关键词: 非线性黄金分割, 特征模型, 压电悬臂板, 振动主动控制

Abstract: The vibration problem of spacecrafts’ flexible appendages shaped as cantilever plate will be unavoidable when external disturbance excitation happens, including bending and torsional mode vibration and which will affect the stability and control accuracy of the system. Especially the lower amplitude modal residual vibration near the equilibrium point is hard to be suppressed. To solve this problem, nonlinear golden section adaptive control based on characteristic model and combined with non-linear switched logic integral damping algorithm is adopted to suppress the said vibration of cantilever plate quickly. Firstly, decoupling of bending and torsional modes is realized by optimal placement of piezoelectric sensors and actuators. Secondly, the piezoelectric smart cantilever plate is designed and built up, and the modal frequencies and frequency responses of bending and torsional modes are obtained by experimental identifications. Finally, several control methods are used to develop the experimental comparison researches for attenuating the bending and torsional mode vibration of the plate. The experimental results demonstrate that the adopted methods can suppress the vibration of cantilever plate quickly.

Key words: Active vibration control, Characteristic model, Nonlinear golden section, Piezoelectric cantilever plate