Nonlinear generalized minimum variance control and control performance assessment of nonlinear systems based on a Wiener model

Abstract

In this paper, a nonlinear generalized minimum variance (NGMV) controller based on a Wiener model is designed. The NGMV controller is used as a benchmark in control performance assessment to assess a class of nonlinear systems modelled by the proposed Wiener model, while a general linear disturbance is added in the output of the plant. It is shown that, to assess a nonlinear system, the routine input–output operating data and an estimated value of the intermediate signal in the Wiener model can be used to evaluate the performance of the current controller. The proposed methodology is simulated for two nonlinear plants with different nonlinear characteristics to show the effectiveness of the proposed approach.