of Automation and Computing in Industry | Credits | 10 |
Subject guarantor | prof. Ing. Zora Koštialová Jančíková, CSc. | Subject version guarantor | prof. Ing. Zora Koštialová Jančíková, CSc. |
Study level | postgraduate | Requirement | Choice-compulsory |
Year | | Semester | winter + summer |
| | Study language | Czech |
Year of introduction | 2013/2014 | Year of cancellation | 2022/2023 |
Intended for the faculties | HGF, FMT | Intended for study types | Doctoral |
Subject aims expressed by acquired skills and competences
Student will be able to formulate the basic methods of creation of mathematical description of dynamic systems for simulation purposes and synthesis of their control, to analyse real dynamic systems a for their mathematical description use appropriate identification methods, to formulate the basic methods of simulation models realization on the digital computer, to create mathematical models of selected real processes with aim of classic simulation programs and with artificial neural networks exploitation. 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.
Teaching methods
Individual consultations
Project work
Summary
The course deals with methods of the mathematical description of systems creation for the purpose of synthesis of their control. Methods of mathematical-physical analysis and methods of experimental identification are discussed. Attention is paid to the deterministic ways of identification and to identification with the random course of the input variables of the identified systems. The conclusion of the course is devoted to the basics of stochastic modelling and to the basic statistical methods of the system identification.
Compulsory literature:
Recommended literature:
Additional study materials
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
Elaboration of seminar work on a given topic.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
• Introduction to systems modelling, forms of description of dynamic system.
• Basic types of modelling (physical, mathematical, cybernetic).
• Identification in the process of knowledge and in the process of control. Precarious and aposteriori information about identify system.
• Classification of mathematical model. Identification of structure and of parameters systems.
• Identification methods. Identification of mathematical - physical analysis method.
• Experimental method identification. Deterministic method identification.
• Systems modelling by kind of similarities (mathematical, physical, mathematically- physical, cybernetic). Principle and common of description equational and of block oriented simulation programmes.
• Classification models according to different standpoints. Mathematical simulation, analyst and experimental method recognition of mathematical system description.
• Unconventional simulation - artificial intelligence (fuzzy model, expert model, model neuronal nets, genetic algorithm).
• Model neuronal nets. Usage neuronal nets for simulation choice of technological process.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction