Look-Up-Table controller design for nonlinear servo systems with piecewise bilinear models

This paper deals with servo control for nonlinear systems approximated by piecewise bilinear (PB) models. The approximated model is found to be fully parametric. The input-output (I/O) feedback linearization is applied to stabilize PB control systems. This paper proposes two methods to design servo controllers for nonlinear systems with PB models based on I/O linearization. One is a two-degree of freedom controller and the other is a model following controller. Illustrative examples are given to show the validity of the proposed method, where a controller is represented as a Look-Up-Table (LUT).