CROFT D, SHED G, DEVASIA S.Creep, hysteresis, and vibration compensation for piezoactuators:atomic force microscopy application[J].Journal of Dynamic Systems, Measurement and Control, 2001, 123:35-43.

王生怀, 陈育荣, 王淑珍, 等.三维精密位移系统的设计[J].光学 精密工程, 2010, 18(1):175-182.

WANG SH H, CHEN Y R, WANG SH ZH, et al..Design of 3D precision displacement system [J].Opt.Precision Eng., 2010, 18(1):175-182.(in Chinese)

GOLDFARB M, CELANOVIC N.Modeling piezoelectric stack actuators for control of micromanipulation [J].IEEE Control Systems Magazine, 1997, 17(3):69-79.

LEE S H, ROYSTON T J, FRIEDMAN G.Modeling and compensation of hysteresis in piezoceramic transducers for vibration control [J].Journal of Intelligent Material Systems and Structures, 2000, 11(10):781-790.

XIE W F, FU J, YAO H, et al..Observer based control of piezoelectric actuators with classical Duhem modeled hysteresis [C].Proceedings of 2009 American Control Conference, Missouri, 2009:4221-4226.

MAYERGOYZ I D.Mathematical Models of Hysteresis [M].New York:Springer-Verlag, 1991.

WEBB G V, LAGOUDAS D C, KURDILA A J.Hysteresis modeling of SMA actuators for control applications[J].Journal of Intelligent Material Systems and Structures, 1998, 9(6):432-448.

KUHNEN K.Modeling, identification and compensation of complex hysteresis nonlinearities, a modified Prandtl-Ishlinskii approach [J].European Journal of Control, 2003, 9 (4):407-418.

DONG R L, TAN Y H, CHEN H, et al..A neural networks-based model for rate-dependent hysteresis for piezoceramic actuators[J].Sensor Actuat.A-Phys., 2008, 143(2):370-376.

WONG P K, XU Q S, VONG C M, et al..Rate-dependent hysteresis modeling and control of a piezostage using online support vector machine and relevance vector machine[J].IEEE Transactions on Industrial Electronics, 2012, 59(4):1988-2001.

MAO J Q, DING H S.Intelligent modeling and control for nonlinear systems with rate-dependent hysteresis [J].Science in China Press, 2009, 52 (4):547-722.

IKHOUANE F, RODELLAR J.Systems with hysteresis-analysis, identification and control using the bouc-wen model[M].Chichester:John Wiley & Sons, Ltd, 2007.

OH J, BERNSTEIN D S.Piecewise linear identification for the rate-independent and rate-dependent Duhem hysteresis model [J].IEEE Transactions on Automation Control, 2007, 52(3):576-582.

YU Y H, XIAO Z C, NAGI G, et al..Dynamic Preisach modeling of hysteresis for the piezoceramic actuator system[J].Mechanism and Machine theory, 2002, 37:75-89.

MA Y H, MAO J Q, ZHANG Z.On generalized dynamic Preisach operator with application to hysteresis nonlinear systems[J].IEEE Transactions on Control Systems Technology, 2011, 19(6):1527-1533.

JANAIDEH M A, SU C Y, RAKHEJA S.Development of the rate-dependent Prandtl-Ishlinskii model for smart actuators[J].Smart Mater.Struct., 2008, 17(3):035026-1-11.

JANAIDEH M A, RAKHEJA S SU C Y.A generalized Prandtl-ishlinskii model for characterizing rate dependent hysteresis [C].Proceedings of 16th IEEE International Conference on Control Applications, Part of IEEE Multi-conference on Systems and Control, Singapore, 2007:343-348.

TAN X B, BARAS J S.Modeling and control of hysteresis in magnetostrictive actuators[J].Automatica, 2004, 40(9):1469-1480.

IYER R V, TAN X B, KRISHNAPRASAD P S.Approximate inversion of the Preisach hysteresis operator with application to control of smart actuators[J].IEEE Transactions on Automatic Control, 2005, 50 (6):798-810.

XIAO S L, LI Y M.Modeling and high dynamic compensating the rate-dependent hysteresis of piezoelectric actuators via a novel modified inverse Preisach model [J].IEEE Transactions on Control Systems Technology, 2012, 99:1-9.

GE P, JOUANEH M.Tracking control of a piezoceramic actuator[J].IEEE Transactions on Control System Technology, 1996, 4(3):209-216.

TAN X B, BARAS J S.A robust control framework for smart actuators [C].Proceedings of the American Control Conference, Denver, Colorado, USA, 2003, 4645-4650.

赖志林, 刘向东, 耿洁, 等.压电陶瓷执行器迟滞的滑模逆补偿控制[J].光学 精密工程, 2011, 19(6):1281-1290.

LAI ZH L, LIU X D, GENG J, et al..Sliding mode control of hysteresis of piezoceramic actuator based on inverse preisach compensation[J].Opt.Precision Eng., 2011, 19(6):1281-1290.(in Chinese)

ZHANG Z, CHEN Q W, MAO J Q.A generalized stress-dependent Prandtl-Ishlinskii model and its adaptive inverse compensation with model reference for GMA[C].Proceedings of 8th Asian Control Conference, Kaohsiung, Taiwan, 2011:535-540.

CHEN X K.High precision adaptive control for XY-Table driven by piezo-actuator[C].Proceedings of the 2011 International Conference on Advanced Mechatronic Systems, Zhengzhou, China, 2011:466-471.

党选举.压电陶瓷执行器的神经网络实时自适应逆控制[J].光学 精密工程, 2008, 16(7):1266-1272.

DANG X J.Real-time adaptive inverse control based on neural networks for piezoceramic actuator[J].Opt.Precision Eng., 2008, 16(7):1266-1272.(in Chinese)

RU C H, CHEN L G, SHAO B, et al..A hysteresis compensation method of piezoelectric actuator:model, identification and control [J].Control Engineering Practice, 2009, 17:1107-1114.

TAN U X, LATT W T, WIDJAJA F, et al..Tracking control of hysteretic piezoelectric actuator using adaptive rate-dependent controller [J].Sensors and Actuators A, 2009, 150:116-123.

HSU J T, NGO K D.A Hammerstein-based dynamic model for hysteresis phenomenon [C].IEEE Transactions on Power Electronics, 1997, 12(3):406-413.

HSU J T, NGO K D.Subcircuit modeling of magnetic cores with hysteresis in pspice [C].IEEE Transactions on Aerospace and Electronic Systems, 2002, 38(4):1425-1434.

GUO Y X, WANG Y F, SUN G, et al..Modeling of rate-dependent hysteresis for piezoelectric actuator with MPI model-based Hammerstein system[C].Proceeding of 2012 International Conference on Intelligent Robotics and Applications, Montreal, Canada, 2012:281-290.

GUO Y X, SUN G, WANG Y F, et al..Modeling and control of rate-dependent hysteresis for PEA with MPI model-based Hammerstein system[C].Proceeding of 2012 International Conference on Control Engineering and Communication Technology, Shenyang, 2012:523-526.

WANG Z Y, ZHANG Z, MAO J Q, et al..A Hammerstein-based model for rate-dependent hysteresis in piezoelectric actuator [C].Proceeding of The 24th Chinese Control and Decision Conference, Taiyuan, 2012:1392-1396.

ZHU Y C.Multivariable system identification for process control[M].London: Pergamon Press, 2001.

WEI T A, KHOSLA P K, RIVIERE C N.Feed-forward controller with inverse rate-dependent model for piezoelectric actuators in trajectory-tracking applications[J].IEEE/ASME Transactions on Mechatronics, 2007, 12(2):134-142.

WIDROW B, WALACH E.Adaptive Inverse Control Signal Processing Approach[M].New Jersey:John Wiley & Sons, 2008.