Development of an Operator’s Mathematical Model in a Man-Machine Control System

The human-operator performs important functions related to the control of manufacturing human-machine systems. Human-operator can be considered as a nonlinear dynamic link in a closed loop of industrial control process. The operator’s control actions are of a complex nature and consist of deterministic and random components. Accordingly, there are two main components to the operator’s response – deterministic part and stochastic part, referred to as the remnant part. To identify the dynamic operator model, experimental studies of operator actions during SISO-type operation were performed. As a result of processing the obtained experimental data using the functions of System Identification Toolbox® library in MATLAB, it was established, that the deterministic part of the human operator’s reaction can be represented by an aperiodic link of the first order with a delay (P1D model). The remnant part of the human-operator reaction is proposed to be identified in the form of a second-order oscillating link and a differentiating link connected in series. The adequacy of the proposed mathematical model of the human operator is confirmed.