斜拉索-磁流变阻尼器多性能约束下的减振控制算法

Vibration-Reducing Control Algorithm for Cable-magnetorheological Damper System with Multi-performance Constraints

提出一种极点和方差指标约束下的斜拉索-磁流变减振控制算法。基于Halmiton原理与切比雪夫级数求解方法建立斜拉索-阻尼器减振控制系统状态空间方程。以极点表达减振控制快速性和稳定性约束,以方差表达小振幅和振速约束,基于凸优化理论,给出满足相容快速性、稳定性、小振幅以及振速指标约束下的磁流变半主动减振控制算法。最后,以某斜拉桥C20号斜拉索为例进行仿真验证。结果表明,给出的减振控制算法能保证斜拉索在随机外界激励下的快速性稳定性,且有效抑制拉索的振幅,减振效果良好。

The paper proposes a new vibration control algorithm for cable-magnetorheological damper system with pole and variance performance index constraints. The cable-damper vibration control state-space equation was established based on Halmiton principle and Chebyshev series method. The vibration control’s rapidity and stability is modeled as pole index, and the small vibration amplitude and the vibration velocity constraints is modeled as state variance index. Based on the convex optimization theory, the consistency between the given performance indexes is analyzed in detail. Subsequently a magnetorheological damper semi-active control algorithm is proposed, which meets the fast stability and small amplitude requirement. Finally, a cable-stayed bridge’s C20 cable is used as an example to simulate and verify the correction of the given vibration control algorithm. The results show that the proposed vibration-reducing control algorithm can guarantee the fast stability and small amplitude of cable-magnetorheological damper system under random external excitation condition.