Observer design for a class of nonlinear fractional-order systems with unknown input

被引：35

作者：

Kong, Shulan ^{[1
]}

Saif, Mehrdad ^{[2
]}

Liu, Bing ^{[2
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

[2] Univ Windsor, Fac Engn Technol, Dept Elect & Comp Engn, Windsor, ON N9B 3P4, Canada

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2017年 / 354卷 / 13期

关键词：

STABILITY; SYNCHRONIZATION;

D O I：

10.1016/j.jfranklin.2017.06.011

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A full order fractional-order observer is designed for a class of Lipschitz continuous-time nonlinear fractional-order systems with unknown input. Sufficient conditions of existence for the designed observer and stability of state estimation error system are developed by reconstructing state and using general quadratic Lyapunov function. By applying fractional-order extension of Lyapunov direct method, the stability of the fractional-order state estimation error system is analyzed. Due to the conditions involving a nonlinear matrix inequality, a new sufficient condition with linear matrix inequality (LMI) is reformulated, which makes the full order fractional-order observer implemented easily by using Matlab LMI toolbox. Examples are taken to show the effectiveness of the proposed approach by numerical simulations. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：5503 / 5518

页数：16

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