Vibration control of two-connected piezoelectric flexible plate using nonlinear algorithm and T-S fuzzy controller

Abstract

This article focuses on the active vibration control of a kind of two-connected piezoelectric flexible plate. A finite element model of the connected plate integrated with distributed piezoelectric sensors and actuators is derived, including bending and torsional vibrations. In this model, two connected hinges are simplified as regular plate elements to facilitate the system. A modified optimization method based on the energy dissipation rate is used for the optimal placement of piezoelectric sensors and actuators. The bending and torsional vibrations of the two-connected plate can be decoupled on measurement and driving control, due to the appropriate placement of the lead zirconate titanate sensors and actuators. The proportional and derivative control, the proposed nonlinear controller, and T-S fuzzy control algorithms are applied to suppress the bending and torsional vibrations of the two-connected plate. The numerical simulation and experimental results demonstrate that the last two control algorithms can suppress the low-order bending and torsional vibration more effectively than that of the designed proportional and derivative control algorithm.