Operator-based nonlinear free vibration control of a flexible plate with sudden perturbations

2019 ◽  
Vol 42 (7) ◽  
pp. 1375-1387
Author(s):  
Guang Jin ◽  
Mingcong Deng
Keyword(s):  
Free Vibration ◽  
Vibration Control ◽  
Dynamic Model ◽  
Piezoelectric Actuator ◽  
Experimental Result ◽  
Flexible Plate ◽  
Design Scheme ◽  
Hysteresis Nonlinearity ◽  
Control Scheme ◽  
Nonlinear Vibration Control

In this paper, a new nonlinear vibration control scheme using piezoelectric actuator is proposed for a flexible plate with a free vibration and sudden perturbations. First, the effect of hysteresis nonlinearity from the piezoelectric actuator is considered by Prandtl-Ishlinskii (P-I) hysteresis model. Simultaneously, a dynamic model of the flexible plate with piezoelectric actuator is considered. Then, based on the dynamic model of the flexible plate, operator-based controllers are designed to guarantee the robust stability of the nonlinear control system. In addition, for ensuring the desired vibration control performance of the flexible plate with a free vibration and sudden perturbations, operator-based compensation method is given by the proposed design scheme. In the designed compensator, the desired compensation performances of tracking and of perturbations are obtained by increasing the number of designed n-times feedback loops. Finally, both of numerical simulation and experimental result are shown to verify the effectiveness of the proposed design scheme.

Operator-based experimental studies on nonlinear vibration control for an aircraft vertical tail with considering low-order modes

2016 ◽  
Vol 38 (12) ◽  
pp. 1421-1433 ◽  
Author(s):  
Yuta Katsurayama ◽  
Mingcong Deng ◽  
Changan Jiang
Keyword(s):  
Vibration Control ◽  
Experimental Studies ◽  
Control Design ◽  
Piezoelectric Actuators ◽  
Nonlinear Feedback ◽  
Coprime Factorization ◽  
Hysteresis Nonlinearity ◽  
Control Scheme ◽  
Piezoelectric Elements ◽  
Low Order

In this paper, a robust nonlinear control design using an operator-based robust right coprime factorization approach is considered for vibration control on an aircraft vertical tail with piezoelectric elements. First, a model of the aircraft vertical tail is derived to describe vibration response using the operator-based approach, where, to stabilize vibration of the tail, piezoelectric elements are used as actuators and a hysteresis nonlinear property of piezoelectric actuators is considered. Simultaneously, positions of the piezoelectric actuators that are stuck on the plate are arranged by using a finite element method. Then based on the obtained operator-based model, a robust nonlinear feedback control design is given by using robust right coprime factorization for the aircraft vertical tail with considering the effect of hysteresis nonlinearity from piezoelectric actuators. In particular, low-order modes are employed to design the control scheme even though vibration is configured by high-order modes. In other words, robustness is considered, and the desired performance of tracking is discussed. Finally, both simulation and experimental results are shown to verify the effectiveness of the proposed control scheme.

High Precision Tracking Control Using Piezoelectric Actuator Network

2005 ◽  
Author(s):  
X. Xue ◽  
J. Tang
Keyword(s):  
Sliding Mode Control ◽  
High Precision ◽  
Piezoelectric Actuator ◽  
Tracking Control ◽  
Sliding Mode ◽  
The State ◽  
Control Action ◽  
Minimum Phase ◽  
Hysteresis Nonlinearity ◽  
Control Scheme

Although piezoelectric actuators have been widely used in active control, the hysteresis nonlinearity and the non-minimum phase characteristic could potentially deteriorate the system performance, especially in high precision control applications under disturbance. In this study, a resistance/inductance circuit is connected to the piezoelectric actuator to form an actuator network. With the actuator dynamics, the system model can be directly cast into the state-space whereas the system nonlinearity appears as explicit functions of the state variables. We then develop an integral continuous sliding mode control scheme to tackle the hysteresis nonlinearity and the disturbance issues. Instead of inverse hysteresis cancellation which might not be reliable due to the measurement noise, a direct piezoelectric hysteresis compensation can be achieved using this control strategy. The newly developed control scheme combines the advantages of both integral control and continuous sliding mode control with cubic state feedback. Not only can the control action react efficiently and effectively for the non-minimum phase response, but also, a zero steady state tracking error is guaranteed. Detailed analysis and case studies demonstrate that this new methodology can lead to improved tracking control precision, enhanced control robustness, and smoother control action.

Dynamic model for free vibration and response analysis of rotating beams

2013 ◽  
Vol 332 (22) ◽  
pp. 5917-5928 ◽  
Author(s):  
Hyungrae Kim ◽  
Hong Hee Yoo ◽  
Jintai Chung
Keyword(s):  
Free Vibration ◽  
Dynamic Model ◽  
Response Analysis ◽  
Rotating Beams
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