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Implications of Large RGA Elements on Control Performance
Sigurd Skogestad and Manfred Morari

Ind. Eng. Chem. Res.
26 (11), 2323-2330, 1987,

Abstract

Large elements in the RGA imply a plant which is fundamentally difficult to control. (1) The plant is very sensitive to uncorrelated uncertainty in the transfer matrix elements. (2) The closed-loop system with an inverse-based controller is very sensitive to diagonal input uncertainty. With a diagonal controller, the system is not sensitive to diagonal input uncertainty, but the controller does not correct for the strong directionality of the plant and may therefore give poor performance even without uncertainty.