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周又和, 王记增. 基于小波理论的悬臂板压电动力控制模式[J]. 力学学报, 1998, 30(6): 719-727. DOI: 10.6052/0459-1879-1998-6-1995-182
引用本文: 周又和, 王记增. 基于小波理论的悬臂板压电动力控制模式[J]. 力学学报, 1998, 30(6): 719-727. DOI: 10.6052/0459-1879-1998-6-1995-182
A DYNAMIC CONTROL MODEL OF PIEZOELECTRIC CANTILEVERED BEAM-PLATE BASED ON WAVELET THEORY[J]. Chinese Journal of Theoretical and Applied Mechanics, 1998, 30(6): 719-727. DOI: 10.6052/0459-1879-1998-6-1995-182
Citation: A DYNAMIC CONTROL MODEL OF PIEZOELECTRIC CANTILEVERED BEAM-PLATE BASED ON WAVELET THEORY[J]. Chinese Journal of Theoretical and Applied Mechanics, 1998, 30(6): 719-727. DOI: 10.6052/0459-1879-1998-6-1995-182

基于小波理论的悬臂板压电动力控制模式

A DYNAMIC CONTROL MODEL OF PIEZOELECTRIC CANTILEVERED BEAM-PLATE BASED ON WAVELET THEORY

  • 摘要: 采用Daubechies小波理论的尺度函数变换,建立了由压电片感应器(sensors)的观测电量识别悬臂板结构变形的一一对应显式关系,从而克服了传统模态方法因逆矩阵求解在某些情形下得不到保证而导致观测失效的不足.随后基于小波尺度函数变换,对于悬臂板建立了具有位移与速度信号反馈的压电致动控制动力模式.由于小波尺度函数逼近具有自动滤除高频分量的能力,建立的控制模式将不会出现由观测溢出与控制溢出耦会造成的不稳定性.数值结果表明:控制方法在抑制外界干扰方面要快于传统方法.

     

    Abstract: Based on the scaling function transform of the Daubechies wavelet theory, an oneto-one explicit relation betWeen electric signals measured in piezoelectric sensors and denectionof the plates is established in this paper, which overcomes the deficiency of conventional methodof modal analysis which sometimes leads to failure of measuring deformation of the plate whenthe inverse matrix in the method does not exist. After that, a dynamic control model for thepiezoelectric plates with feedback of negative deflec...

     

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