Parameter Estimation of Dynamical System when Model is known

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Im working on a nonlinear control based on Lyapunov theory and its working really well. I am able to implement it on a dynamical model of the system in simulink. However I think it has a really big limitation and that is: I cant guarantee that the real system will have the exact parameters that I am modelling. I want to make my lyapunov controller into a more robust controller by adding parameter estimation too it.

I see some texts based around system identification, but I do not need to go that deep, I know what the system looks like. I just need some kind of method to zero in on the drift between my modelled and real components.

Is this possible? I am controlling an DC to AC power converter.

Physical System model:

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Model:

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Controller:

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