Open-loop worst-case identification of nonSchur plants

This paper presents an LMI based algorithm for deterministic worst–case identification of non Schur plants in an open-loop setting. Contrary to other approaches dealing with this problem, the proposed technique does not require prior knowledge of a stabilizing controller. The main result of the paper shows that, as the information is completed, i.e. in the limit when the number of samples tends to infinity and the noise level tends to zero, the identified model converges, in the 2–induced topology, to the actual plant. Additional results include an algorithm outlining how to use the results of finite–lenght experiments to synthesize stabilizing controllers. Copyright c 2002 IFAC