Backstepping control method for nanoelectromechanical systems with output constraints and dead-zone inputs

A nano-electromechanical system, output constraint technology, applied in the direction of program control, adaptive control, general control system, etc., can solve the problems of chaotic control of nano-electromechanical system

Inactive Publication Date: 2018-05-15
HUAIYIN INSTITUTE OF TECHNOLOGY
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  • Description
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  • Application Information

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Problems solved by technology

[0005] The purpose of the present invention is to: provide a nano-electromechanical system backstepping control method with output constraints and dead-zone input, solve the chaos

Method used

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  • Backstepping control method for nanoelectromechanical systems with output constraints and dead-zone inputs
  • Backstepping control method for nanoelectromechanical systems with output constraints and dead-zone inputs
  • Backstepping control method for nanoelectromechanical systems with output constraints and dead-zone inputs

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Embodiment

[0177] Embodiment: In order to effectively suppress the chaotic oscillation of the nano-electromechanical system, first analyze its chaotic behavior in a dimensionless form; the nano-electromechanical system parameter value is V AC ∈(0,0.47), α=1, β=12, γ=0.338, μ=0.01, V b =3.8 and ω=0.5; in the initial condition (x 1 ,x 2 )=(0,0) and fixed bias voltage, the phase diagram and time history of the system are as follows Figure 8 shown; from Figure 8 (a) It can be seen that instantaneous chaos and regular motion appear near the center point near the origin; from Figure 8 (b) It can be seen that at V AC =0.045, beam oscillation appears near other central points; from Figure 8 (c) It can be seen that the regular motion produces homoclinic orbits after the transient chaotic response, and the amplitude of harmonic oscillation is obviously larger than Figure 8 (a)-(b); At this time, due to the influence of two unstable points near the fixed electrodes, the dynamic behavior ...

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Abstract

The invention discloses a self-adaptation back stepping control method for a nanometer electro-mechanical system with output constraints and asymmetric dead zone input. The method comprises the following steps that mathematical description is performed on the nanometer electro-mechanical system, and the chaotic behavior of the nanometer electro-mechanical system is analyzed; a first error vector e1 of a controller is constructed, a tangent barrier Lyapunov function is constructed, and then virtual control input is obtained; a neural network is utilized for approaching characteristics of a nonlinear function with the arbitrarily small error, a second error vector e2 of the controller is calculated, a Lyapunov function is constructed, and a nanometer electro-mechanical system controller with the output constraints and asymmetric dead zone input is obtained to complete the self-adaptation back stepping control method. According to the method, chaotic oscillation and dead zone shivering of the nanometer electro-mechanical system are effectively constrained, and the precision and robustness of the system are improved on the premise that it is ensured that output does not violate constraints.

Description

technical field [0001] The invention relates to a control method for a nanometer electromechanical system, in particular to a backstepping control method for a nanometer electromechanical system with output constraints and dead zone input. Background technique [0002] With the interdisciplinary integration of physics, biology, information, chemistry, and materials based on the nanoscale, the development of nanoscience and technology has brought about revolutionary changes in materials, devices, systems, and processing technologies. The continuous development and integration of nanotechnology and electromechanical systems have led to the development of highly integrated and intelligent devices for mass production. Nano-electromechanical systems have the advantages of ultra-small volume and mass, ultra-low power consumption, ultra-high sensitivity, and unique properties on the microscopic scale, which have aroused great interest and widespread attention. It is expected to be...

Claims

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Application Information

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IPC IPC(8): G05B13/04
CPCG05B13/042G05B2219/13103
Inventor 罗绍华侯志伟曹苏群
Owner HUAIYIN INSTITUTE OF TECHNOLOGY
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