Method for controlling the quantity of air introduced to the intake of a supercharged internal combustion engine by a single-inlet turbocompressor

Method for controlling the quantity of air introduced to the intake of a supercharged internal combustion engine, said engine comprising an exhaust gas outlet () connected to an exhaust collector (), comprising a supercharging device () comprising a turbocompressor with a turbine () having a single inlet () connected to said exhaust gas outlet, and an external air compressor (), and a duct () for the partial transfer of the compressed air from the compressor to the inlet of the turbine. According to the invention, a branch () is provided on said partial transfer duct, said branch being connected to the inlet of the turbine and comprising a proportional valve means (), and in that the flow of the compressed air in this branch is controlled during transitory operating phases in accordance with strategies that are applied to said valve means and are determined according to characteristics of the stabilized phases.