Fault Tolerant Control Design for Nonlinear Polynomial Systems

This paper deals with the design of an original fault tolerant control strategy for a class of nonlinear polynomial systems. Our main contribution in this work consists in the synthesis of a polynomial static state feedback in the presence of model parameters variations. The controller is based on the feedback linearization formalism and the powerful mathematical tool of the Kronecker product. The control technique is synthesized through a moving horizon state estimator in order to preserve the online system closed-loop performances. An example illustrates the effectiveness of the proposed method via the study of the control problem of a series DC motor.