Acceleration self-adaptive stabilization method of fractional order mechanical centrifugal speed regulator system

A technology of centrifugal governor and stabilization method, which is applied in the direction of adaptive control, control/regulation system, general control system, etc., and can solve problems such as chaotic oscillation

Active Publication Date: 2019-04-16
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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  • Acceleration self-adaptive stabilization method of fractional order mechanical centrifugal speed regulator system
  • Acceleration self-adaptive stabilization method of fractional order mechanical centrifugal speed regulator system
  • Acceleration self-adaptive stabilization method of fractional order mechanical centrifugal speed regulator system

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Embodiment Construction

[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 (rad) between the rotating shaft and the tie rod, 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 of a fractional order mechanical centrifugal speed regulator system. The accelerated self-adaptive stabilization method of the system comprises the following steps that a, the convergence speed of the system state is accelerated in a preset time by introducing a speed function; b, learning or approximating unknown nonlinearterms are carried out in a system mathematical model by using Chebyshev neural network, the expansion state tracking differentiator is designed to estimate the derivative of the virtual control input, and then the accelerated self-adaptive stability controller is constructed under the backstepping control framework. According to the acceleration self-adaptive stabilization method, the stability problem of the fractional order mechanical centrifugal speed regulator system under the condition of unknown parameters and disturbance, the acceleration stability problem at a given convergence rate and the problem of repeated derivation of a traditional inversion method are overcome, so that the problem of chaotic oscillation of the fractional order mechanical centrifugal speed regulator system is effectively solved.

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 Applications(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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