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

A permanent magnet linear synchronization and fractional-order sliding mode technology, applied in the field of numerical control, can solve problems such as difficult to obtain uncertainty boundaries, powerlessness, and small model dependence, so as to weaken the chattering phenomenon, reduce chattering, and improve robustness. sticky effect

Active Publication Date: 2017-08-18
东能(沈阳)能源工程技术有限公司
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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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  • Permanent magnet linear synchronous motor second type fuzzy fractional order sliding mode control system and method
  • Permanent magnet linear synchronous motor second type fuzzy fractional order sliding mode control system and method
  • Permanent magnet linear synchronous motor second type fuzzy fractional order sliding mode control system and method

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[0198] The parameters of the permanent magnet linear synchronous motor are M=8kg, k f =50.7N / A,B v = 12 Ns / m. friction Thrust fluctuation F due to end effect rip =40cos(392l), v and l are the speed and displacement of the mover respectively.

[0199] Type II fuzzy fractional sliding mode parameters: k p =354,k i =0.001, α=0.98, (ω b ,ω h ) takes the value of (10 -3 ,10 3 ), N=2, the membership function of the interval type II fuzzy controller input s is as follows Figure 9 As shown, the membership function of the output Δu is as follows Figure 10 shown.

[0200] Based on the above parameters, when given v * =1m / s The motor starts with no load, and suddenly increases F at t=0.5s l =200N load disturbance, the velocity step response curves of the type-1 fuzzy sliding mode and type-2 fuzzy fractional-order sliding mode control systems are as follows Figure 11 Shown in dotted and solid lines. The experimental results show that the response time of the type-2 fuzz...

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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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Application Information

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IPC IPC(8): H02P21/00H02P25/06H02P25/022
CPCH02P21/0007H02P21/001H02P25/06
Inventor 孙宜标王亚朋刘春芳
Owner 东能(沈阳)能源工程技术有限公司
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