The channel model with random transmission delays and loss of data packets for networked control systems

Control systems using a network channel for communication between the elements are called network management systems. Using networks to connect geographically distributed components of the system has a number of advantages, such as reducing the cost of system installation, compact size and weight, ease of diagnostics and system maintenance, and increased flexibility. Nevertheless, the use of networks has also created new problems that did not exist in conventional control systems. These issues should include a random time transmission over the network from one device to another network device, possible loss of data packets during transmission, an asynchronous mode of operation control system components. Network features make analysis, modeling, and management of network management systems more complex and difficult task. This complexity is due primarily to the fact that such systems require complex research, including research on the theory of communication and control theory. One of the challenges in the modeling of management systems, is a simulation of the transmission channel. In this paper we propose an approach for modeling the particular case of the transfer process. Considered a network channel with a random delay and packet loss. It is assumed that the channel can simultaneously transmit multiple data packets. Time delay is modeled random distribution law Erlang appropriate order. The probability of packet loss depends on the arrival rate of data packets in the channel transmission and the parameters of the law Erlang distribution. A model of the channel as a series connection of discrete elements. Discrete produce independent quantization of the input signal. This representation allows to model the random data. The formula for determining the probability of packet loss during transmission.