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Hysteresis nonlinear system parameter identification method based on extended state observer

An extended state observation, hysteresis nonlinear technology, applied in the field of hysteresis nonlinear system parameter identification, can solve the problems of complex identification process and reduce identification accuracy, and achieve the effect of overcoming coupling problems, reducing influence, and suppressing zero-mean noise.

Active Publication Date: 2016-12-14
HUAQIAO UNIVERSITY
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Problems solved by technology

Such an approximate processing method is too dependent on the intermediate variable of the hysteresis output, which reduces the identification accuracy and makes the identification process more complicated.

Method used

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  • Hysteresis nonlinear system parameter identification method based on extended state observer
  • Hysteresis nonlinear system parameter identification method based on extended state observer
  • Hysteresis nonlinear system parameter identification method based on extended state observer

Examples

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Embodiment 1

[0028] Parameter identification method of piezoelectric displacement system based on ESO.

[0029] right The piezoelectric displacement system of u(t)=H(v), y(t), Represent the output displacement, velocity and acceleration of the piezoelectric displacement system respectively; v(t) represents the input voltage of the system; W, D, F represent the mass, damping and stiffness coefficient of the system respectively. The true values ​​of the system parameters are W=1kg, D=0.15Ns / m, F=1M / m, α=1, β=1, γ=0.5. The system parameter is a 1 =D / W,a 0 =F / W, b=1 / W. Set up the system ESO, where the gain l 1 =300, l 2 =3000, l 3 =10 6 ; First, under the action of periodic input signals, the effectiveness of ESO for output state estimation of hysteretic nonlinear systems is verified by comparing the actual system output with the ESO output results.

[0030] Then set the initial value of the system parameter a 1 =a 0 =0,b 0 =0.5; the system input signal is set to v(t)=2.35[1+sin(...

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Abstract

The invention discloses a hysteresis nonlinear system parameter identification method based on an extended state observer (ESO). A periodic input signal with a central symmetry component and a direct current component is constructed by the property of a Bouc-Wen model, so that separation of a linear parameter and a nonlinear parameter is realized, and the coupling problem between the linear parameter and the nonlinear parameter is solved. In the hysteresis nonlinear system parameter identification method based on the ESO, a parameter is corrected continuously through iterative identification, and the accuracy is increased. Moreover, a least square method is adopted, so that optimal parameter identification of a system is realized under a noise condition. A calculation matrix is constructed in a form of periodic data accumulation, so that the influence of noise on parameter identification is lowered to a certain degree, and zero-mean noise can be well restrained particularly.

Description

technical field [0001] The invention relates to the field of engineering systems, in particular to a parameter identification method for a hysteretic nonlinear system based on an extended state observer. Background technique [0002] Hysteresis nonlinearity widely exists in various practical engineering systems, such as smart material (piezoelectric ceramics, magnetostrictive materials, shape memory alloys) drive systems, mechanical gear transmissions, etc., making the hysteresis loop between the input and output of the system line, which restricts the control performance of the system, produces tracking errors and oscillations, and even causes system instability in severe cases. The complexity of the hysteretic system first manifests as multi-value mapping, that is, the system has multiple possible outputs under the same input, or multiple possible inputs under the same output. Secondly, it also shows memory, that is, the output of the system is not only related to the cur...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/17G06F30/20
Inventor 聂卓赟郭东生付婵君罗继亮马亦婧
Owner HUAQIAO UNIVERSITY