结构振动控制的非光滑控制算法及其应用

发布时间：2018-06-21 15:07

  本文选题：结构控制 + 非光滑控制　； 参考：《地震工程与工程振动》2016年05期

【摘要】：针对地震波对建筑结构振动性能的影响,应用非光滑控制算法抑制该振动。首先根据李亚普若夫稳定性理论和齐次系统有限时间稳定理论,论证了所设计控制算法能够实现建筑结构振动的有限时间稳定。在考虑模型带有5%结构参数不确定性的基础上,对1幢受地震冲击的3层建筑进行数值仿真,对比分析了无控制、LQG控制和非光滑控制条件下的振动情形。为了防止控制器出力过大造成建筑结构的破坏和实际难以实现,仿真中对控制力幅值全部加以限制。仿真结果表明,所设计的非光滑控制算法可使系统在有限时间内稳定,并具有良好的抗震性能和鲁棒性。
[Abstract]:Aiming at the influence of seismic wave on the vibration performance of building structure, the non-smooth control algorithm is applied to suppress the vibration. Firstly, according to the Lyapunov stability theory and the finite time stability theory of homogeneous systems, it is proved that the proposed control algorithm can realize the finite time stability of structural vibration. On the basis of considering the uncertainty of the model with 5% structural parameters, the numerical simulation of a three-story building subjected to earthquake shock is carried out, and the vibration conditions under the condition of uncontrolled LQG control and non-smooth control are compared and analyzed. In order to prevent the failure of the building structure caused by the excessive output of the controller and the difficulty in practice, the amplitude of the control force is restricted in the simulation. The simulation results show that the designed non-smooth control algorithm can make the system stable in finite time and has good seismic performance and robustness.
【作者单位】： 广州大学机械与电气工程学院;哈尔滨工业大学航天学院;广州大学工程抗震研究中心;
【基金】：国家自然科学基金项目(51478132)~~
【分类号】：TU352.1
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本文编号：2049172