A robust adaptive control method with objective holographic feedbacks (RACOHF) is proposed for a multi-input multi-output uncertain nonlinear differential algebraic system. The uncertainty of the system model and the external disturbances are considered by the RACOHF, and the external input disturbances are regarded as changes in uncertain parts of the system model. Then, based on the objective holographic feedbacks control, the adaptive tracking control of multi-objectives is realized through the adaptive adjustment of the uncertain parts of the model. Finally, the RACOHF is applied to the coordinated control of steam valve and excitation of reheat-type turbo-generator sets. Simulation results show that the RACOHF can ensure the control objectives such as generator terminal voltage and active power run at the expected working point without static offset under the condition of uncertain system parameters and external disturbances. Compared with nonlinear control with objective holographic feedbacks (NCOHF), the RACOHF can give better consideration to the dynamic and static performance of the system.