Nonlinearity is an important characteristic in electrostatic suspension system (ESS). This paper concludes the nonlinear parts in ESS, which generally result from the relationships between rotor displacement and capac...Nonlinearity is an important characteristic in electrostatic suspension system (ESS). This paper concludes the nonlinear parts in ESS, which generally result from the relationships between rotor displacement and capacitance, rotor displacement and electrostatic force, and control voltage and electrostatic force. In terms of the nonlinearities, a new control method with modified internal model control (IMC) was proposed to analyze the ESS, deduce the transfer function of the modified IMC controller in ESS, and simulate this new application in ESS. Comparing with proportional integral derivative (PID) control, IMC has only a parameter, and has better performance. As a result, IMC solves nonlinearity error well in ESS with only one uncertain parameter, and performs well when the rotor has large displacement.展开更多
In order to research the vibration law of electrostatic suspension systems in the vertical direction, the mathematical model as a nonlinear differential equation is established. A series of simulation is carried out. ...In order to research the vibration law of electrostatic suspension systems in the vertical direction, the mathematical model as a nonlinear differential equation is established. A series of simulation is carried out. The results show that the solution of the differential equation is a periodic function. The amplitude becomes bigger with the original velocity increased. The period becomes smaller with the original velocity increasing. The numerical methods are presented to derive the amplitude and the frequency, and the results coincide with that of the simulation. The condition during which the simple harmonic vibration arises is pointed out. The expressions for the amplitude and the period of simple harmonic vibration are derived respectively, and the results are the same with that of the simulation. This study is helpful for researching the vibration characteristics of the electrostatic suspension system. The external disturb should be controlled to lower the amplitude and the frequency of the vibration.展开更多
针对静电悬浮加速度计高稳定悬浮控制和极微小加速度信号处理需求,设计了一种基于数字信号处理(digital signal processor,DSP)和现场可编程门阵列(field programmable gate array,FPGA)的加速度计控制器。该控制器采用DSP作为主控芯片,...针对静电悬浮加速度计高稳定悬浮控制和极微小加速度信号处理需求,设计了一种基于数字信号处理(digital signal processor,DSP)和现场可编程门阵列(field programmable gate array,FPGA)的加速度计控制器。该控制器采用DSP作为主控芯片,FPGA为辅助控制芯片。基于加速度计的工作特性,设计了一种加速度计工作模式切换控制策略,可根据加速度计当前工作状态,自动或者手动切换工作模式。基于加速度计的工作原理和测量需求,设计开发了基于FPGA的比例、积分、微分(proportional integral derivative,PID)控制算法和有限冲击响应(finite impulse response,FIR)滤波算法。为验证该控制器的控制性能,开展了地面高压悬浮实验。结果表明,该控制器及控制算法可以快速准确地实现加速度计稳定悬浮控制和模式切换,并且可以实现软件在轨重构和控制参数在轨更新,为后续重力场探测、空间引力波探测以及自主导航等提供了工程参考依据。展开更多
基金Weaponry Advanced FundItem of China(No51409030101JW03)
文摘Nonlinearity is an important characteristic in electrostatic suspension system (ESS). This paper concludes the nonlinear parts in ESS, which generally result from the relationships between rotor displacement and capacitance, rotor displacement and electrostatic force, and control voltage and electrostatic force. In terms of the nonlinearities, a new control method with modified internal model control (IMC) was proposed to analyze the ESS, deduce the transfer function of the modified IMC controller in ESS, and simulate this new application in ESS. Comparing with proportional integral derivative (PID) control, IMC has only a parameter, and has better performance. As a result, IMC solves nonlinearity error well in ESS with only one uncertain parameter, and performs well when the rotor has large displacement.
基金This study is supported by the National Natural Science Foundation (No.50375113).
文摘In order to research the vibration law of electrostatic suspension systems in the vertical direction, the mathematical model as a nonlinear differential equation is established. A series of simulation is carried out. The results show that the solution of the differential equation is a periodic function. The amplitude becomes bigger with the original velocity increased. The period becomes smaller with the original velocity increasing. The numerical methods are presented to derive the amplitude and the frequency, and the results coincide with that of the simulation. The condition during which the simple harmonic vibration arises is pointed out. The expressions for the amplitude and the period of simple harmonic vibration are derived respectively, and the results are the same with that of the simulation. This study is helpful for researching the vibration characteristics of the electrostatic suspension system. The external disturb should be controlled to lower the amplitude and the frequency of the vibration.
文摘针对静电悬浮加速度计高稳定悬浮控制和极微小加速度信号处理需求,设计了一种基于数字信号处理(digital signal processor,DSP)和现场可编程门阵列(field programmable gate array,FPGA)的加速度计控制器。该控制器采用DSP作为主控芯片,FPGA为辅助控制芯片。基于加速度计的工作特性,设计了一种加速度计工作模式切换控制策略,可根据加速度计当前工作状态,自动或者手动切换工作模式。基于加速度计的工作原理和测量需求,设计开发了基于FPGA的比例、积分、微分(proportional integral derivative,PID)控制算法和有限冲击响应(finite impulse response,FIR)滤波算法。为验证该控制器的控制性能,开展了地面高压悬浮实验。结果表明,该控制器及控制算法可以快速准确地实现加速度计稳定悬浮控制和模式切换,并且可以实现软件在轨重构和控制参数在轨更新,为后续重力场探测、空间引力波探测以及自主导航等提供了工程参考依据。
