Control method for finite time stabilization of fractional centrifugal flywheel speed regulation systems

Abstract

The invention discloses a control method for finite time stabilization of fractional centrifugal flywheel speed regulation systems. The control method specifically comprises the following steps of establishing a mathematical model of a fractional centrifugal flywheel speed regulation system via an electromechanical equation for centrifugal flywheel speed regulation systems; designing a fractionalsliding mode surface according to a fractional calculus theory; determining a self-adaptive updating law for unknown parameters in the fractional mathematical model; determining a finite time controller for a controlled system according to a finite time control theory; and verifying the finite time stability of the fractional controlled system on the basis of a Lyapunov stability theory. The control method is capable of realizing the finite time stabilization of the fractional centrifugal flywheel speed regulation systems and converging state tracks to zero in a limited time. Particularly, when the systems have interferences and uncertainly unknown by upper bounds, the controller can improve the robustness of the controlled system and overcome the influences of external disturbance and un-modeled dynamics.

Description

technical field [0001] The invention relates to the technical field of control of a centrifugal flywheel speed regulation system, in particular to a limited time stabilization control method for a fractional order centrifugal flywheel speed regulation system. Background technique [0002] The centrifugal flywheel speed control system is mainly used to automatically control the engine speed, mainly to avoid damage to the system due to sudden changes in load torque. Centrifugal flywheel speed control system is currently used in many high-speed rotating machinery, such as diesel engines, steam engines, etc. Recent studies have found that different centrifugal flywheel speed control systems have various nonlinear behaviors, such as regular, periodic, quasi-periodic and chaotic behavior. The fractional-order centrifugal flywheel speed control system has more special properties than the integer-order system. The system parameters are uncertain and susceptible to external disturba...

AI Technical Summary

Problems solved by technology

The fractional-order centrifugal flywheel speed control system has more special properties than the integer-order system. The system parameters are uncertain and are easily affected by external disturbances and unmodeled dynamics, which will affect the system control effect.

Due to the complexity of fractional-order operators, traditional sliding mode control schemes cannot achieve finite-time stabilization of fractional-order systems

[0003] In order to overcome the deficiency that the traditional sliding mode control scheme cannot realize the finite-time stabilization of the fractional-order system, the present invention proposes a finite-time adaptive control strategy for the fractional-order centrifugal flywheel speed regulation system

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