Vibration Control of Nonlinear Thermovisoelastic Plates with Embedded PZT Sensors and Actuators

建立了材料非线性和几何非线性热粘弹性板和热粘电层的鲁棒非线性控制和优化策略及数学模型。这些应用于确定嵌入式传感器和执行器的最佳数量，形状和位置，以快速有效地抑制不必要的振动。这些发展适用于仪器平台，卫星和印刷电路板，其中热，粘性和压电效应相互作用，以确定系统响应。通过将预测结果与实验结果进行比较，验证了这些进展。

Robust nonlinear control and optimization strategies, and mathematical models for a materially and geometrically nonlinear thermoviscoelastic plate and a thermoviscopiezoelectric layer are developed. These are applied to determine the optimum number, shapes and locations of embedded sensors and actuators required to suppress undesired vibrations quickly and efficiently. These developments apply to instrument platforms, satellites and printed circuit boards where thermal, viscous, and piezo effects interact to determine the system response. The developments are validated by comparing the predictions with experimentals findings.