1. Basic mathematical models of the dynamic systems, methods of their obtaining, overview of the analytical and experimental methods of system identification.
2. Experimental identification using the deterministic signals. Approximation of the step responses.
3. Parameterization of the system characteristics, area methods, integration methods.
4. Bode plot characteristic – measurement and evaluation.
5. Statistic identification methods. Statistic characteristics, stationary, random process.
6. Identification using the correlation methods. Stochastic formulation of the dynamic systems, random test signals.
7. Identification using the parameter estimation, structure of the stochastic process and system.
8. Model parameter estimation, least square methods.
9. Recursive methods of the identification, weight coefficients, exponential filtering.
10. Polynomial and nonlinear models discrete models identification. Identification of the systems operating in closed loop.
11. Realization of the simulation models, numerical solution of the differential equations, stability of the methods of the numerical solution, Stiff systems.
12. Model order reduction.
13. Software support of the identification and simulation methods.
14. Identification and simulation experiment, case study – the use of the simulation models by the design of the mechatronic system.