Robust H2 performance analysis for systems with nonlinear parametric uncertainties

In this paper algorithms for calculating the maximal perturbation bounds under H₂ performance constraints for systems with parametric uncertainties are presented. A family of systems is considered, described by state space models which depend nonlinearly on real uncertain parameters. The stability and performance robustness analysis are based on the same matrix algebra results, and the corresponding algorithms therefore are very similar in style. An example illustrates the algorithms and calculations.