Parameter Estimation for Control of Hammerstein Systems with Dead-Zone Nonlinearity

Abstract

This paper focuses on the parameter identification and control for Hammerstein systems with dead-zone nonlinearity by using piecewise linear parametric expression method and model predictive control approach (MPC). To linearize the dead-zone nonlinearity, the piecewise linear functions are exploited to deal with dead-zone, and then, a piecewise linear parametric expression (for short, PLPE) algorithm is applied to describe the dead-zone function. Based on the described function, the considered system is transformed to a classical regression form. The parameters of the Hammerstein systems with dead-zone can be easily estimated by using least squares method. Based on dead-zone compensation, an MPC method is introduced to achieve the signal tracking output. Numerical simulation results indicate that the control system not only achieves the tracking output of the reference signal with a small tracking error but also produces an outstanding output response.