Dyadic expansion, characteristic loci and multivariable-control-systems design

Recent results in the dyadic representation of system interactions are used to derive a systematic approach to the manipulation and compensation of the characteristic loci of a system described by the N × N transfer-function matrix G(s), using rational-transfer-function approximations to the characteristic loci. The approach is thought to strengthen the link between single-input and multivariable control-system design techniques by releasing well known classical compensation techniques for application to multivariable systems.