Synthesis of hyperstable control system with adaptive model

Adaptive systems for control of continuous dynamic objects can be synthesized by using the inverse of the object as model and connecting it in series with the object. The parameters of this model can be tuned adaptively according to the hyperstability criterion. The algorithm of adaptation is constructed for a linear dynamic object with one input and one output. Digital simulation of such an adaptive control system is demonstrated on a typical second-order object (p squared + 1.5p + 2.5)x(t) = (p + 2y(t). The method is also applicable to adaptive control of nonsteady and nonlinear objects.