Vibration Control of Piezoelectric Cantilever Beam Based on Fuzzy Sliding Mode [压电悬臂梁振动模糊滑模控制]

作者：Chen H.; Liu W.; Fang M.; Wu X.; Gao M.; Feng Y.

来源：Piezoelectrics & Acoustooptics, 2022, 44(6): 965-971.

DOI：10.11977/j.issn.1004-2474.2022.06.027

• buffeting
• fuzzy rule
• piezoelectric cantilever beam
• sliding mode control
• vibration

Aiming at the vibration problem of piezoelectric cantilever beams, a fuzzy sliding mode active control strategy is proposed so as to reduce the buffeting based on the suppressing of the vibration of cantilever beams. The state space equation of the piezoelectric cantilever beam is established by introducing the state vector into the motion equation of the homogeneous beam element and the piezoelectric beam element. The order of the piezoelectric cantilever beam model is reduced by the equilibrium truncation method so as to improve the calculation efficiency, and the fuzzy sliding mode controller is designed based on the reduced-order model. The buffeting phenomenon introduced by the sliding mode control can be reduced effectively by using the fuzzy rule to adjust the switching gain and using the saturation function to replace the sign function, and its stability is proved by using the Lyapunov function. The results show that the fuzzy sliding mode control based on the saturation function can not only control the vibration of piezoelectric cantilever, but also reduce the buffeting phenomenon.

• 单位
  南昌航空大学