A control apparatus configured to control a power unit of a vehicle includes an electronic control unit configured to i) store a set of measurement values of at least one physical parameter representing a plurality of conditions of the power unit; ii) approximate the stored set of the measurement values, by mixed probability distribution, so as to obtain a first probability distribution of the measurement values representing a first condition, and a second probability distribution of the measurement values representing a second condition; iii) set a discrimination boundary between values representing the first condition and values representing the second condition, between mean values of the first probability distribution and the second probability distribution; and iv) control the power unit, according to a result of comparison between a measurement value and the discrimination boundary.
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