The adaptive control for a class of nonlinear systems based on dynamic approximate any higher-order Volterra model

The adaptive control algorithm, it´s parameter adaptive recursive predicting and noise estimator unified form are presented for a class of nonlinear discrete-time systems with multiple time delays based on dynamic approximate any higher-order nonlinearization increment simplified recursive predicting model of NARMAX model(with time delays and noise increment any higher-order Volterra model), adaptive control is employed for nonlinear systems with heavy multiple time delays, the simulation result for several typical nonlinear systems are given to demonstrate the correctness and effectiveness of approach proposed.