[3] [3] MAYHAN P,SRINIVASAN K,WATECHAGIT S,et al..Dynamic modeling and controller design for a piezoelectric actuation system used for machine tool control[J].Journal of Intelligent Material Systems and Structures,2000,11(10):771-780.

[4] [4] ROYSTON T J,HOUSTON B H.Modeling and measurement of nonlinear dynamic behavior in piezoelectric ceramies with application to 1-3 composites[J].Journal of the Acoustical Society of America,1998,104(5):2814-2827.

[5] [5] HUGHES D,WEN J T.Preisach modeling of piezoceramic and shape memory alloy hysteresis[J].SPIE,1996,2715:507-528.

[6] [6] HATANAKA T,UOSAKI K,KOGA M.Evolutionary computation approach to block oriented nonlinear model identification[C].2004 5th Asian Control Conference,Melbourne,Australia,2004,1:90-96.

[7] [7] CHEE C,TONG Y K,LIYONG S,et al..Review on the modeling of piezoelectric sensors and actuators incorporated in the intelligent structures[J].Journal of intelligent material systems and structures,1998,9(1):3-19.

[8] [8] GE P,JOUANEH M.Generalized Preisach model for hysteresis nonlinearity of piezoceramic actuators[J].Precision Engineering,1997,20(2):99-111.

[10] [10] GOLDFARB M,CELANOVIC N.Behavioral implications of piezoelectric stack actuators for control of micromanipulation[J].IEEE,1996,1:226-231.

[11] [11] GOLDFARB M,CELANOVIC N.Modeling piezoelectric stack actuators for control of micromanipulation[J].IEEE,1997,17(3):69-79.

[12] [12] GOLDFARB M,CELANOVIC N.A lumped parameter electromechanical model for describing the nonlinear behavior of piezoelectric actuators[J].Journal of Dynamic Systems,Measurement,and Control,Transactions of the ASME,1997,119(9):478-485.

[13] [13] ADRIAENS H J,de KONING W L,BANNING R.Modeling piezoelectric actuators[J].IEEE,2000,5(4):331-341.

[14] [14] ADRIAENS H J,de KONING W L,BANNING R.Design and modeling of a piezo-actuated positioning mechanism[J].IEEE,1997,2(10):1978-1983.

[15] [15] BANNING R,de KONING W L,ADRIAENS H J,et al..State-space analysis and identification for a class of hysteretic systems[J].Automatica,2001,37(12):1883-1892.

[16] [16] JUNG S B,K IM S W.Improvement of scanning accuracy of PZT piezoelectric actuators by feed-forward model reference control[J].Precision Engineering,1994,16(1):49-55.

[17] [17] MAIN J A,GARCIA E.Piezoelectric stack actuators and control system design:strategies and pitfalls[J].Journal of Guidance,Control,and Dynamics,1997,20(3):479-485.

[24] [24] HELEN M S G,RIDHA B M.Electromechanical modeling of piezoceramic actuators for dynamic loading applications[J].Journal of Dynamic Systems,Measurement,and Control,Transactions of the ASME,2006,128:558-567.

[26] [26] KHALIL H K.Nonlinear Systems[M].Upper Saddle River,NJ:Prentice Hall,2002.

[27] [27] ALBERTO I.Nonlinear Control Systems[M].Berlin,Heidelberg:Springer Verlag,1985.

[28] [28] SLOTINE J,LI W.Applied Nonlinear Control[M].Englewood Cliffs,New Jersey:Prentice-Hall Inc,1991.