Operator-based robust control for nonlinear systems with noise disturbance

This paper considers the robust control for nonlinear systems with noise disturbances using operator-based robust right coprime factorization method. In details, according to the robust conditions, the robust controllers are designed to guarantee the corresponding Bezout identity for the nominal plant and the real plant with disturbances are satisfied, which means the equivalent system containing the disturbances is obtained, then the plant output can asymptotically tracks to the reference input while the whole nonlinear systems are robustly stable. The effectiveness of the proposed method is confirmed by the numerical example.