Many control and observability theories for singularly perturbed systems require the full knowledge of system model parameters exceptionally if the system is concidered as black box. To overcome this problem and to obtain an accurate and faithful model, the present paper describes a new identification method for discrete-time nonlinear singularly perturbed systems using the coupled state multimodel representation. The Levenberg-Marquardt algorithm is used to identify not only the sub-models parameters but also the perturbation parameter ε. Two cases are considered to identify these systems. The first one supposes that the perturbation parameter of the real system is known and thus only the sub models parameters are identified. The second case supposes that this perturbation parameter is unknown and has to be identified with the other sub-models parameters. The simulation example demonstrates the effectiveness of the proposed identification.

No abstract

No abstract