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This paper deals with the nonlinear modelling and control of a turbocharged SI engine. Downsizing based Turbocharging is a powerful technique to improve engine performances as fuel economy, pumping loss reduction to increase engine efficiency or driveability optimisation. This method is largely used for diesel engine. For gasoline engines, it is more complex in terms of control. In this work, a simplified control oriented model is presented and validated using a Smart MCC three cylinders engine data. Then, based on this model, a fuzzy nonlinear control law is calculated to achieve the fuel consumption and pumping losses reduction by setting the engine states to a given profile. TABLE I: NOMENCLATURE th φ [ ] % throttle valve opening _ c wg φ [ ] % waste gate PWM ratio control signal e N [ ] rpm engine crankshaft speed im p [ ] bar intake manifold pressure ic P [ ] bar supercharging pressure _ im ref p [ ] bar intake manifold pressure reference _ ic ref p [ ] bar supercharging pressure reference _ cst ref p [ ] bar ic P lower bound reference atm p [ ] bar atmospheric pressure im V 3 m     intake manifold volume d V 3 m     total engine displacement (volume) R [ ] / kJ kg K ⋅° gas constant of the air im T [ ] K° intake manifold temperature atm T [ ] K° atmospheric temperature e T [ ] Nm engine torque cyl m [ ] / kg s mass air flow into the cylinders th m [ ] / kg s mass air flow through the throttle adv δ [ ] V° spark advance angle