Full-Order State Observer Design for Nonlinear Systems Based on Piecewise Bilinear Models

This paper proposes a full-order state observer design of nonlinear control systems approximated by piecewise bilinear (PB) models. We construct PB model of nonlinear control systems. The approximated system is found to be fully parametric. The input-output (I/O) feedback linearization is applied to stabilize PB control systems. The design method is capable of designing the state observer and the servo controller of nonlinear systems separately. Although the controller is simpler than the conventional I/O feedback linearization controller, the control performance based on PB model is the same as the conventional one. We present the PB modeling combined with the conventional feedback linearization as a very powerful tool for the analysis and synthesis of nonlinear control systems. An illustrative example confirms the feasibility of our proposals.