一种VSSFxLMS算法及其在多自由度微振动控制中的应用  

A VSSFxLMS algorithm and its application in multiple DOF micro-vibration control

作　　者：方昱斌 朱晓锦[1] 胡佳明 高志远[1] 苗中华[1] FANG Yu bin;ZHU Xiao-jin;HU Jia-ming;GAO Zhi-yuan;MIAO Zhong-hua(School of Mechatronic Engineering and Automation,Shanghai University,Shanghai 200444,China)

机构地区：[1]上海大学机电工程与自动化学院,上海200444

出　　处：《振动工程学报》2020年第3期467-476,共10页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(51575328)。

摘　　要：FxLMS算法常用于自适应振动控制研究领域,其固定步长导致不能同时获得快的收敛速度和小的稳态误差。针对多自由度压电结构振动主动控制,提出一种改进VSSFxLMS振动控制算法,通过利用反余切函数的特性优化算法步长的迭代规律,有效提升算法对于噪声干扰的鲁棒性,并给出该算法的动态性能与稳态性能分析。以压电结构微振动多通道控制为目标,在ADAMS软件中建立结构微振动主动控制仿真模型,通过与SIMULINK联合仿真观察振动控制算法实施效果。构建了基于压电堆作动器的多自由度主动隔振结构,以及相关测控单元与实验系统,进行了结构微振动主动控制实验与结果分析,验证了所提出振动控制算法的良好控制效果和鲁棒性。Filtered-x least mean square(FxLMS)algorithm is popular in adaptive vibration control.However,it could not obtain fast convergence speed and small steady-state error at the same time as its fixed step size.For the active vibration control of multiple degrees of freedom(DOF)with piezoelectric structure,an improved variable step size(VSS)FxLMS algorithm is proposed.The new algorithm optimizes the rule of step size updating through the characters of arc-cotangent function.Thus,the robustness of this VSSFxLMS algorithm with noise interference is improved effectively.Also,the dynamic and steady-state performance analysis is given in this paper.A 3-DOF simulation model for piezoelectric structure micro-vibration multi-channel control is established in ADAMS.And the effectiveness of the proposed algorithm is verified in co-simulation with ADAMS and SIMULINK.At last,a 3-DOF active vibration suppression structure with piezoelectric stack actuator is designed and assembled.A 3-DOF active micro-vibration control experimental system is set up based on it.Experiments with different noise level are implemented.The control effectiveness and robustness of the proposed VSSFxLMS algorithm are validated though extensive experiments and results analysis.

关 键 词：微振动主动控制 变步长(VSS) LMS算法 多输入多输出(MIMO) 压电结构 

分 类 号：TB535[理学—物理] TH113.1[理学—声学]