350 rub
Journal Information-measuring and Control Systems №11 for 2008 г.
Article in number:
Definition of Discrete Mathematical Models of the Dynamic Objects Described by Linear Differential Equations with Constant Cofficients
Authors:
Kulifeev Yu.B.
Abstract:
At solving with the help of the computer of applied problems of synthesis and analysis of onboard measuring and managing systems, a problem of the discrete description in time of continuous dynamic objects (systems) arises frequently. If a system is determined, this problem is usually reduced to numerical solution of systems of ordinary differential equations. However, for a linear stationary system it is possible to receive an essential gain in time of computations or modelling if to proceed from differential continuous representation in time to equivalent discrete representation with the help of the recurrent equations. It is especially essential, if we deal with synthesis of managing algorithms or filtration of signals in real time. Moreover, transition to equivalent discrete representation with the help of the recurrent equations for linear stationary stochastic systems is the only correct way of modelling these systems on digital computers. In the article technique of construction of equivalent, discrete in time, mathematical models of linear stationary dynamic objects is stated. Application of the given technique is shown by solving problems of digital modelling of onboard gauges of the flight information, and also a problem of the description of atmospheric turbulence at modelling flight of flying devices of plane type. The article has methodical character.