Robust compensator design via structured stability radii (Q1105539)

The authors consider a system of the form \[ \dot x(t)=[A+LPR]x(t)+Bu(t),\quad y(t)=Cx(t) \] where A, L, R, B, C are known complex matrices and P is viewed as adisturbance matrix entering the system via the structure LPR. The problem is to design a low compensator such that the closed-loop system is stable and its robustness with respect to the perturbation P is maximized. Some sufficient conditions for these design objectives are given.