Almost Disturbance Decoupling for a Class of Fractional-Order Nonlinear Systems with Zero Dynamics

Xiaoping Liu, Yajing Zhao, Caiyun Wang, Huanqing Wang, Yucheng Zhou
2020 Complexity  
The problem of almost disturbance decoupling is addressed for fractional-order nonlinear systems. A new definition for the norm is proposed to describe the effect of disturbances on the output tracking error for fractional-order systems. Based on the Lyapunov stability theory and the backstepping design method, a tracking controller is constructed to make the output tracking error converge to zero without external disturbances and to attenuate the effect of disturbances on the tracking error at
more » ... zero initial conditions. In order to validate these theoretical results, a numerical example and two practical examples are given.
doi:10.1155/2020/4742132 fatcat:gukc3athgnaglel5r7kovzy7ki