In a dither control process performed on a fuel injection valve, at least one cylinder is set as a rich combustion cylinder and another cylinder is set as a lean combustion cylinder. A dither control process is executed in a first mode when a vehicle is driven in a normal manner by a user. The dither control process is executed in a second mode on condition that a command signal for performing a temperature raising process on the exhaust gas purifier is input from a device outside the vehicle at a repair shop. The absolute value of the difference between the air-fuel ratio of the lean combustion cylinder and the air-fuel ratio of the rich combustion cylinder obtained by the dither control process is set to be greater in the second mode than in the first mode.

A controller for an internal combustion engine includes processing circuitry. The processing circuitry performs a dither control process. The dither control process includes a first mode in which a cylinder serving as a rich combustion cylinder is sequentially changed and a second mode in which a specified cylinder is fixed as one of a rich combustion cylinder and a lean combustion cylinder. The processing circuitry selects the first mode or the second mode based on an operating point of the internal combustion engine.

A controller for an internal combustion engine includes a processing circuit that performs a dither control process on condition that a temperature increase request of a catalyst is made. The processing circuit operates fuel injection valves so that during the dither control process, one or more cylinders are lean combustion cylinders in a first period and another one or more cylinders are rich combustion cylinders and so that the average value of an exhaust gas-fuel ratio is a target air-fuel ratio in a second period including the first period. The dither control process is restricted in a manner that, on condition that the rich process is performed, the degree of richening of the richest exhaust gas-fuel ratio of exhaust gas-fuel ratios in the cylinders is reduced.

A temperature estimation module applied to a control apparatus for an internal combustion engine is configured to execute a virtual temperature estimation process that estimates a virtual temperature, which is a temperature of an exhaust purifying device under an assumption that a dither control process is not executed, based on an operation point of the internal combustion engine during execution of the dither control process. The temperature estimation module is further configured to execute an actual temperature estimation process that estimates an actual temperature of the exhaust purifying device based on a difference between the air-fuel ratio of a rich combustion cylinder and the air-fuel ratio of a lean combustion cylinder and based on the operation point of the internal combustion engine during execution of the dither control process.

A controller for an internal combustion engine is configured to execute a dither control process and a filter temperature calculating process. In the dither control process, on condition that an execution request for a regeneration process of the filter is made, fuel injection valves are operated such that at least one of the cylinders is a lean combustion cylinder, and at least another one of the cylinders is a rich combustion cylinder. The filter temperature calculating process is a process of calculating the temperature of the filter to be lower when a target value of an average value of the exhaust air-fuel ratio in a predetermined period by the dither control is leaner than the stoichiometric air-fuel ratio than when the target value is the stoichiometric air-fuel ratio.

A controller for an internal combustion engine is configured to execute a dither control process and an exhaust gas recirculation (EGR) control process. The dither control process includes, when a request to increase a temperature of a catalyst is made, operating the fuel injection valves corresponding to respective cylinders to control the air-fuel ratio in some of the cylinders to become lean and control the air-fuel ratio in other cylinders to become rich. The EGR control process includes operating an adjustment actuator to control an EGR rate. The EGR control process includes operating the adjustment actuator such that the EGR rate is lower when the dither control process is being executed than when the dither control process is not being executed.

A controller executes a dither control process and a deposition amount calculating process. In the dither control process, on condition that an execution request for a regeneration process of the filter is made, fuel injection valves are operated such that at least one of the cylinders is a lean combustion cylinder, and at least another one of the cylinders is a rich combustion cylinder. In the deposition amount calculating process, a deposition amount is calculated such that, as compared to a case in which a target value of an average value of an exhaust air-fuel ratio in a predetermined period by the dither control process is a first air-fuel ratio, a decrease amount per unit time of the deposition amount is calculated to be a great value in a case in which the target value is a second air-fuel ratio, which is leaner than the first air-fuel ratio.

A controller for an internal combustion engine is configured to execute a dither control process and an enlarging process. The enlarging process includes at least one of the following two processes: a process of causing an operation region of the internal combustion engine in which the dither control process is executed to be larger in a case in which an amount of particulate matter trapped by the filter is large than in a case in which the amount is small; and a process of causing a degree of richness of the rich combustion cylinder and a degree of leanness of the lean combustion cylinder to be greater in a case in which the amount of particulate matter trapped by the filter is large than in a case in which the amount of particulate matter trapped by the filter is small.

A control system of an internal combustion engine comprises an air-fuel ratio sensor 40, 41 detecting an air-fuel ratio of exhaust gas, a current detecting device 61 detecting an output current of the air-fuel ratio sensor, a voltage applying device 60 applying voltage to the air-fuel ratio sensor, and a voltage control part 81 configured to control voltage applied to the air-fuel ratio sensor through the voltage applying device. The voltage control part is configured to set the applied voltage to a reference voltage determined so that the output current becomes zero when an air-fuel ratio of inflowing exhaust gas flowing into the air-fuel ratio sensor is a stoichiometric air-fuel ratio, and correct the reference voltage so that the output current detected by the current detecting device becomes zero when it is judged that the air-fuel ratio of the inflowing exhaust gas is the stoichiometric air-fuel ratio.

A controller for an internal combustion engine includes processing circuitry configured to execute: a dither control process of operating fuel injection valves to designate at least one of cylinders as a lean combustion cylinder, in which an air-fuel ratio is leaner than a stoichiometric air-fuel ratio, and to designate at least another one of the cylinders as a rich combustion cylinder, in which an air-fuel ratio is richer than the stoichiometric air-fuel ratio; and an idle-time limiting process of causing an absolute value of a difference between the air-fuel ratio in the lean combustion cylinder and the air-fuel ratio in the rich combustion cylinder to be smaller when the internal combustion engine is idling than when the internal combustion engine is not idling.