[1] [1] DONG W, TANG J, AND ELDEEB Y. Design of a linear-motion dual-stage actuation system for precision control ［J］. Smart Materials and Structures, 2009, 18(9): 095035-1-11.

[2] [2] FANG J CH, CHEN M, LI H T. Hysteresis modeling for harmonic drive in DGMSCMG gimbal system ［J］. Opt. Precision Eng., 2014, 22(11): 2950-2958. (in Chinese)

[3] [3] CHEN Y SH, QIU J H, JI H L. Modeling and inrerse control of preisach type hysteresis nonlinearity using hyperbola functions ［J］. Opt. Precision Eng., 2013, 21(5):1205-1212. (in Chinese)

[4] [4] GENG J, LIU X D, CHEN ZH, at el.. The sorting & taxis realization of Preisach inverse hysteresis model using neural network ［J］. Opt. Precision Eng., 2010, 18(4): 855-862. (in Chinese)

[5] [5] 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: Physical, 2009, 150(1): 116-123.

[6] [6] SUN L, RU C, RONG W, CHEN L, et al.. Tracking control of piezoelectric actuator based on a new mathematical model ［J］. Journal of Micromechanics and Microengineering, 2004, 14(11): 1439-1444.

[7] [7] ZHANG G L, ZHANG CH J, ZHAO X L. Modeling of nonlocal memory hysteresis in piezoelectric actuators ［J］. Opt. Precision Eng., 2012, 20 (5): 996-1011. (in Chinese)

[8] [8] ZHANG D, ZHANG CH J, WEI Q, et al.. Sliding mode control of hysteresis of piezoceramic actuator based on inverse preisach compensation ［J］. Opt. Precision Eng., 2012, 20 (3): 577-586. (in Chinese)

[9] [9] WEI Q, ZHANG CH J, ZHANG D, et al.. Neural network control for piezo-actuator using sliding-model technique ［J］. Opt. Precision Eng., 2012, 20 (5): 1055-1063. (in Chinese)

[10] [10] QUANT M, ELIZALDE H, FLORES A, et al.. A comprehensive model for piezoceramic actuators: modelling, validation and application ［J］. Smart Materials and Structures, 2009, 18(12): 125011 (16 pp).

[11] [11] QIU J H, CHEN H R, CHEN Y SH, et al.. A model for asymmetric hysteresis of piezoelectric actuators ［J］. Nanotechnology and Precision Engineering, 2012, 10(3): 189-197. (in Chinese)

[12] [12] HEGEWALD T, KALTENBACHER B, KALTENBACHER M, et al.. Efficient modeling of ferroelectric behavior for the analysis of piezoceramic actuators ［J］. Journal of Intelligent Material Systems and Structures, 2008, 19(10): 1117-1129.

[13] [13] LI J W, CHEN X B, AN Q, et al.. Friction models incorporating thermal effects in highly precision actuators ［J］. Review of Scientific Instruments, 2009, 80(4): 045104-1-6.

[14] [14] HUANG S J, CHIU C M. Optimal LuGre friction model identification based on genetic algorithm and sliding mode control of a piezoelectric-actuating table ［J］. T. I. Meas. Control, 2009, 31(1): 181-203.

[15] [15] WANG D H, ZHU W. The hysteretic modeling and experimental verification for WTYD type piezoceramic micro-actuators ［J］. Opt. Precision Eng., 2010, 18 (1): 205-211. (in Chinese)

[16] [16] ZHU W, WANG D H. Non-symmetrical Bouc-Wen model for a piezoelectric ceramic actuator ［J］. Sensor Actuat. A-Phys., 2012, 181: 51-60.

[17] [17] WANG D H, ZHU W. Phenomenological model for pre-stressed piezoelectric stack actuators ［J］. Smart Mater. Struct., 2011, 20(3): 035018-1-11.

[18] [18] SMYTH A W, MASRI S F, KOSMATOPOULOS E B, et al.. Development of adaptive modeling techniques for nonlinear hysteretic systems ［J］. International Journal of Non-Linear Mechanics, 2002, 37(8): 1435-1451.

[19] [19] ISMAIL M, IKHOUANE F, RODELLAR J. The Hysteresis Bouc-Wen model, a survey ［J］. Arch. Comput. Methods Eng., 2009, 16: 161-188.

[20] [20] WANG D H, ZHU W, YANG Q, et al.. A high-voltage and high-power amplifier for driving piezoelectric stack actuators ［J］. Journal of Intelligent Material Systems and Structures, 2009, 20(16): 1987-2001.