Projection Operator vs Leakage Mod. Example in Matlab (Lectures on Adaptive Control and Learning)

There are two common approaches in adaptive control theory to ensure the boundedness of the closed-loop system when it is not possible to obtain a negative semi-definite Lyapunov function derivative. These approaches are the projection operator and the leakage modification. This video presents Matlab examples for both approaches. Have fun!

[Volka]

Thank you for your great explanations and videos!
Is there an approach to extend the idea of adaptation to the case where the control input enters the state equation through a nonlinear function? For example, in my case the control input passes through a dead zone with inaccurately known parameters. Currently, I use a smooth dead-zone inverse in order to compensate for this nonlinearity.
It would be great to organize adaptation according to nonlinearity parameters to improve the control performance.