具有非线性扰动与外部干扰的结构系统鲁棒H_∞控制

Robust H_∞ control for structural systems with nonlinear perturbations and exogenous disturbances

针对一类具有非线性不确定及外部扰动的结构系统,提出一种基于线性矩阵不等式的鲁棒H∞主动控制策略.当结构系统质量矩阵中存在摄动时,将其描述为一种中立不确定的动态模型系统,通过鲁棒H∞控制方法同时保证了结构系统在模型和参数摄动下以及在控制变量和扰动存在非线性不确定性时的鲁棒稳定.最后通过对一个单自由度建筑结构模型在地震波作用下的主动振动控制仿真证明了该方法的有效性.

A new robust H∞ control strategy with enhanced robustness for the structural vibration systems with nonlinear uncertainties and exogenous disturbances is presented. Particularly, due to the existence of perturbation in the mass matrix, the considered plant is described by a dynamical model with neutral uncertainty, or an uncertain descriptor （or singular） system. A novel direct robust vi- bration robustness against the modeling and parametric perturbations, controller variations and disturbance excitations can be guaranteed simultaneously. A numeral example of one-freedom structural svstem is orovided to show the efficiencv of the aooroach.