A system includes a hybrid power train comprising an internal combustion engine and electrical system, which includes a first and second electrical torque provider, and an electrical energy storage device electrically coupled to first and second electrical torque provider. The system further includes a controller structured to perform operations including determining a power surplus value of the electrical system; determining a machine power demand change value; in response to the power surplus value of the electrical system being greater than or equal to the machine power demand change value, operating an optimum cost controller to determine a power division for the engine, first electrical torque provider, and second electrical torque provider; and in response to the power surplus value of the electrical system being less than the machine power demand change value, operating a rule-based controller to determine the power division for the engine, first, and second electrical torque provider.