Finite time stabilization control method for fractional order centrifugal flywheel speed regulation system
A finite-time, speed-regulating system technology, applied in control/regulation systems, adaptive control, general control systems, etc., can solve unmodeled dynamics that are susceptible to external disturbances, system parameter uncertainty, and fractional-order systems that cannot be realized Problems such as sedation for a limited time, to improve the identification effect and ensure the effectiveness
Active Publication Date: 2021-10-01
JINLING INST OF TECH
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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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[0077] Below in conjunction with accompanying drawing and specific embodiment the present invention is described in further detail:
[0078] The invention provides a finite-time stabilization control method for a fractional-order centrifugal flywheel speed regulation system. The invention studies the self-adaptive stabilization problem of a class of practically applied fractional-order systems based on sliding mode control technology. Applying the fractional-order calculus theory to the construction of the sliding mode surface can solve the finite-time control problem of the fractional-order system well, and fill the gap in the research achievements of the fractional-order system.
[0079] The application principle of the present invention will be described in detail below in conjunction with the accompanying drawings.
[0080] Such as figure 1 As shown, a finite-time adaptive sliding mode control method for fractional order systems mainly includes the following steps:
[00...
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The finite-time stabilizing control method of the fractional-order centrifugal flywheel speed-regulating system specifically includes the following steps: establishing the mathematical model of the fractional-order centrifugal flywheel speed-regulating system from the electromechanical equation of the centrifugal flywheel speed-regulating system; performing fractional-order Sliding mode surface design; determine the adaptive update law of unknown parameters in the fractional-order mathematical model; determine the finite-time controller of the controlled system according to the finite-time control theory; verify the finite-time stability of the fractional-order controlled system based on the Lyapunov stability theory. The invention can realize the finite-time stabilization of the fractional-order centrifugal flywheel speed regulation system, and realize that the state trajectory converges to zero within a finite time. Especially when there are disturbances and uncertainties with unknown upper bounds in the system, the proposed controller can improve the robustness of the controlled system and overcome the influence of external disturbances and unmodeled 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 caused by 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 are easily affected by extern...
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IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 田小敏杨忠司海飞
Owner JINLING INST OF TECH