For　the　boost　converter,　the　performance　of　conventional　MPC　method　is　influenced　by　parameter　mismatches　and　load　perturbation.　To　enhance　the　ability　of　disturbance　rejection　and　dynamic　response,　this　paper　proposes　a　model　predictive　control　(MPC)　algorithm　based　on　deadbeat　method　using　a　linear　extended　state　observer　(LESO).　By　incorporating　parasitic　resistance,　disturbance　of　load　resistance　and　input　voltage　as　lumped　disturbance,　a　compensation　predictive　model　is　designed　by　LESO.　Furthermore,　in　order　to　reduce　the　current　and　voltage　ripples,　the　carrier　phase　shifting　pulse　width　modulation　(CPS-PWM)　is　adopted　in　interleaved　boost　converter.　Compared　with　the　conventional　PI-MPC,　the　proposed　method　has　a　better　performance　of　dynamic　and　robustness.　©　2021　IEEE.