压电柔性臂的传感器/致动器优化配置与振动主动控制

(厦门大学航空航天学院,福建 厦门 361005)

压电柔性臂; 传感器/致动器; 遗传算法; 模糊控制

Optimal configuration of sensors/actuators and active vibration control of a piezoelectric flexible beam
KANG Jianyun,BI Guo*

(School of Aerospace Engineering,Xiamen University,Xiamen 361102,China)

piezoelectric flexible beam; sensor/actuator; genetic algorithm; fuzzycontrol

DOI: 10.6043/j.issn.0438-0479.201806005

备注

以欧拉-伯努利(Euler-Bernoulli)悬臂梁为模型,对压电柔性臂系统的传感器/致动器的优化配置和振动主动控制问题进行推导,简化了智能压电柔性臂系统的动力学方程和压电传感/致动方程,并建立了系统状态空间表达式.从传感器/致动器对相应模态的贡献出发,给出一种考虑模态权重的目标函数,并采用遗传算法对同位配置时的传感器/致动器的优化配置进行研究.基于优化布局结果在柔性臂上黏贴压电致动器和传感器,建立模糊逻辑控制器,对柔性臂在自由衰减和持续激励的情况下分别进行振动主动控制实验.实验结果表明柔性臂在两种激励下的振动均得到到了有效抑制,所提出的优化配置方法和模糊控制策略是可行的.

Optimal configurations of sensors/actuators and active vibration control of a piezoelectric flexible beam system are presented in this paper.Using the EulerBernoulli cantilever beam as the model,we have derived the dynamic governing equation of the system,and have developed the state space expression of the dynamic system.In terms of the value of sensors/actuators equivalents modal contribution,we provide target functions of H2 norms about modal weights.Based on the same position,the optimization of sensor/actuator is studied using the genetic algorithm,and the optimization position is identified.A sensor and actuator are attached in the optimization position.A fuzzy logical controller is established.With the fuzzy control method,with the situation of free attenuation and persistent excitation,an experimental study is performed on the active vibration control of flexible cantilever beams.Experimental results show that elastic vibrations of free attenuation and persistent excitation are effectively suppressed using the fuzzy controller.Consequently,the proposed method of optimal configuration and fuzzy control proves feasible and effective.