Nonlinear optimization, Quadratic programming, Constrained optimization, Geometrical models, GeoGebra

In favour of proposals of modified control techniques, geometrical analyses of the theoretical background of parts of the control algorithms should be advantageous. Concretely, the nonlinear optimization has been frequently considered as one of the important parts of the modern control strategies, e.g. the predictive control. Due to improving the control quality and minimization of control errors, the quadratic cost function can be generally included in the control algorithms. Therefore, the applied type of the nonlinear optimization is frequently specified as the quadratic programming problem with constraints. In this paper, the most occurred situations in this quadratic programming are geometrically modelled according to the stereo-metrical approach using the GeoGebra software. Advantages of achieved results can be suitably applied in the further proposals of the modified control methods.