scholarly journals Tracking and Almost Disturbance Decoupling for Nonlinear Systems with Uncertainties

2003 ◽  
Vol 46 (3) ◽  
pp. 1100-1107
Author(s):  
Chung-Cheng CHEN ◽  
Ting-Li CHIEN ◽  
Chia-Liang WEI
Keyword(s):  
Nonlinear Systems ◽  
Almost Disturbance Decoupling ◽  
Disturbance Decoupling

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

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Xiaoping Liu ◽  
Yajing Zhao ◽  
Caiyun Wang ◽  
Huanqing Wang ◽  
Yucheng Zhou
Keyword(s):  
Nonlinear Systems ◽  
Fractional Order ◽  
Initial Conditions ◽  
Design Method ◽  
Tracking Error ◽  
Lyapunov Stability Theory ◽  
External Disturbances ◽  
Output Tracking ◽  
Almost Disturbance Decoupling ◽  
Disturbance Decoupling

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 zero initial conditions. In order to validate these theoretical results, a numerical example and two practical examples are given.

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