Identification of nonlinear cascade systems with output hysteresis based on the key term separation principle

An approach to modeling and identification of nonlinear cascade systems with a linear dynamic system and an output hysteresis is presented. The proposed mathematical model is based on the application of the key term separation principle and a special form of Coleman–Hodgdon hysteresis model. A least-squares based iterative algorithm with internal variable estimation is used for the cascade systems parameter identification. The feasibility of proposed approach is demonstrated on illustrative examples.