Second-order sliding mode tracking control for the piezoelectric actuator with hysteretic nonlinearity

摘要

For the piezoelectric actuator model with hysteretic nonlinearity, a second-order sliding mode tracking controller is proposed. First, a second-order nonlinear dynamic model is introduced for the piezoelectric actuator. Next, a second order sliding mode control law with dual-phase sliding movement is designed. Then, the system stability is proved with a theorem. From theoretical analysis, the feedback control system is stable in the sense that all signals involved are bounded. The simulation results show the validity of the proposed method for this kind of nonlinear dynamic model of the piezoelectric actuator.