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

被引：2

作者：

Liu, Xiaoping ^{[1
]}

Zhao, Yajing ^{[2
]}

Wang, Caiyun ^{[3
]}

Wang, Huanqing ^{[2
,4
]}

Zhou, Yucheng ^{[2
]}

机构：

[1] Lakehead Univ, Fac Engn, Thunder Bay, ON P7B 5E1, Canada

[2] Shandong Jianzhu Univ, Sch Informat & Elect Engn, Jinan, Peoples R China

[3] Shandong Jianzhu Univ, Sch Sci, Jinan, Peoples R China

[4] Bohai Univ, Dept Math, Jinzhou 12100, Peoples R China

来源：

COMPLEXITY | 2020年 / 2020卷

关键词：

GLOBAL ASYMPTOTIC STABILITY; OUTPUT TRACKING; TIME-DELAY; FEEDBACK; STABILIZATION; EQUATION;

D O I：

10.1155/2020/4742132

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：13

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