Dear Wesley,
It sounds like what you are asking for is the form of the equations of motion of a wind turbine, including aeroelasticity. The FAST theory basis is discussed in the following forum topic: Coupled blade modes in FAST.
Through a FAST linearization analysis, you can get the linearized form your showing (normalized by the mass matrix), as discussed recently in the following forum topic: Problem running Test18.fst in Simulink by Changing TMax using FAST_8.16 - #50 by Jason.Jonkman.
Best regards,