Application of Abstract Rotations in Data Driven Modeling Supported by Fixed Point Iteration-based Adaptive Control*

In this paper, on the basis of a recent idea using abstract rotations in system modeling, it is investigated whether this novel approach can replace the regression-based technique in data-driven system modeling and control. Via simulations made for a strongly nonlinear paradigm it was found that the fixed point iteration-based adaptive control that uses similar abstract rotations for system modeling and adaptive control is a promising candidate for the realization of this approach. The main novelty consists in the fact that this iterative adaptive method based on simple affine system model have never been brought into context with data driven techniques.