Concerning the problem of hysteresis effect related to piezoelectric actuators used for precise motion posi-tioning,a modeling method is proposed based on the gradient boosting least-squares support vector regression(GB-LSSVR).Firstly,an expanded input space is constructed by introducing a hysteretic operator,such that the multi-valued mapping of hysteresis is transformed into a one-to-one mapping.Then the hysteresis model is established based on the GB-LSSVR,of which the parameters are optimized by the guaranteed convergence particle swarm optimization(GCPSO)algorithm.Finally,the proposed method is applied to practically predict the displacement of a piezoelectric actuator.The re-sults show that the proposed method could obtain more accurate result compared to the classical algorithms of least-squares support vector regression and truncated least-squares support vector regression.
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