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

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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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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