An iterative scheme for identification and control design based on coprime factorizations

The topic of this paper is the design of a high performance compensator for an imprecisely known plant by means of approximate identification and model-based control design. For this purpose identification and control design have to be treated as the joint problem of finding a nominal model whose compensator achieves a high performance for the plant. This joint problem is tackled by an iterative scheme of repeated identification and control design. The scheme combines a frequency-domain identification technique and a robust control design method that are conceived in terms of coprime factors. An example attests to the utility of our iterative scheme for high performance control design.