High-order sliding mode observer for fractional commensurate linear systems with unknown input

被引：45
作者：
Belkhatir, Zehor [1 ]
Laleg-Kirati, Taous Meriem [1 ]
机构：
[1] King Abdullah Univ Sci & Technol, Div Comp Elect & Math Sci & Engn CEMSE, Thuwal, Saudi Arabia
来源：
AUTOMATICA | 2017年 / 82卷
关键词：
Linear fractional order systems; High-order sliding mode observer; Estimation; Pseudo-state; Unknown input; CONTROLLERS;
D O I：
10.1016/j.automatica.2017.04.035
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a high-order sliding mode observer (HOSMO) is proposed for the joint estimation of the pseudo-state and the unknown input of fractional commensurate linear systems with single unknown input and a single output. The convergence of the proposed observer is proved using a Lyapunov-based approach. In addition, an enhanced variant of the proposed fractional-HOSMO is introduced to avoid the peaking phenomenon and thus to improve the estimation results in the transient phase. Simulation results are provided to illustrate the performance of the proposed fractional observer in both noise-free and noisy cases. The effect of the observer's gains on the estimated pseudo-state and unknown input is also discussed. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：209 / 217
页数：9
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