Abstract: An air-fuel ratio control system for an internal combustion engine has a perturbation control which oscillates the air-fuel ratio with a first frequency. A first difference signal is generated indicative of a difference between a present value and a first past value from an air-fuel ratio sensor detected at a timing of a first specific period which is set to reduce a specific frequency component corresponding to a specific frequency different from the first frequency. A first frequency component is extracted. A second difference signal is generated indicative of a difference between a present value and a second past value detected at a timing of a second specific period which is set to reduce the first frequency component. The specific frequency component is extracted. A failure of the control system is determined by a relationship between intensities of the first frequency component and the specific frequency component.

Abstract: An apparatus for controlling an air-fuel ratio of an internal-combustion engine includes an air-fuel ratio detector, a fluctuation signal generating device, an air-fuel ratio fluctuation device, a 0.5th-order frequency component strength calculator, a fluctuation frequency component strength calculator, a reference component strength calculator, and an imbalance fault determining device. The reference component strength calculator is configured to calculate strength of a reference component in accordance with strength of a first frequency component and strength of a second frequency component. The imbalance fault determining device is configured to make a determination of an imbalance fault in which air-fuel ratios of a plurality of cylinders vary beyond a tolerance limit on a basis of a relative relationship between strength of the 0.5th-order frequency component and the strength of the reference component.

Abstract: An abnormality determining apparatus includes an air-fuel ratio controller, an output change period parameter calculator, an output change amount extremum calculator, and an abnormality determining device. The abnormality determining device is configured to determine an abnormality of an air-fuel ratio sensor based on a relationship between an output change period parameter and an output change amount extremum.

Abstract: An abnormality determination device for an air-fuel ratio sensor includes a differential value calculator and an abnormality determiner. The differential value calculator is configured to calculate a differential value of an output value of the air-fuel ratio sensor which is configured to detect an air-fuel ratio of exhaust gas. The abnormality determiner is configured to determine abnormality of the air-fuel ratio sensor based on a result of comparison between a reference output value of the air-fuel ratio sensor and a predetermined threshold. The reference output value is obtained by the air-fuel ratio sensor when the differential value calculated by the differential value calculator becomes a predetermined value.

Abstract: A plant controller includes a feedback controller configured to calculate a control input provided to a plant so that a control output of the plant matches a target value. The feedback controller includes a controller transfer function that is a transfer function of the feedback controller. The controller transfer function is expressed by a product of an inverse transfer function of a transfer function of a control target model obtained by modeling the plant and a disturbance sensitivity correlation function defined using a sensitivity function. The sensitivity function indicates sensitivity of a disturbance to be applied to the plant with respect to the control output. The sensitivity function is defined by using a response characteristic parameter that indicates a response characteristic of the plant.

Abstract: An air-fuel ratio control apparatus for an internal combustion engine includes an air-fuel ratio sensor having an output characteristic which is nonlinear with respect to the air-fuel ratio of exhaust gas. An output deviation converter is configured to convert an output deviation to a first predetermined value if an output value of the air-fuel ratio sensor is on a richer side of a predetermined target value and to a second predetermined value if the output value is on a leaner side of the target value. A control input calculator is configured to calculate a control input to feedback-control the output value of the air-fuel ratio sensor such that the output deviation converted by the output deviation converter is to be zero. An air-fuel ratio controller is configured to control the air-fuel ratio of exhaust gas using the control input calculated by the control input calculator.

Abstract: An air-fuel ratio control system for an internal combustion engine, which, at the resumption of air-fuel ratio feedback control, is capable of setting the initial value of an integral term of the feedback control to a value properly learned in preceding feedback control, thereby enabling improvement of control accuracy. To feedback-control the output value of an O2 sensor to a target value, a target air-fuel ratio is calculated. During the feedback control, when it is determined that a predetermined condition in which it is estimated that exhaust gas air-fuel ratio upstream of the catalyst is excellently reflected on an exhaust gas air-fuel ratio at a location midway or downstream of the catalyst is satisfied, an adaptive law input calculated immediately before interruption of the feedback control is updated and stored as the initial value of an integral term for the following execution of the feedback control.

Abstract: An air-fuel ratio control apparatus for an internal-combustion engine includes an air-fuel-ratio sensor, a control-input calculator, an air-fuel-ratio controller, and a gain calculator. The air-fuel-ratio sensor is disposed in an exhaust channel in the internal-combustion engine and is configured to detect an air-fuel ratio in exhaust gas. The control-input calculator is configured to calculate a control input in accordance with an output value of the air-fuel-ratio sensor. The air-fuel-ratio controller is configured to perform a feedback control using the control input such that the output value of the air-fuel-ratio sensor reaches a target value. The gain calculator is configured to calculate a gain in accordance with the output value when the output value is leaner than the target value. The gain is to be used in calculating the control input.