多指标约束的斜拉索滑模非脆弱减振控制

为了提高斜拉索-磁流变阻尼器减振控制系统的稳定性, 提出了一种多指标约束的滑模非脆弱减振控制算法. 基于线性矩阵不等式(LMI), 利用H∞性能指标和保性能指标分别用来抑制外界扰动, 保证系统渐近稳定且具有一定上界指标, 并以区域极点配置表征减振控制稳定性与快速性, 方差表征小振幅和振动速度. 将非脆弱状态反馈控制与滑模控制相结合, 得到了多指标约束的滑模非脆弱减振控制算法设计形式及方法. 在强度为0.1002高斯白噪声随机扰动下, 对某跨海大桥C18、C13号斜拉索进行算例仿真. 结果表明, 该算法不仅使减振控制系统具有较优的保性能上界指标和较小的抗扰性能指标, 同时使拉索振动状态幅值降低91.11%~92.50%, 收敛时间缩短76.67%~84.00%.

Non-fragile vibration damping control of stay cable with multi-index constraint

In order to improve the stability of the stay cable-magnetorheological damper control system, a sliding mode non-fragile guaranteed-performance damping control algorithm is proposed based on linear matrix inequality (LMI) multi-index constraints. The H∞ performance index and the guaranteed performance index are used to suppress the external disturbances, ensuring the asymptotic stability of the system with a certain upper bound index. The regional pole configuration is used to characterize the stability and fastness of the vibration reduction control. By combining non-fragile state feedback control with sliding mode control, the design scheme and method of sliding mode non-fragile cost-effective vibration damping control algorithm with multiple index constraints are obtained. Finally, the random disturbances are represented by Gaussian white noise with an intensity of 0.1002, and a case study is carried out on the stay cables C18 and C13 of a cross-sea bridge. The results show that the algorithm enables the vibration damping control system have a superior upper guarantee index and a smaller anti-interference performance index , while at the same time, the amplitude of the cable vibration state is reduced by 91.11%-92.50%, and the convergence time is shortened by 76.67%-84.00% respectively.