Permanent magnet linear synchronous motor second type fuzzy fractional order sliding mode control system and method

Abstract

The invention provides a permanent magnet linear synchronous motor second type fuzzy fractional order sliding mode control system and method. According to the control technology, error amount is obtained according to subtracting of the given speed signals and the feedback speed signals of a permanent magnet linear synchronous motor servo system, a fractional order sliding mode surface is designed according to the error amount, a sliding mode control switching item is designed based on the fractional order theory, the product of the gain and the discontinuous function in the switching item is replaced by using an interval second type fuzzy controller, and the system is verified to be stable according to the Lyapunov function. The interval second type fuzzy controller and the fractional order sliding mode surface are introduced in the design, and the switching item based on the fractional order differential and integral theory is adopted so that buffeting can be effectively reduced. Meanwhile, the uncertainty problem existing in the fuzzy rules of the first type fuzzy system can also be solved so that the robustness of the system can be enhanced. Finally the robustness of the system can be enhanced by the method and the buffeting phenomenon of the system can be weakened.

Description

technical field [0001] The invention belongs to the technical field of numerical control, and in particular relates to a type-two fuzzy fractional-order sliding mode system and method of a permanent magnet linear synchronous motor. [0002] technical background [0003] As the important foundation of traditional machine manufacturing and heavy processing industry, CNC machine tools have put forward higher and higher requirements for high-speed and high-precision CNC machining technology with the development of society. The feed system of traditional CNC machine tools is mainly in the form of "rotary motor + ball screw". The positive and negative gaps, friction and elastic deformation between the intermediate links of this form increase the nonlinear error of the system, and it is difficult to limit it. High-speed, high-precision technical production requirements. [0004] The linear motor transmission cancels the intermediate mechanical transmission mechanism, overcomes the ...

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Problems solved by technology

The fuzzy sliding mode control theory is used to design the controller. This method has little dependence on the system model, can make full use of the information of control experts and has the advantages of considerable robustness, and reduces or avoids the chattering phenomenon of general sliding mode control, but The design of the ordinary fuzzy sliding mode controller uses a type-one fuzzy system. In practical applications, because the complex uncertainty boundary of the system structure may not be easy to obtain, the type-one fuzzy system will appear to be powerless, because it uses the exact membership function A type of fuzzy set represented by , which cannot directly deal with the uncertainty of its own fuzzy rules

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