A vehicle is provided with a powertrain including an electric motor, an internal combustion engine, and a turbocharger. The vehicle further includes a controller programmed to apply a variable filter to engine torque commands that are responsive to driver demand. The filter affects commands having a rate of increase greater than a predetermined threshold such that corresponding rates of increase in both engine torque and turbocharger speed are limited to respective rates less than the maximum available levels in order to reduce a surge in engine output emissions. The controller additionally issues commands for motor torque such that overall powertrain torque satisfies the driver demand.