An interval method for computing the structured singular value of a transfer matrix with real uncertainty

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