A novel inverse feedforward control algorithm was developed based on inverse Bouc-Wen feed-forward control and feedback control for improving the trajectory tracking performance of a Piezoelectric Actuator (PEA). A Bouc-Wen hysteresis dynamic modeling for the PEA was established
and system parameters of the Bouc-Wen model were identified by Particle Swarm Optimization (PSO) method. Then
a feed-forward compensation control method was proposed based on hysteresis Bouc-Wen model. Finally
the inverse feed-forward control method combining the PI feedback control with feed-forward control were proposed to control the piezoelectric actuator. An experimental platform was developed based on dSPACE system. The hysteresis experiment results show that the hysteresis error and relative linearity of the proposed method is almost zero and 96.5%
respectively. The trajectory tracking experimental results show that the maximum tracking error and RMS tracking error of the proposed method are 0.180 5
μ
m and 0.055 4
μ
m
respectively
obtaining the high tracking performance by 10
-8
m. As compared with open loop control
feedforward control
PI feedback control
the proposed inverse feedforward control algorithm compensates basically hysteresis nonlinearity of the PEAs and shows good trajectory tracking performance.
关键词
Keywords
references
OUYANG P R, ZHANG W J, MADAN M, et al.. Overview of the development of a visual based automated bio micro-manipulation system[J]. Mechatronics, 2007, 17:578-588.
LIU Y, LI J, HU X, et al.. Modeling and control of piezoelectric inertia-friction actuators:review and future research directions[J]. Mechanical Science, 2015, 6:95-107.
范伟, 林瑜阳, 李钟慎.压电陶瓷驱动器的迟滞特性[J].光学精密工程, 2016, 24(5).
FAN W, LIN Y Y, LI ZH SH. Hysteresis characteristics of piezoelectric ceramic actuators[J]. Opt. Precision Eng., 2016, 24(5).(in Chinese)
MAIN J A, GARCIA E, NEWTON D V. Precision position control of piezoelectric actuators using charge feedback[J]. Journal of Guidance Control and Dynamic, 1995, 18:1068-1073.
LIEN S, MIN S. Precision tracking of a piezo-driven stage by charge feedback control[J]. Precision Engineering, 2013, 37:793-804.
LIN CH J, LIN P T. Tracking control of a biaxial piezo-actuated positioning stage using generalized Duhem model[J]. Computers and Mathematics with Applications, 2012, 64:766-787.
CAO Y, CHEN, X B. A survey of modeling and control issues for piezo-electric actuators[J]. Journal of Dynamic Systems, Measurement, and Control, 2015, 137(1).
XIAO S, LI Y. Dynamic compensation and H∞ control for piezoelectric actuators based on the inverse Bouc-Wen mode[J]. Robotics and computer Integrated Manufacturing, 2014, 30:47-54.
WANG G, GUAN C L, ZHANG X J, et al.. Design and control of miniature piezoelectric actuator based on strain gauge sensor[J]. Opt. Precision Eng., 2013, 21(3):709-716. (in Chinese)
LI Y M, XU Q S. Adaptive sliding mode control with perturbation estimation and pid sliding surface for motion tracking of a piezo-driven micromanipulator[J].IEEE Transactions on Control Systems Technology, 2010, 18(4):798-810.
LIN C Y, CHEN P Y. Precision tracking control of a biaxial piezo stage using repetitive control and double feedforward compensation[J]. Mechatronic, 2011, 21:239-249.
MA L, LI W, WANG Q, et al.. Identification of the bouc-wen hysteresis model for piezoelectric actuated micro/nano electromechanical system[J]. Journal of Computational and Theoretical Nano-science, 2013, 10(4).
WANG D H, ZHU W. Hysteretic modeling and experimental verification for WTYD type piezo ceramic micro-actuators[J]. Opt. Precision Eng., 2010, 18(1):205-211. (in Chinese)
CHEN X, LI Y. A modified PSO structure resulting in high exploration ability with convergence guaranteed[J]. IEEE Transaction on Cybernetics, 2007, 37(5):1271-1289.