斜拉索-磁流变阻尼器非脆弱减振控制器研究
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国家自然科学基金项目(51675286)、浙江省教育厅一般科研项目(Y201941599)和浙江省大学生科技创新活动计划暨新苗人才计划项目(2018R405090)


Design of Non-fragile Damping Controller for Stay Cable-Magnetorheological Damper
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    摘要:

    以抑制振荡幅值和时间为目标,针对斜拉索-磁流变阻尼器外部扰动和减振控制器参数不确定性问题,提出一种多性能指标约束下的非脆弱减振控制器设计方法。基于线性矩阵不等式(LMI)理论,利用H∞性能指标抑制外部扰动,并以区域极点配置表征减振控制的快速性与稳定性,以方差表征小振幅和振动速度。通过Matlab中LMI工具箱对多LMI约束和线性目标函数的凸优化问题进行求解,给出了多性能指标约束的非脆弱减振控制器设计形式。以浙江省某跨海大桥C22、C13号斜拉索为实例,进行了仿真验证。结果表明,在不同随机扰动下,该方法设计的减振控制器使不同拉索振动状态的振幅分别降低57.805%、74.395%,收敛时间分别缩短56.705%、77.845%。

    Abstract:

    Aiming at suppressing the amplitude and time of oscillation, the uncertainties of the disturbance of unknown external disturbances of the stay cable-magnetorheological damper control system and uncertainties in the parameters of the damping controller. Based on linear matrix inequality (LMI) theory, the H∞ performance index and nonfragile control were used to suppress external disturbances and closed-loop system parameter perturbation problems, respectively. Regional pole configuration was used to characterize the fastness and stability of vibration reduction control, and variance was used to represent small amplitude and vibration speed. The LMI toolbox in Matlab was used to solve the convex optimization problem with multiple LMI constraints and linear objective functions, and a non-fragile vibration damping controller design form with multiple performance index constraints was given. Finally, the cablestayed cables C22 and C13 of a crosssea bridge in Zhejiang Province were taken as an example for simulation verification, and the vibration reduction effects were analyzed and compared. The results showed that the vibration damping controller designed by this method not only had good immunity and stability under different random disturbances, but also could reduce the amplitudes of different cable vibration states by 57.805% and 74.395%, the reduction of convergence time was 56.705% and 77.845%, and the vibration reduction effect was better, which could meet the needs of marine engineering applications.

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冯志敏,时云飞,张刚,刘小锋,段玉贺.斜拉索-磁流变阻尼器非脆弱减振控制器研究[J].农业机械学报,2020,51(5):411-420.

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  • 收稿日期:2020-01-07
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  • 在线发布日期: 2020-05-10
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