Abstract
This paper gives parameterizations of block decoupling controllers and achievable block‐diagonal I/O maps for linear multivariable plants under unity‐feedback configuration. The parameterizations, based on coprime factorizations and a special generalized Bezout identity, do not require the computation of Smith McMillan forms and, thus, can be reliably computed. It is also shown that through the construction of an admissible block decoupling precompensator, block decoupling controller design reduces to a set of controller designs for the block channels which are smaller in dimension.
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