352-0546/02 – Systems Identification and Simulation (IaSS)
| Gurantor department | Department of Control Systems and Instrumentation | Credits | 5 |
| Subject guarantor | prof. Ing. Petr Noskievič, CSc. | Subject version guarantor | prof. Ing. Petr Noskievič, CSc. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 1 | Semester | summer |
| | Study language | English |
| Year of introduction | 2015/2016 | Year of cancellation | |
| Intended for the faculties | FS, USP | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
The practical use of the experimental identification methods, realization of the mathematical models using the simulation programmes and numerical methods implemented in the simulation programmes are the main learning outcomes of the subject.
The student is able to design the identification experiment and make a decision about the use of the identification methods based on the use of the deterministic or stochastic input signal, is able to choice a method for the evaluation of the response and parameterization of the used model. Student is able to use the methods for the identification of the discrete models of the systems.
The student is able to create the models in the simulation programmes, set up the simulation conditions and parameters, knows the basic numerical methods and their use by the simulation of the dynamic systems. He is able to analyse the dynamics of the identified systems using the mathematical models.
Teaching methods
Lectures
Tutorials
Project work
Summary
The subject System Identification and Simulation is focused on the experimental identification of the dynamic systems and on the realization of the mathematical models of the dynamic systems using computer simulation. The methods for the model parameterization using different testing signals – step input, ramp signal, general input signal, random signal are explained after the summary of the used basic forms of the mathematical models in the time and frequency domain, continues and discrete models. The second part of the of subject is focused on the numerical methods used by the realization of the mathematical models on the digital computers. The curve fitting methods – approximation, interpolation, next numerical integration, numerical derivation and numerical methods for the solution of the differential equation – initial value problems, including of the conditions for their use and numerical stability of the obtained solution.
Compulsory literature:
Recommended literature:
Additional study materials
Way of continuous check of knowledge in the course of semester
Active work at the excercises.
Projects.
E-learning
Other requirements
Individuální práce studentů:
Program č. 1. Parametrizace přechodových (resp. frekvenčních) charakteristik mechatronických systémů.
Program č. 2. Odhad parametrů modelu systému.
Program č. 3. Simulační model systému s komplexní strukturou.
Odevzdání zpracovaných programů a obhajoba použitého řešení
Prerequisities
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Fundamentals of the dynamic system analysis, comparison of the analytical and experimental methods of the identification.
2. Realization of the mathematical models using the simulation programmes. Classification of the simulation programmes.
3. Experimental identification using the deterministic signals. Step response approximation.
4. Parameterization of the responses – step response, impulse response.
5. Frequency response measurement and parameterization.
6. Statistical methods of system identification. Statistic characteristic of the signals and processes.
7. System identification using the correlation methods. Stochastic form of the dynamic system – Wiener – Hopf equation. Random test signals.
8. Discrete model identification, different structures of the random signal and random process models.
9. Model parameters obtaining, least square methods.
10. Recursive identification methods, weight coefficients, exponential weight function.
11. Identification of the systems operated in the closed loop.
12. Numerical methods for solution of the differential equations and their stability.
13. A-stabil, AD-stabil methods of the numerical solution of the differential equations.
14. Numerical methods used for the modelling of the static characteristics.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction