Hysteresis identification and adaptive vibration control for a smart cantilever beam by a piezoelectric actuator

Abstract This paper presents some experiments not only for depiction of hysteresis property but also for vibration suppression by designing an adaptive controller to a smart system consisted of a cantilever beam bonded with a piezoelectric actuator. The adaptive controller is composed of an identifier and the minimum variance direct control. With the identifier by employing the recursive extended least square method, an online controlled autoregressive moving average (CARMA) model for the smart beam is proposed to characterize the hysteresis phenomena between the output strain near the fixed end of the cantilever beam and the input voltage applied on the piezoelectric actuator. Based on the CARMA model, an adaptive controller is designed to control the vibration of the nonlinear smart system by using the minimum variance self-tuning direct regulator (MVSTDR). The MVSTDR has a significant advantage of trying to obtain an optimal control results for vibration suppression over the control process. The experiment results demonstrate that it is feasible to suppress vibration by the MVSTDR for the smart beam with the hysteresis property and show that the amplitude reduction quantity of the strain in the frequency spectrum analysis is up to about 83.67% with the adaptive controller at the first natural frequency when the smart beam is subjected to a free vibration.

[1]  Seung-Bok Choi,et al.  Vibration control of a camera mount system for an unmanned aerial vehicle using piezostack actuators , 2011 .

[2]  Vineet Sethi,et al.  Multimodal Vibration Control of a Flexible Structure using Piezoceramic Sensor and Actuator , 2008 .

[3]  Abdolreza Ohadi,et al.  Nonlinear vibration control of functionally graded plate with piezoelectric layers in thermal environment , 2011 .

[4]  Adrien Badel,et al.  Semi-active Vibration Control of a Composite Beam using an Adaptive SSDV Approach , 2009 .

[5]  Ilias Zazas,et al.  A recursive least squares based control algorithm for the suppression of tonal disturbances , 2012 .

[6]  Qinglei Hu,et al.  Robust adaptive sliding mode attitude control and vibration damping of flexible spacecraft subject to unknown disturbance and uncertainty , 2012 .

[7]  Adrien Badel,et al.  Semi-active Vibration Control of a Composite Beam by Adaptive Synchronized Switching on Voltage Sources Based on LMS Algorithm , 2009 .

[8]  Rajamohan Ganesan,et al.  Active vibration suppression of smart laminated beams using layerwise theory and an optimal control strategy , 2007 .

[9]  Yonghong Tan,et al.  Modeling hysteresis in piezoelectric actuators using NARMAX models , 2009 .

[10]  Kexiang Wei,et al.  Closed loop finite element modeling of piezoelectric smart structures , 2006 .

[11]  Zhi-cheng Qiu.  Adaptive nonlinear vibration control of a Cartesian flexible manipulator driven by a ballscrew mechanism , 2012 .

[12]  Jianda Han,et al.  Active vibration control of a flexible beam using a non-collocated acceleration sensor and piezoelectric patch actuator , 2009 .

[13]  W. Hunek,et al.  Pole-free vs. stable-pole designs of minimum variance control for nonsquare LTI MIMO systems , 2011 .

[14]  Hwan-Sik Yoon,et al.  Hysteresis-reduced dynamic displacement control of piezoceramic stack actuators using model predictive sliding mode control , 2012 .

[15]  Limin Zhu,et al.  High-speed tracking control of piezoelectric actuators using an ellipse-based hysteresis model. , 2010, The Review of scientific instruments.

[16]  Wei Wang,et al.  Neural network hysteresis modeling with an improved Preisach model for piezoelectric actuators , 2012 .

[17]  Thomas J. Royston,et al.  Nonlinear modeling of composite plates with piezoceramic layers using finite element analysis , 2008 .

[18]  Daniel J. Inman,et al.  Adaptive Modified Positive Position Feedback for Active Vibration Control of Structures , 2010 .

[19]  Qinglei Hu,et al.  Robust Backstepping Sliding Mode Attitude Tracking and Vibration Damping of Flexible Spacecraft with Actuator Dynamics , 2009 .

[20]  W. Zhu,et al.  A phenomenological model for pre-stressed piezoelectric ceramic stack actuators , 2011 .

[21]  R. Lerch,et al.  Modeling and measurement of creep- and rate-dependent hysteresis in ferroelectric actuators , 2011 .

[22]  J. Lin,et al.  Vibration Suppression Control of Beam-cart System with Piezoelectric Transducers by Decomposed Parallel Adaptive Neuro-fuzzy Control , 2009 .

[23]  Xinong Zhang,et al.  Adaptive vibration control of a cylindrical shell with laminated PVDF actuator , 2010 .

[24]  S. N. Mahmoodi,et al.  Modified acceleration feedback for active vibration control of aerospace structures , 2010 .

[25]  Ranjan Ganguli,et al.  Modeling and compensation of piezoceramic actuator hysteresis for helicopter vibration control , 2007 .

[26]  Bradley J. Buckham,et al.  Vibration control of a single-link flexible manipulator using an array of fiber optic curvature sensors and PZT actuators , 2009 .

[27]  X. Xue,et al.  Robust and high precision control using piezoelectric actuator circuit and integral continuous sliding mode control design , 2006 .

[28]  Nitesh P. Yelve,et al.  Active vibration control of cantilever beam by using PID based output feedback controller , 2012 .

[29]  Wojciech P. Hunek,et al.  Minimum variance control of discrete-time and continuous-time LTI MIMO systems - a new unified framework , 2009 .

[30]  Qinglei Hu,et al.  Robust Adaptive Attitude Tracking Control With L2-Gain Performance and Vibration Reduction of an Orbiting Flexible Spacecraft , 2011 .