Robust l1 Performance Analysis in face of Parametric Uncertainties

This paper presents a computational approach for analyzing the robust l_infin-gain (or the robust l₁ performance) of uncertain linear systems with parametric uncertainties. The method considers the class of systems where the state-space matrices may have a rational dependence on structured parametric time-invariant or time-varying uncertainties. The computation is based on robust semi-definite programming and provides a trade-off between accuracy and computational effort. A novel matrix inequality condition to determine the star-norm of discrete-time systems is derived as an auxiliary result