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： As a new of piezoelectric fiber composite actuators, MFC (macro fiber composite) is widely used in active vibration and deformation control of engineering structures due to the advantages of fast response, high electromechanical energy conversion efficiency, good encapsulation, strong environmental adaptability, etc. However, the intrinsic hysteresis nonlinearity of piezoelectric material affects the driven efficiency and the control accuracy. The cantilever beam driven by MFC actuator is taken as the research object. The PI (Prandtl-Ishlinskii) hysteresis model and the modified PI hysteresis model are established based on experimental data. And then, an inverse compensation hysteresis model is developed for active control. The accuracy and the inverse compensation effect of two present models are analyzed and compared by experimental tests. The experimental results indicate that the modified PI hysteresis model have the better compensation effect for the hysteresis nonlinearity of the MFC actuator. The fitting displacement of the compensated PI inverse model compensation control is 2.14 times that of the displacement without the voltage compensation control, and is 1.56 times the displacement of the PI inverse model compensatio n control. The proposed research strategy of hysteresis nonlinearity can be extended to the analysis of hysteresis behavior of other piezoelectric materials. Key words：macro fiber composite(MFC)；hysteretic nonlinearity；modified PI hysteresis model；inverse compensation control * 国家自然科学基金(11572072)和国家科技重大专项(2016ZX05028-02-05) 资助项目。20180915 收到初稿，20190315 收到修改稿

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