13.8. Using the RGA to Determine Variable Pairings

In the previous section, we showed how to tune controllers, assuming that a decision on the pairing had already been established. The purpose of this section is to give some examples to illustrate how inputs and outputs should be paired to form MVSISO control loops.

Example 13.1, continued

Consider the whiskey-blending problem, which had the steady-state process gain matrix and RGA:

indicating that the output-input pairings should be y1-u2 and y2-u1. In order to achieve this pairing, we could use the block diagram shown in Figure 13-13.

Figure 13-13. Control block diagram for 1-2/2-1 pairing. ...

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