A biomass heating system for burning biogenic fuel comprising: a boiler having a combustion device and a heat exchanger; a control device having a memory (105, 105a); at least one sensor (86, 111-117, 582, 592) for providing sensor data, which can detect at least one chemical and/or physical variable of the biomass heating system and which is communicatively connected to the control device; at least one actuator (4, 5, 52, 6, 61, 66, 7, 72, 91, 201, 231) of the biomass heating system which is communicatively connected to the control device and can be controlled by the latter; wherein the control device includes at least one AI model for controlling the biomass heating system based on the provided sensor data, wherein the AI model is parameterized by means of machine learning, characterized in that the AI model is configured to perform a classification of the fuel, and the classification of the fuel is based on the following sensor data: an oxygen content of the exhaust gas of the biomass heating system, which is detected by a lambda probe; and at least one of the following: an exhaust gas temperature of the exhaust gas of the biomass heating system which is detected by an exhaust gas temperature sensor; a combustion chamber temperature of a combustion chamber of the biomass heating system, which is detected by a combustion chamber temperature sensor; wherein the oxygen content, the exhaust temperature and the combustion chamber temperature are detected in a period after ignition of the fuel by an ignition device until a predefined oxygen content is reached, preferably 16 vol %-O 2. a boiler having a combustion device and a heat exchanger; a control device having a memory (105, 105a); at least one sensor (86, 111-117, 582, 592) for providing sensor data, which can detect at least one chemical and/or physical variable of the biomass heating system and which is communicatively connected to the control device; at least one actuator (4, 5, 52, 6, 61, 66, 7, 72, 91, 201, 231) of the biomass heating system which is communicatively connected to the control device and can be controlled by the latter; wherein the control device includes at least one AI model for controlling the biomass heating system based on the provided sensor data, wherein the AI model is parameterized by means of machine learning, characterized in that the AI model is configured to perform a classification of the fuel, and the classification of the fuel is based on the following sensor data: an oxygen content of the exhaust gas of the biomass heating system, which is detected by a lambda probe; and at least one of the following: an exhaust gas temperature of the exhaust gas of the biomass heating system which is detected by an exhaust gas temperature sensor; a combustion chamber temperature of a combustion chamber of the biomass heating system, which is detected by a combustion chamber temperature sensor; wherein the oxygen content, the exhaust temperature and the combustion chamber temperature are detected in a period after ignition of the fuel by an ignition device until a predefined oxygen content is reached, preferably 16 vol %-O 2. an exhaust gas temperature of the exhaust gas of the biomass heating system which is detected by an exhaust gas temperature sensor; a combustion chamber temperature of a combustion chamber of the biomass heating system, which is detected by a combustion chamber temperature sensor; wherein the oxygen content, the exhaust temperature and the combustion chamber temperature are detected in a period after ignition of the fuel by an ignition device until a predefined oxygen content is reached, preferably 16 vol %-O 2.