The present invention relates to a plant control apparatus, a rolling control apparatus, a plant control method, and a recording medium storing a plant control program. With respect to a plant such as a rolling mill, when a feed forward control is performed and an object to be controlled includes a plurality of variable factors with different phases, a control effect is increased by properly controlling an amount of phase shift of the control output. The plant control apparatus performs the feed forward control when the object to be controlled is processed based on variable factors included in the object to be controlled and a change in quantity state before control generated to the object to be controlled; and a phase difference is obtained between the change of quantity state before control and a change of a quantity state after control, which is a quantity state of the object to be controlled after a processing procedure is performed. A phase shift amount until a measurement result of the quantity state be