随机地震波干扰作用下不确定结构系统主动控制研究

英文篇名：Active control of uncertain structural systems under random earthquake interferences
中文刊名：江西理工大学学报
英文刊名：Journal of Jiangxi University of Science and Technology
作者：翁发禄 ; 梁礼明 ; 丁元春 ; 葛继
英文作者：WENG Falu ; LIANG Liming ; DING Yuanchun ; GE Ji ; School of Electrical Engineering and Automation ; Jiangxi University of Science and Technology ; School of Resources and Environmental Engineering ; Jiangxi University of Science and Technology
中文关键词：地震 ; 主动控制 ; 线性矩阵不等式 ; Lyapunov泛函
英文关键词：earthquake ; active control ; LMI ; Lyapunov functional
出版日期：2015-06-15
机构：江西理工大学电气工程与自动化学院;江西理工大学资源与环境工程学院;
年：2015
期：03
出版单位：江西理工大学学报

摘要

针对结构系统在随机地震波干扰作用下产生破坏结构的现象,论文基于Lyapunov稳定理论研究了随机地震波干扰作用下结构系统主动控制方法.首先,通过引入秩-1型向量描述结构系统的不确定性,获得了结构系统质量、阻尼及刚度摄动情况下的不确定状态空间模型.其次,基于Lyapunov稳定性理论及线性矩阵不等式技术,获得了基于线性矩阵不等式的系统H∞稳定的充分条件.通过采用Matlab工具箱求解矩阵不等式,即可获得具有‖z‖2<γ‖ω‖2性能的系统镇定控制器.最后,通过实例仿真验证了方法的有效性.
Aiming at the problem that structural systems are easy to be destroyed by random earthquake interferences, the paper concerns the active control of structural systems under random earthquake interference.Firstly, by introducing the rank-1 conception, an improved structural uncertainty description is developed.Secondly, based on Lyapunov theory and linear matrix inequality(LMI) technique, the LMI-based stable conditions for the closed-loop system to be are deduced. By solving the linear matrix inequality through Matlab toolbox, the controllers possessing the performance are established for the closed-loop systems. Finally,simulation results are given to show the effectiveness of the proposed theorems.

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