Power system is the backbone of our society. The purpose of this work is to design a stable, robust and efficient controller for a power-generation system with time delays, model uncertainties and disturbances. Based on the practical dynamics of generator,prime mover, exciter and automatic voltage regulator, a mathematical power-generation system model is developed with state space dynamical equations involving time delays in the feedback. A novel robust H∞ control framework based on linear matrix inequalities is proposed in the paper, which controls the energy system effectively. Computer simulations are used to show the efficacy of the proposed control algorithm.