An Acceleration Adaptive Stabilization Method for Fractional-Order Mechanical Centrifugal Governor System

A technology of centrifugal governor and stabilization method, applied in the directions of adaptive control, control/regulation system, general control system, etc., can solve problems such as chaotic oscillation, achieve chaotic oscillation suppression, suppress high-frequency oscillation, and solve the problem of computational expansion Effect

Active Publication Date: 2022-03-15
GUIZHOU UNIV
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Problems solved by technology

The invention overcomes the stability problem of the fractional-order mechanical centrifugal governor system in the case of unknown parameters and parameter disturbances, the acceleration stability problem at a given convergence rate, and the repeated derivation problem of the traditional inversion method, and then effectively solves the problem Chaotic Oscillation Problem of Fractional Order Mechanical Centrifugal Governor System

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  • An Acceleration Adaptive Stabilization Method for Fractional-Order Mechanical Centrifugal Governor System
  • An Acceleration Adaptive Stabilization Method for Fractional-Order Mechanical Centrifugal Governor System
  • An Acceleration Adaptive Stabilization Method for Fractional-Order Mechanical Centrifugal Governor System

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[0122] The present invention will be further described below in conjunction with the accompanying drawings and embodiments, but not as a basis for limiting the present invention.

[0123] Example. An acceleration adaptive stabilization method for a fractional-order mechanical centrifugal governor system, the mathematical model of the fractional-order mechanical centrifugal governor system can be written as:

[0124]

[0125] where α represents the fractional order, x 1 = φ, and x 3 = ω represents the state of the system, u 1 and u 2 Indicates control input, c indicates Caputo definition, f i (x 1 ,x 2 ,x 3 ), i=1,2,3 represent the function, ω 0 Indicates the specific speed (rad / s), φ indicates the angular position between the rotating shaft and the tie rod (rad), k indicates the proportional constant, F indicates the torsional load (N.m), w indicates the speed of the flywheel (rad / s), r represents a constant, C represents a constant, v represents a constant, φ 0 I...

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Abstract

The invention discloses an acceleration self-adaptive stabilization method for a fractional-order mechanical centrifugal governor system. The accelerated adaptive stabilization method of the system includes the following steps: a. introducing a speed function to accelerate the convergence rate of the system state within a preset time; The state-tracking differentiator estimates the derivative of the virtual control input, and then builds an acceleration adaptive stability controller under the backstepping control framework. The invention overcomes the stability problem of the fractional-order mechanical centrifugal governor system under the condition of unknown parameters and disturbance, the acceleration stability problem at a given convergence rate, and the repeated derivation problem of the traditional inversion method, and then effectively solves the problem Chaotic oscillation problem of fractional order mechanical centrifugal governor system.

Description

technical field [0001] The invention relates to a stabilization method of a nonlinear system, in particular to an acceleration self-adaptive stabilization method of a fractional-order mechanical centrifugal governor system. Background technique [0002] Mechanical Centrifugal Governor system is considered as one of the valuable rotating machines due to its wide application in Diesel Engines, Steam Engines and Gas Turbines etc. Preliminary research results indicate that mechanical centrifugal governor systems can exhibit a range of nonlinear behaviors. Among them, the inherent chaotic oscillation in the mechanical centrifugal governor system will lead to the deterioration of the system performance without taking effective measures. Some scholars have studied the dynamic behavior of autonomous and non-autonomous mechanical centrifugal governor systems under two different forms of external disturbance. Some scholars have discussed the complex dynamic behavior and chaotic path...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05B13/04
CPCG05B13/027G05B13/042
Inventor 罗绍华李少波杨观赐周鹏
Owner GUIZHOU UNIV
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