非线性建筑结构振动的非光滑逆控制方法设计

doi:10.16182/j.issn1004731x.joss.17-0187

系统仿真学报 ›› 2019, Vol. 31 ›› Issue (6): 1172-1178.doi: 10.16182/j.issn1004731x.joss.17-0187

非线性建筑结构振动的非光滑逆控制方法设计

王建晖¹, 王清¹, 马克茂², 黄小芳³

1. 广州大学机械与电气工程学院,广东广州 510006;
2. 哈尔滨工业大学航天学院,黑龙江哈尔滨 150080;
3. 广州大学工程抗震研究中心,广东广州 510405

收稿日期:2017-05-02 修回日期:2017-07-12 出版日期:2019-06-08 发布日期:2019-12-12
作者简介:王建晖(1984-),男,湖南,硕士,实验师,研究方向为线性控制、非线性控制理论;王清(1963-),女,黑龙江,博士,副教授,研究方向为控制理论及其应用。
基金资助:
国家自然科学基金(51478132),广州市属高校科研项目(1201630173)

Design of Nonsmooth and Inversed Control Algorithm for Nonlinear Structural Vibration Control

Wang Jianhui¹, Wang Qing¹, Ma Kemao², Huang Xiaofang³

1. School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, China;
2. School of Astronautics, Harbin Institute of Technology, Harbin 150080, China;
3. Engineering Earthquake Resistance Research Center, Guangzhou University, Guangzhou 510405, China

Received:2017-05-02 Revised:2017-07-12 Online:2019-06-08 Published:2019-12-12

摘要/Abstract

摘要： 针对地震波对非线性建筑结构振动性能影响,运用非光滑逆控制方法进行抑制,克服了传统的非线性结构近似线性化控制方法忽略非线性影响的缺点。根据Lyapunov稳定性理论和有限时间稳定性理论,论证了所设计控制方法能够实现非线性建筑结构振动的有限时间稳定。在控制方法实现中,应用扩张状态观测器进行未知干扰项的估计。以一幢受地震冲击的八层建筑为被控对象,并对仿真效果进行对比分析。结果表明,该非光滑逆控制方法具有良好的抗震性能。

关键词: 非线性建筑结构, 非光滑控制, 逆系统, 有限时间稳定, ESO

Abstract: Considering the vibration effects of seismic waves on building with nonlinear structures, a nonsmooth and inversed control algorithm is used to suppress the vibration. It overcomes the faults of ignoring nonlinear influence in traditional approximate linearization control method and suppresses the influence of seismic waves effectively. According to Lyapunov stable theory and finite-time stability theory, the proposed control method to realize the stability of the nonlinear structural vibration is demonstrated. In the realization of the control method, the extended state observer is used to estimate the unknown disturbances. The numerical simulation is conducted for an eight-story building influenced by the seismic waves, and the comparative analysis of simulated effect is carried out. The results show that the nonsmooth and inversed control algorithm has a good seismic performance.

Key words: nonlinear building structure, nonsmooth control, inverse system, finite-time stability, ESO

中图分类号:

王建晖, 王清, 马克茂, 黄小芳. 非线性建筑结构振动的非光滑逆控制方法设计[J]. 系统仿真学报, 2019, 31(6): 1172-1178.

Wang Jianhui, Wang Qing, Ma Kemao, Huang Xiaofang. Design of Nonsmooth and Inversed Control Algorithm for Nonlinear Structural Vibration Control[J]. Journal of System Simulation, 2019, 31(6): 1172-1178.

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非线性建筑结构振动的非光滑逆控制方法设计

Design of Nonsmooth and Inversed Control Algorithm for Nonlinear Structural Vibration Control

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