Discrete Frequency Characteristics of Elementary Dynamic Units
Abstract
Purpose: The theory of dynamic systems does not make difference between continuous and discrete frequency characteristics as the signal theory does. The purpose of this research is eliminating this shortcoming by introducing finite time into discrete frequency response of linear dynamic systems, with an example of elementary units of the first and second order. Results: The difference is shown between frequency characteristics of signals/systems which are continuous in infinite time range and discrete in a limited time interval. A definition is given for discrete frequency characteristics of linear dynamical systems in finite time. Numerical and analytical methods are discussed for finding them, along with a field experiment method. A transfer function is derived for a non-stationary linear unit of the flip operator (reverse signal in time). Characteristics of elementary units of the first and second order are given, described by transfer functions of the integrator, double integrator, aperiodic and conservative links. It is shown that the points of their discrete frequency characteristics are located on the amplitude frequency characteristics of the units. Practical relevance: The discrete frequency characteristics complement the classical continuous ones, being consistent with their amplitudes and making them more accurate, taking into account an important practical factor which is the limited time of the processes. An appropriate software is developed for mathematical Internet.Published
2015-08-01
How to Cite
Balonin, N. (2015). Discrete Frequency Characteristics of Elementary Dynamic Units. Information and Control Systems, (4), 17-25. Retrieved from http://proceedings.spiiras.nw.ru/index.php/ius/article/view/4350
Issue
Section
System and process modeling