基于特征结构配置的结构主动控制及仿真

Structural Active Control Based on Eigenstructure Assignment and Its Simulations

考虑了具有最优控制的结构主动控制问题,目的是在系统满足闭环特性的前提下,设计状态反馈控制器使得系统性能泛函极小化。利用特征结构配置方法提供的自由度,给出了性能泛函的显示参数化表示,从而该问题转化为带有约束条件的优化问题,参与优化的变量仅为一组参量。并给出了求解该优化问题的算法,该算法直接基于结构系统矩阵,故其简单性为工程应用提供方便。地震作用下对三层剪切结构建筑模型进行仿真分析,结果表明所提结构主动控制方法的有效性。

The design of structural active control with minimum control effort was investigated. The aim is to design a state feedback controller, that the closed-loop system has desired eigenvalues, and a system performance function is optimized. By utilizing design degrees of freedom offered by parametric eigenstructure assignment, a parametric expression for the system performance index was proposed. Thus the optimization problem was changed into a minimization problem with some constraints and the optimized variables are a group of parameters. An algorithm was proposed for this minimization and utilized the original system data, and thus it is simple to use in applications. A three-story shearing model under earthquake excitation was analyzed by using the proposed algorithm and the simulation results show the effect of this algorithm.