Multimodel identification of discrete-time nonlinear singularly perturbed system

Several physical systems are regarded as singularly perturbed systems. Therefore, it is necessary to determine models for these systems to facilitate their study. Whereas, identification problem of such systems is rarely evocated in literature. So, we propose in this work to identify the discrete-time nonlinear singularly perturbed systems using the uncoupled state multimodel approach. This approach is an effective method for modeling complex processes such as nonlinear systems. A numerical example given satisfactory results is presented to show the effectiveness of the proposed identification method.