Motor vehicle provided with an after-treatment apparatus and a device for heating the after-treatment apparatus

A motor vehicle, comprising:

• an internal combustion engine;
• an after-treatment device configured to treat first exhaust gases produced by the internal combustion engine;
• a first exhaust line configured to feed the first exhaust gases to the after-treatment device;
• a burner distinct from the internal combustion engine, wherein the burner is configured to produce second exhaust gases by the combustion of a mixture comprising an oxidizer and a fuel, and wherein the burner comprises a combustion chamber and an injector device controllable to inject the fuel into the combustion chamber;
• a second exhaust line configured to feed the second exhaust gases to the after-treatment device;
• a tank to hold the fuel;
• a supply line configured to feed a fuel stream from the tank to the injector device, wherein the supply line comprises a valve controllable according to a first control mode and a second control mode, wherein the valve allows fuel to the injector device in the first control mode, and wherein the valve prevents fuel from flowing to the injector device in the second control mode;
• a transducer configured to detect a quantity indicative of a fuel pressure downstream of the valve and to generate a related signal;
• and
• a control unit configured to acquire the signal, extract from the signal a piece of information related to the fuel pressure, and control the valve based on the piece of information.