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基于Lyapunov稳定性的自适应反馈主动隔振控制研究

A Study on the Adaptive Feedback Control Technology for Active vibration Isolation Based on Lyapunov Stability

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【作者】 张磊刘永光付永领何琳梁财海

【Author】 ZHANG Lei,LIU Yong-guang, FU Yong-ling,HE Lin, LIANG Cai-hai( Institute of Vibration &Noise, Naval University of Engineering, Wuhan 430033,China; School of Automation Science and Electrical Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China)

【机构】 武汉海军工程大学振动噪声研究所北京航空航天大学自动化学院

【摘要】 基于FXLMS算法的自适应前馈控制是主动隔振常用的控制方法,但该方法需要与振动干扰强相关的前馈信号,且控制器的调整与信号的统计特性密切相关。本文采用一种自适应反馈控制方法进行主动隔振,该方法基于内模控制原理,利用误差信号恢复出振动干扰,因此不需要通过直接测量得到与振动干扰相关的信号,且在理想情况下其结构等价于自适应前馈控制:控制器的权值基于Lyapunov稳定性原理进行调整,避免了控制器参数与信号统计特性相关的缺点;对于窄带振动干扰,误差次通道用其在振动频率处的幅值和相位延迟来表示,并给出相应的在线辨识方法,因此控制器参数调整不需要进行卷积计算,减少了计算量。仿真研究证实了所提出的次通道辨识方法和自适应反馈控制方法的有效性。

【Abstract】 Adaptive feedforward control technology based on the FXLMS algorithm is generally used in active vibration isolation(AVI), while it has the shortcomings such as the reference signal with strong correlation with the vibration disturbance is needed and the regulation of controller is related to the statistics of the signal. In this paper, an adaptive feedback control technology based on internal model control theory is presented. Its structure is equivalent to that of the feedforward control in ideal case, and the controller weights are adjusted based on the Lyapunov stability theory. For the periodic vibration, the secondary path can be represented with the amplitude and phase at one frequency, so convolution is avoided and computation is broken down. Simulation results verify the effectivity of modeling and control method.

  • 【会议录名称】 第二十三届中国控制会议论文集(上册)
  • 【会议名称】第二十三届中国控制会议
  • 【会议时间】2004-08
  • 【会议地点】中国无锡
  • 【分类号】TP273.2
  • 【主办单位】中国自动化学会控制理论专业委员会
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