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Given that |tij|max ≡ bij and assume, for |t11|max = b11, that φ11 (the actual control ratio) is satisfied. Thus, for this situation it might be difficult to satisfy φ22, φ33, etc. If this is the case, then the designer needs to do a "trade-off" in trying to achieve the best performance possible. Performing the design in the high frequency range simplifies the task as discussed in Example 6.5. The equations for the determination of the cross-coupling bounds are:

For the first row of Fig. 5.11:

' 2 φφφφ 21 →→

φ φ