Abstract
The perfect regulation (p.r.) of linear multivariable systems with external signal is considered. The minimal phase property plays an essential role for the existence of the p.r. Some asymptotically ideal closed-loop properties of the p.r. are demonstrated, such as the complete desensitization, the complete servo performance with decoupling and the complete disturbance rejection, which characterize the multivariable loop-tightness. An extension of the p.r. to non-minimum phase systems (the subperfect regulation) is derived, based on the cascade decomposition of the plant into the minimum phase part and the totally non-minimum phase part. It is a multivariable extension of a well-known design technique for scalar systems to overcome the difficulty of phase non-minimality.
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