On the Possibility of Different Accuracy of Mathematical Modeling of a Mechanical Component and a Control Loop in Mechatronic Systems with Electric Drives

The current level of development of the element base of signal and power electronics and information technology makes it possible to implement control algorithms of any complexity in mechatronic systems. One of the main problems of any control method is to minimize the cost of all types of resources for its implementation. However, a necessary condition for the effective use of these approaches is the availability of an adequate mathematical nonlinear model of the control object based on the complex application of the relevant sections of analytical mechanics, applications of the nonlinear stability theory and mathematical control theory with incomplete information. On the other hand, estimates of the required degree of modeling accuracy must be obtained to ensure that strictly justified results are obtained. Excessive complication of the model directly complicates the analysis of the obtained results. It is shown how the complex application of the results of analytical mechanics, mathematical control theory, nonlinear stability theory can reasonably reduce the accuracy of the model for individual components of the system while maintaining the accuracy of the general nonlinear model.