一类非线性不确定结构系统的鲁棒饱和主动控制

对一类非线性不确定结构系统研究了在外部干扰下的鲁棒饱和主动控制策略.将质量、阻尼、刚度矩阵都存在不确定的结构系统描述为一种不确定中立系统,采用鲁棒饱和主动控制策略,提出基于线性矩阵不等式的代数解.通过提出的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4层建筑大楼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.

Robust saturating active control for a class of structural systems with nonlinear perturbations

In this paper,the active control strategy with robustness and saturation is investigated for the structural systems with nonlinear uncertainties and exogenous disturbances.The perturbation in the mass,damping and stiffness matrices of the considered plant leads to a uncertain neural system,for which robust saturating vibration control laws are provided in terms of algebraic solutions based on linear matrix inequality.It is shown that the robustness against the modelling and parametric perturbations,controll...