For　partly　due　to　the　hysteresis　nonlinearity　of　piezoelectric　ceramic　actuator　lead　to　the　problem　of　the　positioning　precision,　design　sliding　model　inverse　compensation　control　strategy　of　piezoelectric　ceramic　actuator　based　on　exponential　reaching　law.　Firstly,　the　hysteresis　characteristics　of　piezoelectric　ceramic　are　controlled　by　using　preisach　inverse　model.　Secondly,　the　sliding　mode　control　strategy　based　on　the　exponential　reaching　rate　is　designed　to　solve　the　problems　of　small　error,　anti-interference　ability　and　overshoot　caused　by　system　compensation　control.　Moreover,　the　sliding　mode　surface　with　integral　part　is　designed　to　reduce　the　steady-state　error　of　the　piezoelectric　ceramic　actuator.　The　experimental　results　show　that　this　control　strategy　improve　tracking　precision　of　the　system,　reduce　the　overshoot　of　the　system,　and　has　the　strong　anti-interference　ability.　Its　maximum　error　is　0.1501　um,　tracking　error　of　the　mean　is　0.0387　um.　©　2019　Technical　Committee　on　Control　Theory,　Chinese　Association　of　Automation.