基于混合灵敏度设计的结构H_(∞)鲁棒半主动控制

Mixed-Sensitivity Design Based H_(∞) Robust Semi-Active Control for Structural Vibration

为兼顾基于磁流变阻尼器(MRD)的结构减振效果和控制算法的鲁棒性,提出了一种改进的H_(∞)鲁棒半主动控制方法.将基于干扰抑制问题的H_(∞)控制系统的设计转化为混合灵敏度求解问题,为了克服对工程经验的依赖性,并提高主动控制力的计算精度,提出利用鲸鱼优化算法对H_(∞)控制器的混合灵敏度加权函数进行带约束优化设计.利用限幅电压定律,将所设计的鲁棒控制器输出的主动控制力转换成MRD的控制信号,从而输出理想的阻尼力.研究结果表明:相较于其他4种半主动控制算法,本文所提出的控制算法具有更优越的综合控制性能.此外,该算法对地震波和结构参数的变化具有鲁棒性.

To ensure both the MRD-based(magnetorheological damper-based)structural vibration control effect and the robustness of the control algorithm,an advanced semi-active H_(∞)robust control strategy is proposed in this paper.The design of the H_(∞)control system is converted into the solution of a mixed sensitivity problem.In order to overcome the dependency on engineering experience and improve the accuracy of active control calculation,we use the whale optimization algorithm to make an optimization design with constraint of the mixed weighted sensitivity function of the H_(∞)control.Using the limited voltage law,we convert the active control put out by the designed robust controller into the control command of the MRD,so as to put out the desired damping force.Numerical analysis results based on a three-story Benchmark frame structure verify that the proposed control algorithm outperforms the other four semi-active control algorithms in terms of the comprehensive control performance and exhibits robustness in terms of the changes of the earthquake excitations and structural parameters.