挠性结构振动控制中压电致动器/敏感器的优化配置

针对挠性结构的主动振动控制问题,给出了粘贴有若干压电片的挠性梁的数学模型。基于结构模态的可控可观性,提出一种压电致动器/敏感器同位位置的优化方法。该方法利用模态在可控可观性子空间上的正交投影来反映可控可观性的测度,并根据各阶模态在系统输出中的相对重要程度加权模态可控可观测性测度,由此得到致动器/敏感器的优化配置指标。通过数学仿证明了该优化方法的有效性。

Optimal placement of piezoelectric actuators / sensors in active control of flexible structure

A new method of finding the optimal locations of piezoelectric sensors and actuators in active vibration suppression of flexible structure is presented based on the modal controllability and observaibility. The basic equations of the flexibel structure bonded with piezoelectric sensors/actuators is derived. Utilizing the orthogonal projection of structural modes into the intersection subspace of the controllable and observable subspaces to reflect the degrees of controllablity and observability, the optimal placement indices of the cadidate actuatros/sensors locations are obtained by means of the degree of controllability and observability properly weighted according to the modal contribution to output of system. The simulation results show that the vibration of flexible structure can be suppressed efficiently by using the optimized actuators/sensor.