A cutting plane algorithm for robustness analysis of periodically time-varying systems

An algorithm for robustness analysis of periodic systems is derived. The sy stem under consideration consists of a linear periodically time-varying pla nt in feedback interconnection with a structured uncertainty, Conditions fo r robust stability and robust performance can be formulated in terms of per iodic integral quadratic constraints (IQCs), in this way, the robustness an alysis becomes a problem of optimizing the parameters of the IQC. A cutting plane algorithm is suggested for solving this infinite-dimensional optimiz ation problem.