挠性梁振动控制中敏感器/致动器的优化配置

依据压电敏感方程和压电致动方程 ,给出了粘贴有若干压电片的挠性梁的数学模型 ;基于结构模态在可控可观性子空间上的正交投影 ,提出了压电敏感器 /致动器位置的优化设计方法 ,并将可控和可观格莱姆矩阵作为加权矩阵反映可控可观的测度。仿真计算结果表明 ,采用优化的压电敏感器 /致动器能够有效抑制悬臂梁的振动

Optimal Placement of Piezoelectric Sensors/Actuators in Vibration Control of a Flexible Beam

A method of finding the optimal locations of piezoelectric sensors and actuators for the control a of flexible structure is presented. The basic equations of the flexible structure bonded with piezoelectric sensors/actuators are derived. The method is based on the orthogonal projection of structural modes into the intersection subspace of the controllable and observable subspaces corresponding to the actuators/sensors. The controllability and observability grammians are then used to weight the projections to reflect the degrees of controllability and observability. This method produces the optimal locations of actuators/sensors. The simulation results show that the vibration of a flexible structure can be suppressed efficiently by using optimized actuators/sensors.