Sliding mode predictive vibration control of a piezoelectric flexible plate

2020 ◽  
Vol 32 (1) ◽  
pp. 65-81
Author(s):  
Zhi-cheng Qiu ◽  
Tao-xian Wang ◽  
Xian-min Zhang
Keyword(s):  
Vibration Control ◽  
Predictive Control ◽  
Small Amplitude ◽  
Sliding Mode ◽  
Vibration Measurement ◽  
Flexible Plate ◽  
Cantilever Plate ◽  
Residual Vibration ◽  
Torsional Mode ◽  
Displacement Sensors

A non-contact vibration measurement and control system for a piezoelectric-patched flexible cantilever plate is presented, using laser displacement sensors. Two laser displacement sensors are utilized to detect the deflection information of the two corners of the end of the flexible board, due to its high measurement accuracy for the small amplitude residual vibration. The vibrations of the first bending and torsional mode of the flexible plate can be extracted from the combined information. To achieve a desirable performance for the active vibration control, a kind of sliding mode predictive control strategy is developed to damp the vibration quickly. Simulation of the controller on bending and torsional vibration is conducted, based on the model built with finite element method. Furthermore, a piezoelectric flexible cantilever plate experimental setup is constructed. Experiments are conducted. The results of simulation and experiment both demonstrate the effectiveness of presented control scheme, compared with proportional and derivative control; the sliding mode predictive control can attenuate the vibration more quickly, particularly for the small amplitude residual vibration.

RBF neural network-based sliding mode vibration control of a flexible cantilever plate using laser displacement measurement

2016 ◽  
Vol 231 (8) ◽  
pp. 1492-1508 ◽  
Author(s):  
Zhi-Cheng Qiu ◽  
Si-Ma Zhang
Keyword(s):  
Neural Network ◽  
Vibration Control ◽  
Sliding Mode ◽  
Low Frequency ◽  
Displacement Measurement ◽  
Cantilever Plate ◽  
Vibration Signals ◽  
Decoupling Method ◽  
Displacement Sensors ◽  
Piezoelectric Cantilever

This paper is concerned with active vibration control of a flexible piezoelectric cantilever plate using a nonlinear radial basis neural network sliding mode control (RBFNN-SMC) algorithm and laser displacement measurement. In order to decouple the low-frequency vibration signals of the bending and torsional modes on measurement, two laser displacement sensors are used. The decoupling method is provided. A hyperbolic tangent function is used instead of the sign function, and the chattering phenomenon is alleviated. Also, the RBFNN is utilized to adjust the switching control gain adaptively to balance the chattering phenomenon and the control effect. The controllers for bending and torsional modes are designed independently. Experimental setup of the flexible piezoelectric cantilever plate with two laser displacement sensors is constructed. Experiments on vibration measurement and control are conducted by using the decoupling method and the designed controller, compared with the classical proportional and derivative (PD) control algorithm. The experimental results demonstrate that the proposed method can decouple the low-frequency bending and torsional vibration signals on measurement. Furthermore, the designed nonlinear RBFNN-SMC can suppress both the bending and torsional vibrations more quickly than the traditional linear PD controller, especially for the small amplitude residual vibration.

Distributed Observing and Active Control of a Cantilever Plate

1993 ◽  
Author(s):  
C. I. Tseng ◽  
H. S. Tzou
Keyword(s):  
Vibration Control ◽  
Piezoelectric Materials ◽  
Dynamic Performance ◽  
Active Vibration Control ◽  
Piezoelectric Sensor ◽  
Structural Vibration ◽  
Flexible Plate ◽  
Cantilever Plate ◽  
Piezoelectric Effects ◽  
Element Technique

Abstract Structural identification and vibration control of flexible systems have drawn much attention in recent years. This article presents an analytical study on a distributed piezoelectric sensor and a distributed actuator coupled with a flexible plate. The integrated piezoelectric sensor/actuator can monitor the oscillation as well as actively control the structural vibration by the direct/converse piezoelectric effects, respectively. Based on Love assumptions, theories on distributed sensing and active vibration control of a plate using piezoelectric materials are derived. By employing the finite element technique, the integrated structure is further discretized. Applications to the dynamic measurement is demonstrated and the dynamic performance of a cantilever plate is also evaluated.

Effect of crack on free vibration of a pre-stressed curved plate

2021 ◽  
pp. 095440622199486
Author(s):  
Can Gonenli ◽  
Hasan Ozturk ◽  
Oguzhan Das
Keyword(s):  
Finite Element ◽  
Free Vibration ◽  
Natural Frequency ◽  
Present Model ◽  
Mode Shapes ◽  
Load Parameter ◽  
Flexible Plate ◽  
Cantilever Plate ◽  
Finite Element Software ◽  
Aspect Ratios

In this study, the effect of crack on free vibration of a large deflected cantilever plate, which forms the case of a pre-stressed curved plate, is investigated. A distributed load is applied at the free edge of a thin cantilever plate. Then, the loading edge of the deflected plate is fixed to obtain a pre-stressed curved plate. The large deflection equation provides the non - linear deflection curve of the large deflected flexible plate. The thin curved plate is modeled by using the finite element method with a four-node quadrilateral element. Three different aspect ratios are used to examine the effect of crack. The effect of crack and its location on the natural frequency parameter is given in tables and graphs. Also, the natural frequency parameters of the present model are compared with the finite element software results to verify the reliability and validity of the present model. This study shows that the different mode shapes are occurred due to the change of load parameter, and these different mode shapes cause a change in the effect of crack.

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