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分散控制策略为解决大型土木结构的振动控制问题提供了新的途径。本文将重叠分散控制方法、线性矩阵不等式方法、静态输出反馈法、能量-峰值控制算法相结合,提出了重叠分散静态反馈能量-峰值控制方法。依据建筑结构的链型拓扑结构特点,建立了建筑结构地震振动响应的简化动力学模型。在求解每个重叠子系统的控制增益矩阵时,通过对状态矩阵添加一个微小的扰动矩阵,解决了在求解相应的线性矩阵不等式(LMI)时所遇到的计算困难问题。文中对美国加利福尼亚州规范(SAC)设计的20层Benchmark钢结构模型进行了数值模拟与计算。结果表明:全状态集中控制、速度反馈集中控制、重叠分散速度反馈控制、多重叠分散速度反馈控制的平均控制率分别达到了66.8%、61.8%、44.9%、31.8%,采用这些控制方法都获得了较好的控制效果;重叠分散控制策略增加了控制器设计的灵活性。
The decentralized control strategy provides a new way to solve the vibration control of large civil structures. In this paper, the overlapping decentralized decentralized static feedback energy-peak control method is proposed by combining overlapping decentralized control method, linear matrix inequality method, static output feedback method and energy-peak control algorithm. According to the characteristics of chain topology of building structure, a simplified dynamic model of seismic response of building structure is established. When solving the control gain matrix of each overlapping subsystem, the computational difficulties encountered in solving the corresponding linear matrix inequality (LMI) are solved by adding a small perturbation matrix to the state matrix. In this paper, the 20-layer Benchmark steel structure model designed by the California State Code (SAC) was numerically simulated and calculated. The results show that the average control rates of all state centralized control, speed feedback centralized control, superposition decentralized speed feedback control and multi-superposition distributed speed feedback control reach 66.8%, 61.8%, 44.9% and 31.8% respectively. All these control methods are obtained A better control effect; overlapping decentralized control strategy to increase the flexibility of controller design.