The paper discusses some interesting, mainly philosophical paradigms of the modeling and control areas, which are still partly unsolved and/or only partially studied. First the possible introduction of a prejudice free controlsimilar to the term for the modeling introduced by Rudi Kalman -is investigated. Next the real constraints in real control systems are discussed. It seems that these are the amplitude limit for the actuators in practical systems. Then the application of the HEISENBERG-type uncertainty relationship in control is discussed, combining the robustness of control and quality of modeling. Finally a special irregularity in the classical LQR control methodology is treated investing some unreachable poles in the anomaly. The paper constitutes a review of a few specific problems in the control theory. They are enumerated in keywords and discussed on the basis of the references. The authors aim at least to invite further authors to continue such a discussion.