Abstract This paper derives a control solution for mitigation of Parametrically excited vibration of taut cable in cable-truss couple system, which ensures safe and stable regulation for cable towards the desired patterns. The dynamic characteristics with periodic perturbation and the parametrically excited instability of cable are both analyzed; the physical factors of damping influence on the cable are investigated and demonstrated. Based on the linear quadratic regulator principle (LQR), the optimal control algorithms are presented, which play an effective role in suppressing the the vibration distribution and improving significantly the transverse stability of the inclined cable system. The simulation results demonstrate the validity and effectiveness of the presented control method.

中文翻译：

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并联电缆驱动调节系统中自激电缆的振动抑制

摘要 本文推导出一种控制方案，用于减轻索桁耦合系统中拉紧电缆的参数激励振动，以确保将电缆安全稳定地调整为所需的模式。分析了电缆的周期性扰动动态特性和参数激励不稳定性；研究并论证了阻尼对电缆影响的物理因素。提出了基于线性二次调节原理(LQR)的优化控制算法，对抑制斜拉索系统的振动分布，显着提高斜拉索系统的横向稳定性起到了有效的作用。仿真结果证明了所提出的控制方法的有效性和有效性。