Adaptive Chaotic Control Method for Fractional Order Brushless DC Motor System
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A technology of brush DC motor and chaos control, which is applied in the field of adaptive chaos control of fractional-order brushless DC motor system, and can solve problems such as difficult research and complex adaptive chaos control
What is AI technical title?
AI technical title is built by PatSnap AI team. It summarizes the technical point description of the patent document.
A technology of brush DC motor and chaos control, which is applied in the field of adaptive chaos control of fractional-order brushless DC motor system, and can solve problems such as difficult research and complex adaptive chaos control
CN107592048BActive 📅 Publication Date: 2019-07-23CHONGQING AEROSPACE POLYTECHNIC COLLEGE
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[0062] The preferred embodiments of the present invention will be described in detail below in conjunction with the accompanying drawings; it should be understood that the preferred embodiments are only for illustrating the present invention, rather than limiting the protection scope of the present invention.
[0063] An adaptive chaos control method for a fractional-order brushless DC motor system, comprising the following steps: (1) firstly establish a fractional-order mathematical model of the brushless DC motor system, and use the estimated value of the state variable to replace the real state of the system to be observed variable to design a fractional-order high-gain observer; (2) Define the error vector, use the Chebyshev neural network to approximate the characteristics of the nonlinear function with an arbitrarily small error, and design a fractional-order Levant differential tracker to suppress the expansion of the differential term; (3) The fractional order Lyapunov ...
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Abstract
This invention discloses an adaptive chaos control method of the fractional-order brushless DC motor system which covers the following steps:(1) firstly build the fractional-order mathematical model of the brushless DC motor system, use the estimated values of state variables to substitute real state variables of the observed system wherein the fractional-order high-gain observer is designed, (2)define the error vector and employ the Chebyshev neural network to approximate nonlinear function with a small error, then design the fractional-order Levant tracking-differentiator to solve the repeated derivative associated with backstepping, (3)use the fractional-order Lyapunov function to obtain virtual and real control inputs, and deal with the stability analysis, meanwhile establish an adaptive chaos controller by the aid of the continuous frequency distributed model in the framework of backstepping. This invention not only guarantees the transient and steady state performance of the fractional-order brushless DC motor system, but also suppresses the chaotic oscillation.
Description
technical field [0001] The invention relates to a fractional-order brushless direct-current motor system, in particular to an adaptive chaos control method for the fractional-order brushless direct-current motor system. Background technique [0002] Brushless DC motor is an electronically driven stepless variable speed motor, which has many advantages such as good speed regulation performance, long life, easy maintenance, low noise, high power, and good dynamic response. Applications. However, brushless DC motors are exponentially sensitive to initial conditions, and the dynamics on the attractor exhibit chaotic motion, which is manifested in intermittent oscillations of speed and torque, unstable control performance, and irregular noises. It can be seen that the chaos phenomenon greatly affects the stability and safety of the brushless DC motor system, so it must be suppressed from the control method. [0003] The state variables of the fractional-order brushless DC motor...
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