All solutions to a class of two-block μsynthesis problems

In this paper, we solve a class of two-block μ synthesis problems by showing that these problems can be converted to ℋ ∞ synthesis problems. The μsynthesis problems considered correspond to controller design problems where plant model uncertainty and closed-loop performance are captured using the same type of dynamic uncertainty. We show that we can solve two-block μsynthesis problems when both blocks correspond to additive, inverse additive or coprime factor uncertainty (left and right).