[6] [6] XIAO S,LI Y.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,2013,21(5):1549-1557.

[7] [7] RAKOTONDRABE M.Classical prandt-ishlinskii modeling and inverse multiplicative structure to compensate hysteresis in piezoactuators［J］.Proceedingsof the 2012 IEEE International Conference on American Control Conference(ACC),2012:1646-1651.

[11] [11] YANG Meiju,GU Guoying,ZHU Limin.A rate-dependent Prandtl-Ishlinskii model for piezoelectric actuators using the dynamic envelope function based play operator［J］.Front Mech Eng,2015,10(1):37-42.