An exhaust gas purification system which can suppress a decrease in engine torque during a desulfurization process applied to a NOx storage reduction catalyst. The system includes a NOx storage reduction catalyst in an exhaust pipe of an engine, and a desulfurization process control unit that controls an amount of intake air introduced to the engine to enrich the exhaust gas, and performs a desulfurization process to the NOx storage reduction catalyst. The desulfurization process control unit is configured to gradually reduce an amount of intake air when the desulfurization process is commenced.

A method is disclosed for controlling a concentration of oxygen that is measured by an oxygen sensor of an after-treatment system of an internal combustion engine when a regeneration of an after-treatment device is required. The method may be a computer-implement method. An oxygen sensor target value is lowered in a stepped phase as a function of an exhaust gas flow speed as the exhaust gas passes through the after-treatment system. The oxygen sensor target value is lowered evenly as a function of the exhaust gas flow speed and by a filter phase when a measured air/fuel ratio value is less than or equal to an AFR threshold value and until the oxygen sensor target value is equal to an oxygen sensor final target value. The oxygen concentration is controlled by applying the oxygen sensor target value.

A three-way catalyst, an NSR catalyst, and an SCR catalyst are provided in this order for an exhaust gas passage, wherein the air-fuel ratio (AFR) is set to a first AFR which is a rich AFR before the AFR is switched from a theoretical AFR to a lean AFR, and then the AFR is set to a second AFR which is higher than the first AFR and lower than the theoretical AFR if a NOx occlusion amount is less than a threshold value during a period until an NH.sub.3 adsorption amount of the SCR catalyst becomes a predetermined adsorption amount, while the AFR is set to a third AFR which is higher than the first AFR and lower than the second AFR if the NOx occlusion amount is not less than the threshold value.

A method of removing sulfur from a lean NOx trap of a mild hybrid vehicle while the vehicle is stationary is disclosed, the method comprising connecting an electrical system of the vehicle to a large capacity external battery, operating an integrated starter generator driven by an engine of the vehicle as a generator to load the engine thereby allowing the engine to be operated at a higher torque level and rich of stoichiometric and storing the electrical energy produced by the integrated starter generator in the large capacity battery during the time period required for the removal of sulfur from the lean NOx trap.

A power system may include an internal combustion engine, an exhaust gas recirculation system, a selective catalytic reduction system, and an engine control module. The internal combustion engine includes a plurality of combustion cylinders and a plurality of corresponding intake valves for controlling a flow of air from an intake into the cylinders. The engine control module is configured to adjust a closure timing of the intake valves based on at least one engine parameter and optimization of an operational cost of the power system. A method for controlling the power system may include recirculating a portion of an exhaust flow, injecting a reductant into the exhaust flow, and adjusting a closure timing of the intake valves based on at least one engine parameter and optimization of an operational cost of the power system.