Identification and control of Hammerstein systems with dead-zone input

In this paper, a model predictive control (MPC) scheme based on the result of the parameter estimation is presented for Hammerstein systems with dead-zone nonlinearity. Some proper piecewise linear functions are utilised to describe the multi-value mapping characteristic of dead-zone nonlinearity and then a piecewise linear parametric expression (for short, PLPE) approach is used to approximate the dead-zone function. Based on the results of PLPE approach, Hammerstein systems with dead-zone can be converted into a classical regression form which is easily estimated by using the recursive least square method. A model predictive control scheme is then developed by using the deadzone compensation for dead-zone principle and model predictive control technology. Numerical simulation results show that the system output not only tracks the reference signal with a small tracking error, but also indicates a good dynamic response.