Design of LUT-controllers for nonlinear systems with PB models based on I/O linearization

This paper deals with the stabilization of nonlinear control systems approximated by piecewise bilinear (PB) models. The approximated model is found to be fully parametric and its controller is represented by the Look-Up-Table (LUT). The input-output (I/O) feedback linearization is applied to stabilize PB control systems. This paper proposes the PB modeling combined with the conventional feedback-linearization as a very powerful tool for the analysis and synthesis of nonlinear control systems. Illustrative examples are given to show the validity of the proposed method.