In the adaptive control apparatus, a computation unit computes weighting coefficients, using a first adaptive control method in a proportion α of a first computation amount, where the first adaptive control method has a first convergence rate and a first convergence error. Further, a computation unit computes weighting coefficients from initial values of the weighting coefficients computed by the computation unit, using a second adaptive control method in a proportion (1−α) of a second computation amount, where the second adaptive control method has a second convergence rate slower than the first convergence rate and a second convergence error smaller than the first convergence error. A controller controls determination of a ratio α/(1-α) based on a moving speed of a mobile unit, and controls the computation units to perform computing processes.