State-Space Methods for µ-Analysis

This paper discusses state-space methods for analyzing stability of continuous time linear systems subject to structured uncertainties. Four types of uncertainties are discussed: linear parametric and dynamic uncertainties (real and complex µ) and nonlinear parametric and dynamic uncertainties. The method employs LMIs equipped with a scaling matrix adapted to the type of uncertainty. For parametric uncertainties conservativeness is reduced by branch and bound schemes. Different types of uncertainties can be mixed in this approach. The problem is convex except for the linear dynamic (complex µ) case