收稿日期: 2025-03-10
网络出版日期: 2025-05-26
基金资助
国家自然科学基金项目(52175093);广东省自然科学基金项目(2024A1515012070)
Vibration Control of Three-Flexible Beam Coupling System Based on Fuzzy Algorithm
Received date: 2025-03-10
Online published: 2025-05-26
Supported by
the National Natural Science Foundation of China(52175093);the Natural Science Foundation of Guangdong Province(2024A1515012070)
在航空航天领域,刚柔耦合结构凭借其高结构效率被广泛应用,但刚柔耦合效应的存在给振动主动控制带来了巨大挑战。为解决这一难题,该文以三柔性梁耦合系统为研究对象,开展振动主动控制研究。首先,搭建了三柔性梁耦合系统振动测控平台,利用压电传感器与驱动器实现振动信号的检测与抑制,在此基础上进行振动测量与控制算法设计。随后,通过有限元方法结合哈密顿变分原理建立系统动力学模型,在仿真环境下确定了系统自由振动的主要模态振型,引入模态坐标后采用模态截断法获取系统状态空间方程。同时,针对模型参数的不确定性,运用小波分析和跳蛛优化算法对系统状态空间方程参数进行了精确辨识。此外,考虑到系统存在非线性和参数不确定性,设计了基于高斯隶属函数的模糊逻辑控制器,用于抑制柔性梁的振动。仿真和实验结果表明,在相同控制饱和电压周期内,模糊逻辑控制器在抑制三柔性梁耦合系统振动时比大增益比例微分(PD)控制表现更优,它能在快速抑制大幅值振动的同时,以更快的速度抑制小幅值振动,有效缩短系统达到稳定状态的时间,显著提升振动控制效果。该文设计的基于高斯隶属函数的模糊逻辑控制器克服了刚柔耦合结构振动控制中非线性和参数不确定性的难题,相比传统大增益PD控制展现出了更强的适应性和更高的控制效率。
邱志成 , 李猛 , 李旻 . 基于模糊算法的三柔性梁耦合系统振动控制[J]. 华南理工大学学报(自然科学版), 2026 , 54(1) : 104 -114 . DOI: 10.12141/j.issn.1000-565X.250060
In the aerospace field, the rigid-flexible coupled structure is widely used due to its high structural efficiency. However, the existence of the rigid-flexible coupling effect poses a significant challenge to active vibration control. To address this issue, this paper takes the three-flexible beam coupling system as the research object and conducts active vibration control research. During the investigation, first, a vibration measurement and control platform for a three-flexible beam coupling system was established, and piezoelectric sensors and actuators were used to detect and suppress the vibration signals. Based on this, vibration measurement and control algorithm design were carried out. Subsequently, the system dynamics model was established by combining the finite element method with the Hamilton variational principle. The main modal shapes of the system’s free vibration in the simulation environment were determined, and the modal coordinates were introduced to obtain the state space equations of the system. At the same time, considering the uncertainty of model parameters, wavelet analysis and jump spider optimization algorithm were used to accurately identify the parameters of the system state space equations. In addition, considering the nonlinearity and parameter uncertainty of the system, a fuzzy logic controller based on Gaussian membership function was designed to suppress the vibration of the flexible beams. Simulated and experimental results show that, within the same control saturation voltage period, the fuzzy logic controller performs better than the large-gain PD (Proportional and Derivative) control in suppressing the vibration of the three-flexible beam coupling system. It can suppress the large-amplitude vibration quickly while suppressing the small-amplitude vibration at a faster speed, effectively shortening the time for the system to reach a stable state and significantly improving the vibration control effect. In summary, the fuzzy logic controller based on Gaussian membership function designed in this paper overcomes the nonlinearity and parameter uncertainty in the vibration control of rigid-flexible coupling structures, and shows stronger adaptability and higher control efficiency than the traditional large-gain PD control.
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