Abstract
This paper considers Fictitious Reference Iterative Tuning (FRIT) for disturbance attenuation based on variance evaluation for non-minimum phase (NMP) plants. The disturbance attenuation FRIT for minimum phase plants based on variance evaluation has already been proposed. However, this method can not be applied to NMP plants because occurrence of pole-zero cancellation results in internally unstable. This paper employs an H2 optimal controller with the help of a generalized interactor which was introduced in the context of control performance assessment for NMP plants by Huang and Shah (1999). In addition, we prove that optimization of a data-driven cost function results in obtaining simultaneously both the optimum controller and the plant model. A numerical example is shown to demonstrate the validity of the proposed method.
