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Process Control: Modeling, Design, and Simulation by B. Wayne Bequette

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13.3. The General Pairing Problem

Given a general multivariable process diagram, how do we select the pairings for a control structure that consists of multiple SISO loops? In the following sections, we use matrix vector notation, where y(s) is a vector of n outputs and u(s) is a vector of m inputs,

Equation 13.1

Equation 13.2

where each output can be represented by

Equation 13.3

To form a MVSISO system, we must ask the following:

Which output ...

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