Design and Simulation of Nonlinear Hammerstein Systems Dynamic Matrix Control Algorithm

The dynamic matrix control (DMC) strategy is extended to a nonlinear system using Hammerstein model that consists of a static nonlinear polynomial function followed in series by a linear step response dynamic element. A new nonlinear Hammerstein DMC algorithm (named NLH-DMC) is presented in detail. The set point tracking and disturbance rejection simulation results of a strong nonlinear PH neutralization process control show that NLH-DMC gives better control performance than linear DMC (LDMC) and the nonlinear PID (NL-PID) controller commonly used in process industry. Further simulation experiment demonstrates that NLH-DMC not only gives good control response, but also possesses good stability and robustness even existing large modeling errors