CLC number: O23
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2022-11-18
Cited: 0
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Bingxin LI, Xiangfei ZHAO, Xuefeng ZHANG, Xin ZHAO. Observer-based control for fractional-order singular systems with order α (0<α<1) and input delay[J]. Frontiers of Information Technology & Electronic Engineering, 2022, 23(12): 1862-1870.
@article{title="Observer-based control for fractional-order singular systems with order α (0<α<1) and input delay",
author="Bingxin LI, Xiangfei ZHAO, Xuefeng ZHANG, Xin ZHAO",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="23",
number="12",
pages="1862-1870",
year="2022",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.2200294"
}
%0 Journal Article
%T Observer-based control for fractional-order singular systems with order α (0<α<1) and input delay
%A Bingxin LI
%A Xiangfei ZHAO
%A Xuefeng ZHANG
%A Xin ZHAO
%J Frontiers of Information Technology & Electronic Engineering
%V 23
%N 12
%P 1862-1870
%@ 2095-9184
%D 2022
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.2200294
TY - JOUR
T1 - Observer-based control for fractional-order singular systems with order α (0<α<1) and input delay
A1 - Bingxin LI
A1 - Xiangfei ZHAO
A1 - Xuefeng ZHANG
A1 - Xin ZHAO
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 23
IS - 12
SP - 1862
EP - 1870
%@ 2095-9184
Y1 - 2022
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/FITEE.2200294
Abstract: In this paper, observer-based control for fractional-order singular systems with order α (0<α<1) and input delay is studied. On the basis of the Smith predictor and approximation error, the system with input delay is approximately equivalent to the system without input delay. Furthermore, based on the linear matrix inequality (LMI) technique, the necessary and sufficient condition of observer-based control is proposed. Since the condition is a nonstrict LMI, including the equality constraint, it will lead to some trouble when solving problems using toolbox. Thus, the strict LMI-based condition is improved in the paper. Finally, a numerical example and a direct current motor example are given to illustrate the effectiveness of the strict LMI-based condition.
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