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A two-parameter adaptive control system employing multiple models and model-parameter perturbation is proposed in this paper. Theoretical studies of this system have shown that it is self-adaptive when both the input signal and the parameters of the system vary unpredictably. It is shown that the two parameters of the feedback system are adjusted automatically along the path of steepest descent of the performance measure-parameters surface. An interesting feature of this system is that the perturbation signals do not appear at the output of the controlled system.