Dynamic Pulse-Frequency Modulation in Objects Control with Delay

Abstract

This paper describes the development of the method of building mathematical models of dynamic pulse-frequency systems of automatic control of objects with random parameters and delay in the class of stochastic functional series of Voltaire and differential equations of Ito. In order to obtain mathematical descriptions of the system we have used homogenous models equivalent and majorizing processes in which are identical with the processes of the real stochastic dynamic pulse-frequency system of control of objects with delay. Obtained mathematical models of stochastic dynamic pulse-frequency systems of automatic control of objects with delay in the class of functional series of Voltaire and differential equations of Ito represent a further development of methods of description of “input-output” systems and “state space” and serve as a basis for developing methods of analysis and synthesis of the given class of automatic control systems.