模型不确定压电柔性结构的多目标振动控制

以压电柔性结构为对象,考虑其被控模态参数的不确定性和因剔除残余模态所引起的动态不确定性,建立了结构的不确定线性分式模型;根据不确定模型设计了一个对结构进行振动控制的动态输出反馈控制器,使闭环系统满足鲁棒稳定、扰动抑制、极点配置约束及控制输入约束等性能要求;并利用线性矩阵不等式,将具有多个性能要求的振动控制问题转化为具有线性矩阵不等式约束和线性目标函数的凸优化问题。最后以简支压电柔性梁为例,设计了一个融合多性能指标的动态输出反馈非同位控制器,并给出了仿真结果。

Multiobjective Vibration Control for Uncertain Flexible Structures

For flexible structures with piezoelectric material as actuators/sensors,taking the uncertainties due to modal parameters variation and unmodeled residual modes into account,a linear fractional representation is developed. Based on Linear matrix inequality,the vibration control problem with conflicting performance specifications,such as robust stability,damping ratio and decay rate requirement,disturbance rejection,actuator saturation constraints,is transformed into a linear convex optimization one,and the validity of the approach is verified via a simulation.