Adaptive backstepping output feedback control for a class of nonlinear fractional order systems

被引：121
|
作者：
Wei, Yiheng [1 ]
Tse, Peter W. [2 ]
Yao, Zhao [3 ]
Wang, Yong [1 ]
机构：
[1] Univ Sci & Technol China, Dept Automat, Hefei 230026, Peoples R China
[2] City Univ Hong Kong, Dept Syst Engn & Engn Management, Tat Chee Ave, Hong Kong, Hong Kong, Peoples R China
[3] Changchun Univ Sci & Technol, Mech & Elect Engn Coll, Changchun 130022, Peoples R China
来源：
NONLINEAR DYNAMICS | 2016年 / 86卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Fractional order systems; Adaptive backstepping control; Frequency distributed model; Indirect Lyapunov method; Tracking differentiator; LYAPUNOV FUNCTIONS; STABILITY; STABILIZATION; DERIVATIVES; DISTURBANCE; PLANTS;
D O I：
10.1007/s11071-016-2945-4
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This article presents a novel fractional order adaptive backstepping output feedback control scheme for nonlinear fractional order systems. The needed feedback information is constructed via a state estimation filter. To improve the control performance, tracking differentiators, nonlinear elements and fractional order update laws were introduced and applied to the control systems. With the aids of this frequency distribute model and the indirect Lyapunov method, the stability and the tracking convergence of the resulting closed-loop system were established. A careful simulation study was provided to illustrate the effectiveness of this novel scheme.
引用
收藏
页码：1047 / 1056
页数：10
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