Ellipsoidal output-feedback sets for robust multi-performance synthesis

The paper deals with static output-feedback design. It adopts a new framework based on the synthesis of ellipsoidal sets of controllers. The contribution is to formulate conditions for robust multi-performance design. The performance levels are defined as H∞ and/or H2 norms on possibly distinct linear time invariant systems. Numerical computation is done with a cone complementarity algorithm and validates the theoretical results on an illustrative example.