A　new　nonlinear　internal　model　control　scheme　based　on　secant　is　proposed　to　improve　the　control　performance　for　the　Permanent　Magnet　Linear　Synchronous　Motor.　The　internal　model　is　constructed　based　on　kernel　ridge　regression,　then　the　process　of　inverse　model　is　transformed　to　a　problem　of　solving　equation　by　analyzing　the　characteristics　of　the　internal　model.　The　equation　is　solved　by　Secant　Method.　Simulation　result　shows　that　the　proposed　scheme　makes　the　internal　model　and　the　inverse　model　exact　match,　and　there　is　no　steady-state　error　in　step　response,　and　sinusoidal　signal　response　also　has　good　tracking　performance.　Moreover,　it　has　a　good　disturbance　rejection　ability.