Synthesis and Mathematical Modeling of a Machining Center Power Supply with a Digital Synergistic Control System

Abstract

Based on the results of a comparative analysis, the main advantages and disadvantages of traditional approaches to designing digital control systems for electric feed drives of machining centers have been revealed. It is shown that application of the methods of adaptive self-organizing control instead of classical principles of subordinate coordinate regulation is justified. A functional diagram and a mathematical model of the electric drive of the feed mechanism of a machining center with a digital system for adjusting the actuating body position are presented. The adjusting system has been created using a method of analytical design of aggregated discrete controllers that was developed in accordance with the synergistic control theory. The main stages of the synthesis of the discrete vector synergistic control law for an electric supply drive are described in complete nonlinear formulation, taking into account the elastic-viscous properties of the mechanical part of the drive and the time-varying shape of the position-specifying signal. Based on the analysis of the results of computational experiments, conclusions have been drawn as to the effectiveness of a synergistic approach as a tool for developing digital electric drives of machine tools with numerical program control. The operation of the digital synergistic control system and the aperiodic nature of transients by position have been shown to depend weakly on the jumplike changes in the parameters of the load on the shaft. Moreover, the high accuracy of performing technological settings in the mode of master signal tracing by the feeder actuating body has been confirmed.