An Interval Method for Computing the Structured Singular Value of a Transfer Matrix with Real Uncertainty

Abstract

Singular value robustness tests can be used to analyze real parameter variations, but it is difficult to calculate the structured singular value(μ-norm)of a transfer matrix with real uncertainty. Thus far, the MATLAB(Matrix Laboratory)with μ-tools toolbox software package is the most widely used method for numerical computation of structured singular values. However, it can only obtain the lower and upper bounds of the μ-norm. We present a method developed from interval analysis which can compute the true value of the μ-norm in numerical computation.