The tokamak configuration can be operated in different confinement regimes, which can be significantly different not only in terms of performance but also of physics interpretation and control requirements. The High Confinement regime, the so called H mode, is a particularly relevant example. Its performance can be more than a factor of two better compared to the L-mode (Low confinement) but it is affected by edge instabilities, which require particular measures to avoid disruptions and could be very dangerous for the integrity of the entire device in the next generation of machines like ITER. Moreover the H-mode of confinement is an auto-organized state of the plasma, which develops spontaneously when certain conditions are met. The transition from one mode of confinement to the other presents some characteristics of phase transitions already studied in many other physical systems. On the other hand, the details of the plasma evolution from the L-mode to the H-mode state have not been fully understood yet neither from the point of view of the dynamics nor of the power requirements to trigger the transition. Even the nature of the control parameters remains unclear. In addition to defying physical interpretation, the H-mode of confinement presents also some important challenges form the point of view of control. The higher internal energy of the plasma, together with the increased plasma shaping used to improve performance, render the H-mode significantly more unstable and more prone to disruptions. On the other hand, up to now no reliable classifier of the confinement regime has been available for real time operation and therefore normally Tokamak devices are controlled in feed-forward, determining a priori in which type of regime the plasma will be at every point in time of the discharge. In case of unexpected transitions from state to another the control systems can therefore adopt an non optimal strategy which cannot only limit the performance but also compromise the equilibrium and contribute to trigger disruptions. In the perspective of ITER, in which accessing the H-mode is essential but disruptions can have very harmful consequences, it is becoming urgent to develop model to better interpret the H-mode physics and to identify the regimes in real time.