Weighted sensitivity minimization: General plants in H∞ and rational weights

Abstract

For general plants in H ∞ and rational weighting functions, the problem of computing the weighted H ∞-optimal sensitivity is considered. A general formula is derived for a function ν(λ) whose singularities determine the optimal sensitivity [6]. A determinantal expression for the optimal sensitivity is then deduced and related to a conjecture of Zhou and Khargonekar.