The canonical profiles transport model is extended to describe various modes with improved confinement in tokamaks. A generalized profile consistency principle is proposed and a corresponding mathematical formalism is formulated. This formalism is used for the modelling of various regimes, such as H modes in DIII-D, JET and ASDEX, the hot ion mode and enhanced performance after pellet injection (PEP mode) in JET. This modelling, together with a known global scaling law, allowed the dependence of the internal model parameters on the plasma geometry and other physical variables to be established. This makes the model predictive. The approximate analytical criteria for the L to H and L to hot ion mode transitions are also obtained