352-0503/02 – System Identification (IS)
| Gurantor department | Department of Control Systems and Instrumentation | Credits | 4 |
| Subject guarantor | prof. Ing. Petr Noskievič, CSc. | Subject version guarantor | prof. Ing. Petr Noskievič, CSc. |
| Study level | undergraduate or graduate | Requirement | Choice-compulsory |
| Year | 2 | Semester | winter |
| | Study language | Czech |
| Year of introduction | 2004/2005 | Year of cancellation | 2019/2020 |
| Intended for the faculties | FS | Intended for study types | Master |
Subject aims expressed by acquired skills and competences
Student is able to create a mathematical model of the real system different physical structure. He/she is able to assess the advantages of the analytical and experimental identification methods and to decide about their use. Student is able to sub-divide the system into the subsystems and design their identification. The created mathematical model is able to realize using the simulation programme.
Teaching methods
Lectures
Tutorials
Experimental work in labs
Project work
Other activities
Summary
The content of this subject are the analytical and experimental methods of the creating of the mathematical model of the dynamic system. The lectures are focused on the principles of the mathematical-physical modelling of the mechanical, electrical, hydraulic, pneumatic and thermal systems. In the frame of the experimental methods the methods based on the use of deterministic and random signals are taught. The methods for the evaluation of the transfer functions, impulse response and Bode plots are explained, next the stochastic approach for the system identification and identification of the discrete models in form ARMAX are introduced.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Solving of the tasks at the exercises, two projects, defending of the individual solved tasks, evaluation of the activity.
E-learning
Other requirements
Solving of the tasks at the exercises, two projects, defending of the individual solved tasks, evaluation of the activity.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Modelling, mathematical and simulation models, physical models, their application.
2. Basic forms of the mathematical models of the dynamic systems, methods of their obtaining, introduction of the analytical and experimental system identification.
3. Simulation programmes – classification, use and implemented numerical methods.
4. Modelling of the mechanical subsystems of the mechatronic systems.
5. Modelling of the electrical subsystems of the mechatronic systems.
6. Modelling of the hydraulic systems, derivation and realization of the mathematical models.
7. Modelling of the thermal systems.
8. Experimental identification using the deterministic signals. Step response approximation. Parameterization of the responses – step response, impulse response.
9. Frequency response measurement and parameterization.
10. Statistical methods of system identification. Statistic characteristic of the signals and processes.
11. System identification using the correlation methods. Stochastic form of the dynamic system – Wiener – Hopf equation. Random test signals.
12. Discrete model identification, different structures of the random signal and random process models. Model parameters obtaining, least square methods.
13. Recursive identification methods, weight coefficients, exponential weight function.
14. Identification of the systems operated in the closed loop.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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