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In order to reduce the adverse effects from the uncertainty of Tw, the hydraulic turbine generator additional robust mix governor control (HGMRC) is designed, in which a measurable active power disturbance is used as the feedback, and the robust control theory is used to deal with the uncertain system. Considering the difficulties in the process of solving the robust control problem, a new approach is presented in the paper based on linear matrix inequalities (LMI) on the robust control system. The simulating tests of HGMRC used on hydraulic turbine generator had been done by three-phase short circuit in single machine and infinite system. The results of the simulating test show that: the rotor oscillation of hydraulic turbine generator can be restrained by HGMRC; HGMRC has robustness for Tw parameter perturbation.