Representations of Robustly Stabilizing Controllers for Systems with Parameter Uncertainty

In this paper we consider the problem of robust stabilization for systems with parameter uncertainty. We first formulate a design methodology and then demonstrate how it leads to analytical and graphical solutions. We show that in the case of SISO plant families with linear uncertainty and, two-parameter controllers. one can obtain a representation of all robustly stabilizing controllers of a fixed order. We also show how the methodology can be used in obtaining representations of m-parameter robustly stabilizing controllers of a fixed order.