Decoupling precompensation and optimal decoupling

Ching-An Lin*, Chang Ming Wu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We study decoupling control under a unity-feedback configuration for linear multivariable plants. We parametrize the set of all admissible decoupling precompensators. With the parametrization, it is shown that decoupling controller design is equivalent to a set of SISO controller designs. The parametrization is also used to establish a necessary and sufficient condition for the existence of a stable decoupling controller. Optimal decoupling controller design is proposed and the cost of decoupling is discussed.


  • Admissible decoupling precompensator
  • Cost
  • Optimal decoupling


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