FULL-ORDER AND REDUCED-ORDER OBSERVER DESIGN FOR A CLASS OF FRACTIONAL-ORDER NONLINEAR SYSTEMS

被引：22
|
作者：
Lan, Yong-Hong [1 ]
Wang, Liang-Liang [1 ]
Ding, Lei [2 ]
Zhou, Yong [3 ]
机构：
[1] Xiangtan Univ, Inst Control Engn, Xiangtan 411105, Hunan, Peoples R China
[2] Jishou Univ, Sch Phys Sci & Informat Engn, Jishou 416000, Hunan, Peoples R China
[3] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2016年 / 18卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Fractional-order nonlinear system; observer design; indirect Lyapunov approach; linear matrix inequality (LMI); ROBUST STABILIZATION; UNCERTAIN SYSTEMS; FRAGILE; STABILITY;
D O I：
10.1002/asjc.1230
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 paper is concerned with problem of the full-order and reduced-order observer design for a class of fractional-order one-sided Lipschitz nonlinear systems. By introducing a continuous frequency distributed equivalent model and using indirect Lyapunov approach, the sufficient condition for asymptotic stability of the full-order observer error dynamic system is presented. Furthermore, the proposed design method was extended to reduced-order observer design for fractional-order nonlinear systems. All the stability conditions are obtained in terms of LMI, which are less conservative than some existing ones. Finally, a numerical example demonstrates the validity of this approach.
引用
收藏
页码：1467 / 1477
页数：11
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