On　account　of　the　inductance　current　continuous　conduction　mode　boost　converter,　a　approximate　discrete　time　nonlinear　model　is　proposed　in　this　paper　on　the　basis　of　the　nonlinear　iterated　mappings　method.　Then,　an　exact　feedback　linearization　method　over　the　discrete　time　nonlinear　system　is　introduced,　in　order　to　deduce　a　partial　linearized　form.　Utilizing　this　form,　a　control　algorithm　is　derived　according　to　the　pole　placement.　The　simulation　results　indicate　that　the　performance　of　the　proposed　control　algorithm　presents　a　fast　dynamic　response,　an　accurate　tracking　feature　and　a　strong　robustness　towards　the　disturbance　from　the　input　voltage.　©　2012　IEEE.