Controller synthesis to achieve robust stability against bicoprime factor uncertainty: an LMI approach

Abstract In this paper, a Linear Matrix Inequality approach is presented for synthesizing controllers that robustly stabilize a plant against Bicoprime Factor uncertainty. Following the development of the general case, non-normalized results, the usefulness of normalized Bicoprime Factorizations is studied in this context and shown to be beneficial in deducing the existence of a robustly stabilizing controller for given robust stability margin. Finally, a numerical example is provided to demonstrate the practical applicability of the developed methodology.