Identification and control of delayed SISO systems through pattern search methods

In this study, an approach to identify and control stable, unstable and integrating systems with unknown delays, framed on the generalized Pattern Search Method is presented. The proposed method inherits the global convergence properties of the generalized Pattern Search Method, allowing us to make a stability analysis of the proposed approach and delay identification capabilities. The proposed approach identifies the delay and guarantees closed-loop stability, which could be a difficult task since in unstable and integrating cases, open-loop experiments are not feasible. Simulation examples show the usefulness of the proposed strategy proving that the scheme is capable of identifying the delay and stabilizing the system even with long delay.