多変数制御系における単一フィードバックループ間の干渉の定量化

抄録

A most straightforward method for constructing process control systems should be to pair input and output variables of the process and to make up a set of single feedback control loops. Even if each of the loops is designed to work well, however, the overall system may be unsatisfactory because of the inherent interaction in a controlled process. It is therefore important to grasp the interaction among single feedback loops. Although most of the conventional interaction measures are useful to pair input and output variables of the open-loop system, they do not necessarily estimate the interaction in the closed-loop system constructed by pairing the variables.
This paper proposes a measure to estimate the degree of interaction in a closed-loop system and shows its applications to analysis and design problems. The proposed interaction measure is defined as the total amount of control energy which is consumed to overcome the influence of a unit impulse disturbance applied at a point connecting a single feedback loop to the others. The measure is closely related to the stability of a closed-loop system. A series of examinations verified that the measure provides a basis for estimating the interaction in a closed-loop system.