Abstract: The MINRAC (multi-index nonlinear robust adaptive control) was proposed for uncertain differential algebraic system, and applied to the steam-valving control and coordinated excitation control of synchronous generator. The digital simulation results show that the proposed method can make multi-index of the system run at the expected working point without static offset under the condition of uncertain system parameters and external interference. For different types of disturbances such as active power step and three-phase short circuit, the proposed approach can also stabilize the system well and eliminate the voltage deviation at the generator terminal. Compared with multi-index nonlinear control (MINC) and multi-index nonlinear robust adaptive control approach (MINRC), the proposed method can give better consideration to the dynamic and static performance of the system.