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Finite time stable sliding mode control method based on interval type-2 T-S model

A type-two, limited-time technology, applied in adaptive control, general control systems, control/regulation systems, etc., to reduce computational complexity, accurately describe, and improve effectiveness

Pending Publication Date: 2021-10-22
HANGZHOU DIANZI UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

Most of the existing technologies are researches on the type I T-S fuzzy control system, and there are few researches on the interval type II T-S fuzzy control system

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  • Finite time stable sliding mode control method based on interval type-2 T-S model
  • Finite time stable sliding mode control method based on interval type-2 T-S model
  • Finite time stable sliding mode control method based on interval type-2 T-S model

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Embodiment Construction

[0066] Below in conjunction with accompanying drawing, the present invention will be further explained;

[0067] Such as figure 1 As shown, the finite-time stable sliding mode control method based on the interval-type T-S model includes:

[0068] Establish the mathematical model of the ideal permanent magnet synchronous motor system in the stationary α-β coordinate system:

[0069]

[0070]

[0071] where t is time, i α ,i β , u α , u β ,e α ,e β are the current, voltage, and induced back electromotive force in the α-β coordinate system, R is the resistance, L α , L β It is the inductance parameter in the α-β coordinate system.

[0072] The mathematical model of the permanent magnet synchronous motor is described by using the IF-THEN rule of the interval-type T-S model:

[0073]

[0074]

[0075] in,

[0076] Add the membership function to defuzzify the mathematical model of the permanent magnet synchronous motor under the interval type 2 T-S model, de...

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Abstract

The invention discloses a finite time stable sliding mode control method based on an interval type-2 T-S model. Firstly, a mathematical model of a permanent magnet synchronous motor is converted into an interval type-2 T-S fuzzy model; and because only boundary information of a membership function in the interval type-2 fuzzy system is known, an observer is designed to predict the state of the system, and then a sliding mode surface and a sliding mode control law are designed. The accessibility of the system state track on the sliding mode surface is analyzed, then finite time stability conditions of different stages are obtained through a partitioning strategy, and gains of a state observer and a sliding mode controller are obtained in sequence. According to the method, the operation process of the permanent magnet synchronous motor is described by using the interval type-2 T-S model, and the operation of the motor is controlled by using sliding mode control, so that the uncertain variables of the system can be processed, and the calculation complexity can be reduced. Therefore, by using the interval type-2 fuzzy set function to model the system, the system description is more accurate, and the control method is more effective.

Description

technical field [0001] The invention belongs to the field of control science and control engineering, and relates to a limited-time stable sliding mode control method based on an interval-type T-S model. Background technique [0002] Permanent magnet synchronous motor (PMSM) is a typical nonlinear multivariable coupling system. When it is running as a servo motor, it will be perturbed by parameters such as moment of inertia, electromagnetic interference, and system friction, as well as external uncertain disturbances and external The influence of the load torque, these influences will make the control effect of the traditional PI controller worse, and may even cause the motor to run out of control. So we need to find a new method to improve the control effect of the motor. Sliding mode control is robust to internal parameter perturbations and external disturbances. [0003] Interval type II T-S fuzzy control system is one of the popular research directions of nonlinear sys...

Claims

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Application Information

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IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 付世州许梦雅周绍生
Owner HANGZHOU DIANZI UNIV