On　account　of　the　inductance　current　continuous　conduction　mode　boost　DC/DC　converter,　the　modeling　method　of　the　discrete　time　nonlinear　system　and　the　feedback　linearization　control　algorithm　are　addressed　in　this　paper.　Based　on　the　nonlinear　discrete　time　iterated　mappings　method,　a　simplified　discrete　time　nonlinear　model　with　respect　of　the　DC/DC　converter　is　proposed　firstly.　Since　the　nonlinear　model　is　presented　as　a　discrete　time　form,　an　exact　feedback　linearization　method　over　the　discrete　time　nonlinear　system　is　introduced,　and　a　partial　linearized　form　is　achieved.　Using　this　linearized　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　stable　tracking　feature　and　a　strong　robustness　towards　the　disturbance　from　the　input　voltage.