A Feedback Linearization Method for Non-linear Control Systems Based on Model Error Compensator

Abstract

This paper deals with a kind of feedback linearization method for the nonlinear affine systems. In case of the standard feedback linearization method, the coordinate transformation is used and the nonlinear terms are canceled by using the nonlinear state feedback. Then, the input-output relation of the systems are linearized in the wide range of the state space. It is well known that the control system does not work well enough if there exists the modeling error and the disturbance. We propose a novel feedback linearization method to achieve good robust performance for the modeling error and disturbance. In our previous researches, a control structure to minimize the model error is proposed for the linear control systems. This structure of the control system is extended to the nonlinear control systems with some improvement. Since the extended control structure includes a feedback path of the error between the plant output and the desired model output, it is expected that the robustness is increasing in the meaning of input-output relation rather than the previous feedback linearization methods. The effectiveness of proposed structure is shown by numerical examples.