This paper solves the task of the associative control of an object, whose parameters are changing in an uncertain way. To enable efficient control, it is necessary to constantly correct model’s parameters, that is, to have the associative control with the parametric adaptation. Thus the task of control of an object comprises the algorithm of estimation of object’s parameters and algorithm of control of this object. The solution of this task relates to the class of associative algorithms. This paper provides the results of investigations of the dynamic system with variable parameters. To perform the control efficiently, this system would be supported by timeoptimal high speed adaptive control using the algorithms of object’s parameter identification.