The model of the vertical machining center control system is usually not an easy task to establish an appropriate mathematical description for the actual control system. In addition to choosing a suitable modeling method, it is also necessary to deal with problems such as model simplification. . In order to accurately describe the mathematical relationship between the controlled quantity and the controlled quantity, various influencing factors and situations are generally involved, which often results in the relationship becoming very complicated.

The more accurate the relationship between the controlled quantity and the controlled quantity is, the more complex the mathematical model is. An overly complex model is neither convenient for research nor conducive to the realization of the control system. In order to avoid this situation, it is generally necessary to make some reasonable assumptions and simplifications in order to properly idealize the system. An idealized physical system is usually called a physical model. The mathematical description of the vertical cnc machining center model is the mathematical model. Therefore, when establishing a mathematical model, a compromise must be made between the simplification of the model and the accuracy of the analysis results. This requires not only a wealth of practical experience and a solid theoretical foundation, but also certain processing skills.

The modeling process of the vertical machining center is the process of adjusting the error of the control system, especially the controlled object. Only by accurately analyzing which physical variables and interrelationships are negligible and which are the factors that have a decisive influence on the accuracy of the model and must be considered can we establish a model that is simpler and more accurately reflects the actual powerless object. Whether a mathematical model of a vertical machining center control system is established or not is ultimately determined by experiments.

In order to facilitate the processing, the modeling problems encountered by the students in the learning process are generally carried out based on a given physical model, and rarely start directly from the actual controlled object.

Another problem often encountered in the mathematical model modeling of the vertical machining center control system is the linearization problem. Strictly speaking, actual physical systems are all linear systems, but the degree of nonlinearity is different. However, many systems can be approximated as linear systems under certain conditions. Linear systems have secondary and superimposability, which can greatly simplify the design and analysis of the system. The method often used in the control engineering of the vertical machining center is to first establish a simplified model that is as linear as possible, and then obtain the approximate characteristics of the system on this basis. If necessary, use more complex models for further research. This step-by-step approximate research method is a commonly used method in engineering.

The mathematical model of the control system of the vertical machining center is not a rich control system that can use linearization. For some systems with strong nonlinearity, it is better to use nonlinear research methods to deal with them.