NUMERICAL ALGORITHMS FOR THE LARGEST STRUCTURED SINGULAR VALUE OF A $\mu$–SYNTHESIS CONTROL SYSTEM

Abstract

Numerical algorithms for the computation of an upper bound of the largest structured singular value arising from the $\mu$-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.