Simplified, ideal or inverted decoupling?

Centralized multivariable control by simplified decoupling

“…Nevertheless, it is more difficult to find wind-up solutions for the multivariable case. A possible antiwindup scheme for simplified decoupling is described in [30]. It can be used for the proposed simplified decoupling plus decentralized PID control D(s)·C(s).…”

“…Although simulations using the proposed simplified decoupling control D(s)·C(s) are not shown, similar responses are obtained in all cases. The anti-windup scheme is implemented according to scheme proposed in [30] for the case 3×3.…”

An extended approach of inverted decoupling

“…It is rarely mentioned in the literature [11], [21], [22], [23], and in those cases, it is only applied to TITO processes using the scheme depicted in Figure 2. In this case, it is possible to keep the same apparent process of ideal decoupling while using the simple decoupler elements of simplified decoupling [11].…”

Improved constrained cascade control for parallel processes

“…The process transfer function matrix is: The perfect decoupler is built in the inverse form where each branch of the decoupler is fed before the other branch pickup point (Gagnon et al, 1998). Its transfer function is: As an extension of fig.…”