ON OBSERVER DESIGN FOR NONLINEAR CAPUTO FRACTIONAL-ORDER SYSTEMS

被引:36
作者
Jmal, Assaad [1 ]
Naifar, Omar [1 ]
Ben Makhlouf, Abdellatif [2 ]
Derbel, Nabil [1 ]
Hammami, Mohamed Ali [2 ]
机构
[1] Sfax Univ, Engn Natl Sch, Elect Engn Dept, Control & Energy Management Lab CEM Lab, BP 1173, Sfax 3038, Tunisia
[2] Sfax Univ, Fac Sci Sfax, Dept Math, BP 1171, Sfax 3000, Tunisia
关键词
Fractional-order systems; nonlinear systems; observer design; separation principle; STABILITY;
D O I
10.1002/asjc.1645
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The observer design problem for integer-order systems has been the subject of several studies. However, much less interest has been given to the more general fractional-order systems, where the fractional-order derivative is between 0 and 1. In this paper, a particular form of observers for integer-order Lipschitz, one-sided Lipschitz and quasi-one-sided Lipschitz systems, is extended to the fractional-order calculus. Then, the obtained states estimates are used for an eventual feedback control, and the separation principle is tackled. The effectiveness of the proposed scheme is shown through simulation for two numerical examples.
引用
收藏
页码:1533 / 1540
页数:8
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