Numerical algorithms for the largest structured singular value of a μ-synthesis control system

Numerical algorithms for the computation of an upper bound of the largest structured singular value arising from the μ-synthesis control problem are developed. Since the computation for the largest structured singular value has been shown to be an NP-hard problem in literatures, we concentrate the study on the computation for an upper bound of the largest structured singular value. A Newton's type method is proposed. Some theoretical results related to the method are investigated. Numerical implementation shows the efficiency of the method.