【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.更多还原

【Abstract】 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.更多还原