基于特征结构配置的结构鲁棒控制算法及仿真

Structural robust control algorithm and simulation based on eigenstructure assignment

本文提出了结构系统的鲁棒主动控制算法,其目的是求取状态反馈控制律,在闭环系统具有希望特征值前提下,使得闭环系统特征值关于参数摄动具有最小的灵敏度。基于状态反馈特征结构配置参数化方法和矩阵特征值灵敏度分析理论,该问题转化为含有约束条件的优化问题,并给出了求解该鲁棒控制问题的算法。该方法给出了特征值灵敏度函数的参数化表示,且直接基于结构系统矩阵,故便于工程应用。三自由度层间剪切型结构地震作用下的仿真分析,表明所提方法的有效性。

This paper considers robust active control in a class of structural systems. It is aimed at designing a state feedback controller, such that the closed-loop system has the desired eigenvalues with minimum sensitivities with respect to system parameter perturbations. By utilizing the result of parametric eigenstructure assignment via state feedback and the sensitivity analysis theory of matrix eigenvalues, this robust control problem is changed into an optimization problem with certain constraints and an algorithm for this optimization problem is established. This algorithm offers a parametric expression for the eigenvalue sensitivity index and utilizes directly the original system data, thus it is convenient to use in practice. A three DOFs building model under earthquake excitation is analyzed by using the proposed algorithm and the simulation results show the effect of this algorithm.