simulation

Development of Mathematical Model of Controlled Plant Using the Obtained Experimental Data

The results of the experimental study of the dynamical and static properties of an electric oven as a controlled plant are presented in the paper. Up-to-date microprocessor instruments were applied during the experiments. Mathematical model of the electric oven was developed on the basis of the experimental data. The adequacy of the model was verified.

Comparative Analysis of Simulation Methods of the fractional Brownian motion

This paper analyzes the statistical simulation  algorithms of generalized Wiener process and increases of the generalized Wiener process. Models built with specified accuracy and reliability in space L2(T).  To build statistical models we use various spectral representation of random processes – namely in the  series and as integrals.

The advantages and disadvantages of each representations was compared.

Mathematical Modeling and Experimental Study of Impulse Lines of Flowmeters

Mathematical model of an impulse line with a pressure transducer (PT) was built. This model provides the possibility to simulate and analyze the transient processes in an impulse line. Experimental studies of the step response curves of an impulse line with PT were carried out with application of a high-frequency analog-to-digital converter of the pressure signal in the PT chamber. The simulated step response curves were compared to the experimental ones. Maximum relative deviation of the simulated step response curves from the experimental ones is 6.3 %.